题目：           A q-microscope for supercongruences

报告人：      郭军伟教授 (淮阴师范学院)

时间地点：   2019.06.11  15:00pm  N205

摘要：           By examining asymptotic behavior of certain infinite basic (q-) hypergeometric sums at roots of unity (that is, at a q-microscopic level) we prove polynomial congruences for their truncations. The latter reduce to non-trivial (super)congruences for truncated ordinary hypergeometric sums, which have been observed numerically and proven rarely. A typical example includes derivation of some supercongruences from a q-analogue of Ramanujan's formula.