Alladi, Krishnaswami

124 papers

3930451
Alladi, Krishnaswami(1-FL)

Department of Mathematics, University of Florida
Gainesville, Florida, 32611
My association and collaboration with George Andrews: torchbearer of Ramanujan and partitions. (English summary) Lattice path combinatorics and applications, 47-70,
Dev. Math., 58, Springer, Cham, 2019.
01A70 (05-03 05A15 05A17 11P84)

3930450
Alladi, Krishnaswami(1-FL)

Department of Mathematics, University of Florida
Gainesville, Florida, 32611
Reflections on Shreeram Abhyankar. (English summary) Lattice path combinatorics and applications, 43-46,
Dev. Math., 58, Springer, Cham, 2019.
01A70 (14-03)

3831396
Alladi, Krishnaswami(1-FL)

Department of Mathematics, University of Florida
Gainesville, Florida, 32611 ; Defant, Colin(1-PRIN)

Department of Mathematics, Princeton University
Princeton, New Jersey, 08540
Revisiting the Riemann zeta function at positive even integers. (English summary)
Int. J. Number Theory 14 (2018), no. 7, 1849-1856.
11M06 (11B68 11B83)

3773907
Analytic number theory, modular forms and $q$ $q$ -hypergeometric series.
Proceedings of the Gainsville Number Theory Conference (ALLADI 60) in honor of Krishna Alladi's 60th birthday held at University of Florida, Gainsville, Fl, March 2016. Edited by George E. Andrews and Frank Garvan. Springer Proceedings in Mathematics & Statistics, 221. Springer, Cham, 2017. l+736 pp. ISBN: 978-3-319-68376-8; 978-3-319-68375-1
11-06 (05-06 33-06)

3751445
Alladi, Krishnaswami(1-FL-NDM)

University of Florida
Gainesville, Florida, 32611
Ramanujan in Mauritius.
Asia Pac. Math. Newsl. 7 (2017), no. 1, 16-20.
01A70

3713087
Alladi, Krishnaswami(1-FL)

Department of Mathematics, University of Florida
Gainesville, Florida, 32611
A multi-dimensional extension of Sylvester's identity. (English summary)
Int. J. Number Theory 13 (2017), no. 10, 2487-2504.
05A17 (05A19 33D15)

3713087
Alladi, Krishnaswami(1-FL)

3574620
Alladi, Krishnaswami(1-FL)

Department of Mathematics, University of Florida
Gainesville, Florida, 32611 ; Berndt, Bruce C.(1-IL)

Department of Mathematics, University of Illinois at Urbana-Champaign
Urbana, Illinois, 61801 ; Choie, YoungJu(KR-POST-NDM)

Pohang University of Science and Technology (POSTECH)
Pohang 790-784, Republic of Korea ; Pribitkin, Wladimir(1-CUNYS)

Department of Mathematics, College of Staten Island, CUNY
Staten Island, New York, 10301 ;
Preface [special issue in memory of Marvin Knopp].
Ramanujan J. 41 (2016), no. 1-3, 1-2.
01A70

3461933
Alladi, Krishnaswami(1-FL)
Partitions with non-repeating odd parts and combinatorial identities. (English summary)
Ann. Comb. 20 (2016), no. 1, 1-20.
05A17 (05A15 05A19)

3308390
Reflections on Paul Erdős on his birth centenary, Part II. (English summary)
Krishnaswami Alladi and Steven G. Krantz, coordinating editors.
Notices Amer. Math. Soc. 62 (2015), no. 3, 226-247.
01A70

3243609
Reflections on Paul Erdős on his birth centenary. (English summary)
Krishnaswami Alladi and Steven Krantz, coordinating editors.
Notices Amer. Math. Soc. 62 (2015), no. 2, 121-143.
01A70

3296718
Alladi, Krishnaswami(1-FL); Andrews, George E.(1-PAS)
The dual of Göllnitz's (big) partition theorem. (English summary)
Ramanujan J. 36 (2015), no. 1-2, 171-201.
05A17 (05A15 05A19 11B65 33D15)

