Affiliation: University of Mysore, India
Email: c_adiga@hotmail.com
Title Of Talk: SUMS OF SQUARES AND SUMS OF TRIANGULAR NUMBERS AND THEIR RELATIONSHIP
Abstract: The study of representations of an integer as sums of squares is one of the most beautiful problems in the theory of numbers. In this talk, we first briefly review some of the advances in this area. We then describe how basic bilateral hypergeometric series summation formulas such as Rmanujan's summation formula and transformation formula due to W.N.Bailey plays an important role in the theory of representations of numbers by sums of squares and triangular numbers. Finally, we present a general relation between sums of squares and sums of triangular numbers.This talk is based on joint work with Shaun Cooper and Jung Hun Han.
Last update made Thu Nov 11 14:45:54 EST 2004.
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