Abstract:
There are several known algorithms for proving combinatorial summation identities (due to Sister Celine, Gosper, and Wilf-Zeilberger, among others). Recently, there has been work adapting these algorithms to prove combinatorial congruences. In this talk, I will describe an algorithm for proving combinatorial congruences by computing expansions in terms of truncated multiple zeta values. I will also explain how to apply motivic Galois theory to these expansions to obtain a Galois theory of congruences.
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IMI(Institute of Mathematics for Industry)
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Proving combinatorial congruences with truncated multiple zeta values
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Hold Date | 2019-11-25 15:00～2019-11-25 16:00 |
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Place | Seminar Room W1-C-615, West Zone 1, Ito campus, Kyushu University |
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Speaker | Julian Rosen (University of Maine) |
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