3296707
Alladi, Krishnaswami(1-FL); Andrews, George E.(1-PAS); Ono, Ken(1-EMRY-CS); Robins, Sinai(1-BRN)
Preface [Dedicated to the memory of Basil Gordon].
Ramanujan J. 36 (2015), no. 1-2, 1-2.
01A70 (11-06)

3221301
Alladi, Krishnaswami(1-FL)
Partial theta identities of Ramanujan, Andrews, and Rogers-Fine involving the squares. (English summary) The legacy of Srinivasa Ramanujan, 29-53,
Ramanujan Math. Soc. Lect. Notes Ser., 20, Ramanujan Math. Soc., Mysore, 2013.
05A19 (05A10 05A17)

3157416
Quadratic and higher degree forms.
Edited by Krishnaswami Alladi, Manjul Bhargava, David Savitt and Pham Huu Tiep. Developments in Mathematics, 31. Springer, New York, 2013. x+298 pp. ISBN: 978-1-4614-7487-6; 978-1-4614-7488-3
11-06 (05-06 11Exx 14-06 33-06)

3087334
Combinatory analysis.
Dedicated to George Andrews. Including papers from the International Conference on Combinatory Analysis held at The Pennsylvania State University, University Park, PA, December 5–7, 2008. Edited by Krishnaswami Alladi, Peter Paule, James Sellers and Ae Ja Yee. Reprint of Ramanujan J. 23 (2010), no. 1-3. Developments in Mathematics, 32. Springer, New York, 2013. viii+472 pp. ISBN: 978-1-4614-7857-7; 978-1-4614-7858-4
11-06 (05-06 33-06)

3099272
Alladi, Krishnaswami(1-FL-NDM)
Homage to Srinivasa Ramanujan on the 125th anniversary of his birth. (English summary)
Eur. Math. Soc. Newsl. No. 88 (2013), 34–38.
01A70

3086395
Remembering Basil Gordon, 1931–2012.
Krishnaswami Alladi, coordinating editor.
Notices Amer. Math. Soc. 60 (2013), no. 7, 856–865.
01A70

3048663
Alladi, Krishnaswami(1-FL)
Variants of classical $q$ $q$ -hypergeometric identities and partition implications. (English summary)
Ramanujan J. 31 (2013), no. 1-2, 213–238.
05A17 (05A15 05A19)

3048649
Alladi, Krishnaswami(1-FL); Garvan, Frank(1-FL); Sills, Andrew(1-GSO)
Preface [International Conference on $q$ $q$ -Series, Partitions, and Special Functions in honor of Mourad Ismail for his 65th birthday and Dennis Stanton for his 60th birthday].
Held at Georgia Southern University, Statesboro, GA, March 14–16, 2011.
Ramanujan J. 31 (2013), no. 1-2, 1–2.
01A70 (11-06)

3052461
Srinivasa Ramanujan: going strong at 125, Part II. (English summary)
Krishnaswami Alladi, Editor.
Notices Amer. Math. Soc. 60 (2013), no. 1, 10–23.
01A70

2986626
Alladi, Krishnaswami(1-FL)
Ramanujan's place in the world of mathematics.
Essays providing a comparative study. With a foreword by George E. Andrews. Springer, New Delhi, 2013. xviii+177 pp. ISBN: 978-81-322-0766-5; 978-81-322-0767-2
01A70 (01A55 01A60)

3075591
Partitions, $q$ $q$ -series, and modular forms.
Edited by Krishnaswami Alladi and Frank Garvan. Developments in Mathematics, 23. Springer, New York, 2012. xii+224 pp. ISBN: 978-1-4614-0027-1; 978-1-4614-0028-8
11-06 (05-06 05Axx)

3027107
Srinivasa Ramanujan: going strong at 125, Part I. (English summary)
Krishnaswami Alladi, editor.
Notices Amer. Math. Soc. 59 (2012), no. 11, 1522–1537.
01A70

2994106
Alladi, Krishnaswami(1-FL)
Analysis of a generalized Lebesgue identity in Ramanujan's Lost Notebook. (English summary)
Ramanujan J. 29 (2012), no. 1-3, 339–358.
05A17 (05A15 05A19 11B65)

