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Congruences for Andrews' spt-function modulo 32760 and extension of Atkin's Hecke-type partition congruences
Andrews' spt-function Atkin's Hecke-type partition congruences
2010/11/15
New congruences are found for Andrews' smallest parts partition function spt(n). The generating function for spt(n) is related to the holomorphic part alpha(24z) of a certain weak Maass form M(z) of ...
Congruences on the Bell polynomials and the derangement polynomials
Bell polynomials Derangement polynomials Stirling numbers Congruences
2010/12/7
In this note, by the umbra calculus method, the Sun and Zagier’s congruences involving the Bell numbers and the derangement numbers are generalized to the polynomial cases. Some special congruences ar...