2018.8.3-8.9 学术活动预告
2018/8/2 10:15:29 中国科学院数学与系统科学研究院

     Speaker:

     夏先伟, 温州大学

     Title:

     Arithmetic properties for Ramanujan's function

     Time & Venue:

     2018.8.8 15:00 N205

     Abstract:

     In 2012, Chan proved a number of congruences for the coefficients of Ramanujan's function. In this paper, we prove some new congruences modulo powers of 2,3,5 and 7 for Ramanujan's function by employing Newman's theory and theta function identities.

     Speaker:

     刘纪彩, 温州大学

     Title:

     Semi-automated proof of supercongruences on partial sums of hypergeometric series

     Time & Venue:

     2018.8.8 16:00 N205

     Abstract:

     Using the software package Sigma developed by Schneider, we automatically discover and prove some combinatorial identities involving harmonic numbers, from which we deduce some supercongruences on partial sums of hypergeometric series. These results confirm some conjectural generalizations of van Hamme's (B.2) and (C.2) supercongruences in some special cases, and extend van Hamme's (A.2) and (H.2) supercongruences to the cases modulo p 4.

     来源：中国科学院数学与系统科学研究院

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