2994085
Alladi, Krishnaswami(1-FL); Andrews, George E.(1-PAS); Borwein, Jonathan M.(5-NEWC-SMP)
Preface [Ramanujan's 125th anniversary special volume].
Ramanujan J. 29 (2012), no. 1-3, 1–2.
11-06 (01A70)

2766454
The legacy of Alladi Ramakrishnan in the mathematical sciences.
Edited by Krishnaswami Alladi, John R. Klauder and Calyampudi R. Rao. Springer, New York, 2010. xviii+575 pp. ISBN: 978-1-4419-6262-1
00B15 (11-06 60-06 62-06)

2744260
Alladi, Krishnaswami(1-FL)
Partitions with non-repeating odd parts and $q$ $q$ -hypergeometric identities. (English summary) The legacy of Alladi Ramakrishnan in the mathematical sciences, 169–182, Springer, New York, 2010.
05A17 (05A15 33D15)

2744258
Alladi, Krishnaswami(1-FL)
Overseas trips of Alladi Ramakrishnan. The legacy of Alladi Ramakrishnan in the mathematical sciences, 73–80, Springer, New York, 2010.
01A70

2744256
Alladi, Krishnaswami(1-FL)
Telegrams received for the MATSCIENCE inauguration. The legacy of Alladi Ramakrishnan in the mathematical sciences, 25–65, Springer, New York, 2010.
01A70

2744255
Alladi, Krishnaswami(1-FL)
Alladi Ramakrishnan's theoretical physics seminar. The legacy of Alladi Ramakrishnan in the mathematical sciences, 11–24, Springer, New York, 2010.
01A70

2744254
Alladi, Krishnaswami(1-FL)
Contributions of Alladi Ramakrishnan to the mathematical sciences. The legacy of Alladi Ramakrishnan in the mathematical sciences, 3–9, Springer, New York, 2010.
01A70

2739214
Alladi, Krishnaswami(1-FL)
A combinatorial study and comparison of partial theta identities of Andrews and Ramanujan. (English summary)
Ramanujan J. 23 (2010), no. 1-3, 227–241.
11P81 (05A17 33D15)

2739200
Alladi, Krishnaswami(1-FL); Paule, Peter(A-LINZ); Sellers, James(1-PAS); Yee, Ae Ja(1-PAS)
Preface [Combinatory Analysis 2008].
Held at Pennsylvania State University, University Park, PA, December 5–7, 2008.
Ramanujan J. 23 (2010), no. 1-3, 1–2.
11-06 (05-06)

2574778
Alladi, Krishnaswami(1-FL)
A partial theta identity of Ramanujan and its number-theoretic interpretation. (English summary)
Ramanujan J. 20 (2009), no. 3, 329--339.
05A17 (05A19 11P83)

2584273
Alladi, Krishnaswami(1-FL)
A new combinatorial study of the Rogers-Fine identity and a related partial theta series. (English summary)
Int. J. Number Theory 5 (2009), no. 7, 1311--1320.
05A17 (05A15 05A19 33D15)

2435323
Surveys in number theory.
Edited by Krishnaswami Alladi. Developments in Mathematics, 17. Springer, New York, 2008. x+188 pp. ISBN: 978-0-387-78509-7
11-06 (05-06)

2405596
Alladi, Krishnaswami(1-FL); Berkovich, Alexander(1-FL)
Series and polynomial representations for weighted Rogers-Ramanujan partitions and products modulo 6. (English summary) Probability and number theory---Kanazawa 2005, 21--39,
Adv. Stud. Pure Math., 49, Math. Soc. Japan, Tokyo, 2007.
11P83 (05A17 05A19 33D15)

2192767
Alladi, Krishnaswami(1-FL); Andrews, George E.(1-PAS); Ono, Ken(1-WI); McIntosh, Richard J.(3-RGN)
On the work of Basil Gordon. (English. English summary)
J. Combin. Theory Ser. A 113 (2006), no. 1, 21--38.
11-03 (01A60 05A17 11Pxx)

