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Supercongruences for truncated hypergeometric series with applications to certain weight three newforms
Authors:Eric Mortenson
Affiliation:Department of Mathematics, University of Wisconsin, Madison, Wisconsin 53706
Abstract:We prove general results on supercongruences between values of truncated $_{n+1}F_{n}$ hypergeometric functions and their character analogs. As a consequence of the main results of this paper, we prove Beukers-type supercongruences for certain weight three newforms.

Keywords:Supercongruences
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