EXTENDING GAUSSIAN HYPERGEOMETRIC SERIES TO THE p-ADIC SETTING
From MaRDI portal
Publication:3166336
DOI10.1142/S1793042112500844zbMATH Open1253.33024arXiv1204.1574MaRDI QIDQ3166336
Author name not available (Why is that?)
Publication date: 11 October 2012
Published in: (Search for Journal in Brave)
Abstract: We define a function which extends Gaussian hypergeometric series to the -adic setting. This new function allows results involving Gaussian hypergeometric series to be extended to a wider class of primes. We demonstrate this by providing various congruences between the function and truncated classical hypergeometric series. These congruences provide a framework for proving the supercongruence conjectures of Rodriguez-Villegas.
Full work available at URL: https://arxiv.org/abs/1204.1574
No records found.
No records found.
This page was built for publication: EXTENDING GAUSSIAN HYPERGEOMETRIC SERIES TO THE p-ADIC SETTING
Report a bug (only for logged in users!)Click here to report a bug for this page (MaRDI item Q3166336)