2179269 (2006i:05017)
Alladi, Krishnaswami(1-FL); Berkovich, Alexander(1-FL)
Göllnitz-Gordon partitions with weights and parity conditions. (English summary) Zeta functions, topology and quantum physics, 1--17,
Dev. Math., 14, Springer, New York, 2005.
05A17 (05A30 11P83 33D15)

2063196
Alladi, K.(1-FL); Andrews, G. E.(1-PAS); Berkovich, A.(1-FL)
A four parameter generalization of Göllnitz's (big) partition theorem. (English. English summary)
Unusual applications of number theory, 1--7,
DIMACS Ser. Discrete Math. Theoret. Comput. Sci., 64,
Amer. Math. Soc., Providence, RI, 2004.
11P81 (05A15 05A17 11P83 33D15)

2053846
Alladi, Krishnaswami(1-FL); Berkovich, Alexander(1-FL)
New polynomial analogues of Jacobi's triple product and Lebesgue's identities. (English. English summary)
Adv. in Appl. Math. 32 (2004), no. 4, 801--824.
33D45 (11B65 11P81)

1992013
Alladi, Krishnaswami(1-FL); Andrews, George E.(1-PAS); Berkovich, Alexander(1-FL)
A new four parameter $q$-series identity and its partition implications. (English. English summary)
Invent. Math. 153 (2003), no. 2, 231--260.
05A30 (05A17 11B65 11P83 33D15)

1974131
Alladi, Krishnaswami(1-FL); Berkovich, Alexander(1-FL)
A limiting form of the $q$-Dixon $\sb 4\phi\sb 3$ summation and related partition identities. (English. English summary)
Number theoretic methods (Iizuka, 2001), 1--14,
Dev. Math., 8,
Kluwer Acad. Publ., Dordrecht, 2002.
11P83 (33D15)

1909082
Alladi, Krishnaswami(1-FL); Berkovich, Alexander(1-FL)
A double bounded version of Schur's partition theorem. (English. English summary)
Special issue: Paul Erdös and his mathematics.
Combinatorica 22 (2002), no. 2, 151--168.
11P83 (05A17 05A19 11P81)

1895193
Alladi, Krishnaswami(1-FL); Berkovich, Alexander(1-FL)
New weighted Rogers-Ramanujan partition theorems and their implications. (English. English summary)
Trans. Amer. Math. Soc. 354 (2002), no. 7, 2557--2577 (electronic).
11P83 (05A17 05A19)

1880077
Alladi, Krishnaswami(1-FL); Berkovich, Alexander(1-FL)
A double bounded key identity for Göllnitz's (big) partition theorem. (English. English summary)
Symbolic computation, number theory, special functions, physics and combinatorics (Gainesville, FL, 1999), 13--32,
Dev. Math., 4,
Kluwer Acad. Publ., Dordrecht, 2001.
11P81 (05A17 05A19 33D15)

1779605
Alladi, K.(1-FL); Solomon, R.(1-OHS); Turull, A.(1-FL)
Finite simple groups of bounded subgroup chain length. (English. English summary)
J. Algebra 231 (2000), no. 1, 374--386.
20E15 (11N05 20D05)

1768921
Alladi, Krishnaswami(1-FL)
Reformulations of a partition theorem of Göllnitz and $q$-series identities. (English. English summary)
$q$-series from a contemporary perspective (South Hadley, MA, 1998), 31--44,
Contemp. Math., 254,
Amer. Math. Soc., Providence, RI, 2000.
11P83 (05A15 05A17 05A19)

1738804
Alladi, Krishnaswami(1-FL)
A fundamental but unexploited partition invariant. (English. English summary)
Number theory and its applications (Kyoto, 1997), 19--23,
Dev. Math., 2,
Kluwer Acad. Publ., Dordrecht, 1999.
11P81 (05A17)

1691312
Alladi, Krishnaswami(1-FL)
A fundamental invariant in the theory of partitions. (English. English summary)
Topics in number theory (University Park, PA, 1997), 101--113,
Math. Appl., 467,
Kluwer Acad. Publ., Dordrecht, 1999.
05A17 (05A15 11P83 33D15)

