Congruences for the constant terms of powers of a Laurent polynomial
Speaker: Dr. Masha Vlasenko (UCD)
Time: 4.00PM
Date: Monday March 24th 2014
Location: CASL Seminar Room, Block 8, Belfield Office Park
Abstract: We prove that the constant terms of powers of a Laurent polynomial satisy certain congruences modulo prime powers. As a corollary, the generating series of these numbers considered as a function of a p-adic variable satifisies a non-trivial analytic continuation propety, similar to what B. Dwork showed for a class of hypergeometric series. The talk is based on a joint work with Anton Mellit.
Social Media Links