University of Florida
Mathematics Department 13th Erdos Colloquium
by Professor George E. Andrews ^{*}The Pennsylvania State University on
Partition Function Differences, Ehrenpreis's Problem and a New/Old
Method
Here is a typical example of the questions posed. The late Leon Ehrenpreis asked in 1987 if one could prove that the number of partitions of n into parts congruent to 1 or 4 mod 5 is always at least as large as the number with parts congruent to 2 or 3 mod 5 WITHOUT using the Rogers-Ramanujan identities. Subsequently Baxter and I gave a "sort of" solution to the problem, and Kevin Kadell gave a complete solution in 1999.
^{*}
ABOUT THE SPEAKER:
George Andrews, one of the world's most eminent mathematicians, is the premier authority in the theory of partitions and q-hypergeometric series.
He shot to fame in the 1970s when he discovered Ramanujan's Lost Notebook at the Wren Library in Cambridge University and wrote a series of important papers in Advances in Mathematics in which he explained Ramanujan's spectacular results in the context of current research, and in that process made fundamental improvements as well.
He and Professor Bruce Berndt of the
University of Illinois are currently "editing" Ramanujan's Lost
Notebook in series of volumes, two of which have been
published by Springer.
In a long and distinguished career spanning several decades, Professor Andrews has received numerous recognitions, including the Guggenheim Fellowship in 1982-82, the invitation to give the Hedrick Lectures for the Mathematical Association of America in 1980, the election to the American Academy of Arts and Sciences in 1997, the award of an Honorary Doctorate by the University of Florida in 2002, and the election to the National Academy of Sciences in 2004.
He is the current President of the American Mathematical Society.
Created Friday, January 28, 2011. Last update made Fri Jan 28 12:19:38 EST 2011. |