1681630
Alladi, Krishnaswami(1-FL); Andrews, George E.(1-PAS)
A quartic key identity for a partition theorem of Göllnitz. (English. English summary)
J. Number Theory 75 (1999), no. 2, 220--236.
11P81 (05A17 05A19 05A30 11P83 33D15)

1664494
Alladi, Krishnaswami(1-FL)
A variation on a theme of Sylvester---a smoother road to Göllnitz's (big) theorem. (English. English summary)
Discrete Math. 196 (1999), no. 1-3, 1--11.
11P81 (11P83)

1775697
Analytic and elementary number theory.
A tribute to mathematical legend Paul Erdös. Reprint of Ramanujan J. 2 (1998), no. 1-2. Edited by K. Alladi, P. D. T. A. Elliott, A. Granville and G. Tenenbaum. Developments in Mathematics, 1.
Kluwer Academic Publishers, Boston, MA, 1998. 298 pp. ISBN 0-7923-8273-0
11-06 (00B30)

1715770
Alladi, Krishnaswami(1-FL)
A fundamental but unexploited partition invariant.
Number theory and its applications (Japanese) (Kyoto, 1997).
S\=urikaisekikenky\=usho K\=oky\=uroku No. 1060, (1998), 47--51.
11P83 (05A17 05A19 33D15)

1642869
Alladi, Krishnaswami(1-FL)
Partition identities involving gaps and weights. II. (English. English summary)
Paul Erdös (1913--1996).
Ramanujan J. 2 (1998), no. 1-2, 21--37.
11P83 (05A15 05A17 05A19 11P81)

1617309
Alladi, Krishnaswami(1-FL)
On a partition theorem of Göllnitz and quartic transformations. (English. English summary)
With an appendix by Basil Gordon.
J. Number Theory 69 (1998), no. 2, 153--180.
11P83 (05A17 05A30 33D10 33D20)

1478494
Alladi, Krishnaswami(1-FL); Andrews, George E.(1-PAS)
A new key identity for Göllnitz' (big) partition theorem. (English. English summary)
Number theory (Tiruchirapalli, 1996), 229--241,
Contemp. Math., 210,
Amer. Math. Soc., Providence, RI, 1998.
11P81 (05A17)

1610836
International Symposium on Number Theory.
Held at Anna University, Madras, January 1--2, 1996. Edited by Krishnaswami Alladi. Ramanujan J. 1 (1997), no. 4.
Kluwer Academic Publishers, Hingham, MA, 1997. pp. i--ii and 331--448.
11-06

1448677
Alladi, Krishnaswami(1-FL)
Refinements of Rogers-Ramanujan type identities. (English. English summary)
Special functions, $q$-series and related topics (Toronto, ON, 1995), 1--35,
Fields Inst. Commun., 14,
Amer. Math. Soc., Providence, RI, 1997.
11P83 (05A15)

1422593
Alladi, Krishnaswami(1-FL)
A combinatorial correspondence related to Göllnitz' (big) partition theorem and applications. (English. English summary)
Trans. Amer. Math. Soc. 349 (1997), no. 7, 2721--2735.
11P83 (11B65)

1401759
Alladi, Krishnaswami(1-FL)
Partition identities involving gaps and weights. (English. English summary)
Trans. Amer. Math. Soc. 349 (1997), no. 12, 5001--5019.
05A17

1418747
Alladi, Krishnaswami(1-FL)
The quintuple product identity and shifted partition functions. (English. English summary)
J. Comput. Appl. Math. 68 (1996), no. 1-2, 3--13.
33D20 (11P81 11P83 30B10)

1399329
Alladi, Krishnaswami(1-FL)
Weighted partition identities and applications. (English. English summary)
Analytic number theory, Vol. 1 (Allerton Park, IL, 1995), 1--15,
Progr. Math., 138,
Birkhäuser Boston, Boston, MA, 1996.
11P83 (05A17 05A19 11P81)

1345170
Alladi, Krishnaswami(1-FL)
The method of weighted words and applications to partitions. (English. English summary)
Number theory (Paris, 1992--1993), 1--36,
London Math. Soc. Lecture Note Ser., 215,
Cambridge Univ. Press, Cambridge, 1995.
11P83 (05A15 11B65 33D80)

1334229
Alladi, Krishnaswami(1-FL); Andrews, George(1-PAS); Gordon, Basil(1-UCLA)
Refinements and generalizations of Capparelli's conjecture on partitions.
J. Algebra 174 (1995), no. 2, 636--658.
11P81 (05A17)

1316576
Alladi, Krishnaswami(1-FL); Andrews, George E.(1-PAS); Gordon, Basil(1-UCLA)
Generalizations and refinements of a partition theorem of Göllnitz.
J. Reine Angew. Math. 460 (1995), 165--188.
11P81 (05A17 33D15)

1297520
Alladi, Krishnaswami(1-FL); Gordon, Basil(1-UCLA)
Schur's partition theorem, companions, refinements and generalizations. (English. English summary)
Trans. Amer. Math. Soc. 347 (1995), no. 5, 1591--1608.
11P83 (05A17 05A19 11P81)

1284910
Alladi, Krishnaswami(1-FL)
Some new observations on the Göllnitz-Gordon and Rogers-Ramanujan identities. (English. English summary)
Trans. Amer. Math. Soc. 347 (1995), no. 3, 897--914.
11P82 (05A30 11B65 11P81 33D10)

1284056
Alladi, Krishnaswami(1-FL); Gordon, Basil(1-UCLA)
Vanishing coefficients in the expansion of products of Rogers-Ramanujan type. (English. English summary)
The Rademacher legacy to mathematics (University Park, PA, 1992), 129--139,
Contemp. Math., 166,
Amer. Math. Soc., Providence, RI, 1994.
33D10 (11F33 33E99)

1268339
Alladi, Krishnaswami(1-FL)
On the modified convergence of some continued fractions of Rogers-Ramanujan type. (English. English summary)
J. Combin. Theory Ser. A 65 (1994), no. 2, 214--245.
11B65 (11A55 11P81)

1223685
Alladi, Krishnaswami(1-FL); Gordon, Basil(1-UCLA)
Partition identities and a continued fraction of Ramanujan. (English. English summary)
J. Combin. Theory Ser. A 63 (1993), no. 2, 275--300.
11P81 (11A55)

1216769
Alladi, Krishnaswami(1-FL); Gordon, Basil(1-UCLA)
Generalizations of Schur's partition theorem. (English. English summary)
Manuscripta Math. 79 (1993), no. 2, 113--126.
11P83

1019325
Alladi, Krishnaswami(1-FL)
The distribution of additive functions in special sets of integers.
Number theory, Madras 1987, 21--63,
Lecture Notes in Math., 1395,
Springer, Berlin, 1989.
11N60 (11K65)

1019323
Number theory, Madras 1987.
Proceedings of the International Ramanujan Centenary Conference held at Anna University, Madras, December 21, 1987. Edited by K. Alladi. Lecture Notes in Mathematics, 1395.
Springer-Verlag, Berlin, 1989. viii+234 pp. ISBN 3-540-51595-X
11-06

987571
Alladi, K.(1-FL); Erdös, P.(H-AOS); Vaaler, J. D.(1-TX)
Multiplicative functions and small divisors. II.
J. Number Theory 31 (1989), no. 2, 183--190.
11N37

990503
Alladi, Krishnaswami(1-FL)
Probabilistic number theory and Brun's sieve.
Séminaire de Théorie des Nombres, Paris 1986--87, 1--26,
Progr. Math., 75,
Birkhäuser Boston, Boston, MA, 1988.
11N60 (11K65)

971075
Alladi, Krishnaswami(6-MATSCI)
Multiplicative functions and Brun's sieve.
Acta Arith. 51 (1988), no. 3, 201--219.
11N35

1018367
Alladi, K.(6-MATSCI); Erdös, P.(H-AOS); Vaaler, J. D.(1-TX)
Multiplicative functions and small divisors.
Analytic number theory and Diophantine problems (Stillwater, OK, 1984), 1--13,
Progr. Math., 70,
Birkhäuser Boston, Boston, MA, 1987.
11N37

913766
Alladi, Krishnaswami(6-MATSCI)
An Erdös-Kac theorem for integers without large prime factors.
Acta Arith. 49 (1987), no. 1, 81--105.
11N60 (11N25)

970326

970325

970324

970323

804239
Alladi, Krishnaswami(6-MATSCI)
A new application of the sieve to probabilistic number theory.
Topics in analytic number theory (Austin, Tex., 1982), 1--27,
Univ. Texas Press, Austin, TX, 1985.
11N35 (11K65)

797776
Alladi, Krishnaswami(6-MATSCI)
A study of the moments of additive functions using Laplace transforms and sieve methods.
Number theory (Ootacamund, 1984), 1--37,
Lecture Notes in Math., 1122,
Springer, Berlin, 1985.
11N60 (11K65 11N35)

797775
Number theory.
Proceedings of the fourth Matscience conference held at Ootacamund, January 5--10, 1984. Edited by K. Alladi. Lecture Notes in Mathematics, 1122.
Springer-Verlag, Berlin, 1985. vi+217 pp. ISBN 3-540-15222-9
11-06

789168
Alladi, Krishnaswami
Moments of additive functions and the sequence of shifted primes.
Pacific J. Math. 118 (1985), no. 2, 261--275.
11K65 (11N60)

750660
Alladi, Krishnaswami(1-IASP)
Moments of additive functions and sieve methods.
Number theory (New York, 1982), 1--25,
Lecture Notes in Math., 1052,
Springer, Berlin, 1984.
11M56 (11K65)

665437
Alladi, Krishnaswami
Additive functions and special sets of integers.
Number theory (Mysore, 1981), pp. 1--49,
Lecture Notes in Math., 938,
Springer, Berlin-New York, 1982.
10K20

667466
Alladi, Krishnaswami
The Turán-Kubilius inequality for integers without large prime factors.
J. Reine Angew. Math. 335 (1982), 180--196.
10H22 (10K20)

665447
Alladi, Krishnaswami; Ramachandra, K.; Ram Murthy, M.; Sivaramakrishnan, R.
Problem session.
Number theory (Mysore, 1981), pp. 170--177,
Lecture Notes in Math., 938,
Springer, Berlin-New York, 1982.
10-02

657120
Alladi, Krishnaswami
The distribution of $\nu (n)$ in the sieve of Eratosthenes.
Quart. J. Math. Oxford Ser. (2) 33 (1982), no. 130, 129--148.
10H25 (10K20)

656482

644903

665436
Number theory.
Proceedings of the Third Matscience Conference held in Mysore, June 3--6, 1981. Edited by Krishnaswami Alladi. Lecture Notes in Mathematics, 938.
Springer-Verlag, Berlin-New York, 1982. ix+177 pp. ISBN 3-540-11568-4
10-06

627396
Alladi, Krishnaswami
On the probability that $n$ and $\Omega (n)$ are relatively prime.
Fibonacci Quart. 19 (1981), no. 3, 228--233.
10H25

615918
Alladi, Krishnaswami
The Moebius function and numbers with restricted prime factors.
Proceedings of the Conference on Number Theory (Mysore, 1979), pp. 1--46,
Matscience Rep., 101,
Aarhus Univ., Aarhus, 1980.
10H25

579389
Alladi, K.; Robinson, M. L.
Legendre polynomials and irrationality.
J. Reine Angew. Math. 318 (1980), 137--155.
10F35

603805
Alladi, Krishnaswami
Legendre polynomials and irrational numbers.
Matscience Report, 100.
Aarhus University, Institute of Mathematics, Department of Theoretical Statistics, Aarhus, 1979. 84 pp.
10F35 (10-01 33A65)

564919
Alladi, K.; Robinson, M. L.
On certain irrational values of the logarithm.
Number theory, Carbondale 1979 (Proc. Southern Illinois Conf., Southern Illinois Univ., Carbondale, Ill., 1979), pp. 1--9,
Lecture Notes in Math., 751,
Springer, Berlin, 1979.
10F35

551689
Alladi, K.; Erdös, P.
On the asymptotic behavior of large prime factors of integers.
Pacific J. Math. 82 (1979), no. 2, 295--315.
10H15

522715
Alladi, K.; Erdös, P.; Hoggatt, V. E., Jr.
On additive partitions of integers.
Discrete Math. 22 (1978), no. 3, 201--211.
10A45 (05A05 05C15)

557005
Hoggatt, V. E., Jr.; Alladi, Krishnaswami
Compositions and recurrence relations. II.
Fibonacci Quart. 15 (1977), no. 3, 239--245.
10A35

480313
Hoggatt, V. E., Jr.; Alladi, Krishnaswami
Limiting ratios of convolved recursive sequences.
Fibonacci Quart. 15 (1977), no. 3, 211--214.
10A35

476666
Alladi, Krishnaswami
Duality between prime factors and an application to the prime number theorem for arithmetic progressions.
J. Number Theory 9 (1977), no. 4, 436--451.
10H15

472663
Alladi, Krishnaswami
Analogues to the Hardy-Ramanujan theorems.
Proceedings of the Conference on Matrix Algebra, Computational Methods and Number Theory (Mysore, 1976), Paper No. 3, 19 pp. Matscience Report No. 87,
Inst. Math. Sci., Madras, 1977.
10A25

453674
Alladi, Krishnaswami; Grinstead, Charles
On the decomposition of $n!$ into prime powers.
J. Number Theory 9 (1977), no. 4, 452--458.
10H25

447086
Alladi, K.; Erdös, P.
On an additive arithmetic function.
Pacific J. Math. 71 (1977), no. 2, 275--294.
10A20 (10A45)

441840
Alladi, Krishnaswami; Shannon, A. G.
On a property of consecutive Farey-Fibonacci fractions.
Fibonacci Quart. 15 (1977), no. 2, 153--155.
10A35

439721
Alladi, Krishnaswami
On arithmetic functions and divisors of higher order.
J. Austral. Math. Soc. Ser. A 23 (1977), no. 1, 9--27.
10A20

427218
Alladi, Krishnaswami; Hoggatt, V. E., Jr.
On Tribonacci numbers and related functions.
Fibonacci Quart. 15 (1977), no. 1, 42--45.
10A35

427081
Alladi, Krishnaswami
On polynomials generated by triangular arrays.
Fibonacci Quart. 14 (1976), no. 5, 461--465.
05A10 (10A35)

407730
Hoggatt, Verner E., Jr.; Alladi, Krishnaswami
In-winding spirals.
Fibonacci Quart. 14 (1976), no. 2, 144--146.
52A45

485656
Alladi, Krishnaswami
New concepts in arithmetic functions.
MATSCIENCE Report No. 83.
The Institute of Mathematical Sciences, Madras, 1975. iii+68 pp. (not consecutively paged).
10A20

409337
Alladi, Krishnaswami; Hoggatt, V. E., Jr.
Compositions with ones and twos.
Fibonacci Quart. 13 (1975), no. 3, 233--239.
10A30

401627
Alladi, Krishnaswami
A rapid method to form Farey Fibonacci fractions.
Fibonacci Quart. 13 (1975), 31--32.
10A35

401626
Alladi, Krishnaswami
A Farey sequence of Fibonacci numbers.
Fibonacci Quart. 13 (1975), 1--10.
10A35

382156
Alladi, Krishnaswami
Sets generated by arithmetic sequences.
Proc. Indian Acad. Sci. Sect. A 81 (1975), no. 6, 245--251.
10A45

376548
Alladi, Krishnaswami
Approximation of irrationals with Farey Fibonacci fractions.
Fibonacci Quart. 13 (1975), no. 3, 255--259.
10F35

364075
Hoggatt, Verner E., Jr.; Alladi, Krishnaswami
Generalized Fibonacci tiling.
Fibonacci Quart. 13 (1975), 137--145.
10A35

409369
Alladi, Krishnaswami
Diophantine approximation.
Lectures delivered at Matscience. Matscience report 80.
Institute of Mathematical Sciences, Madras, 1974. 56 pp. (not consecutively paged).
10FXX

432518
Alladi, Krishnaswami
Contributions to number theory.
Revised and enlarged edition. Matscience Report, No. 74-A.
The Institute of Mathematical Sciences, Madras, 1973. ii+100 pp. (not consecutively paged).
10AXX