English

P-adic hypergeometrics

Number Theory 2018-03-30 v1

Abstract

We study classical hypergeometric series as a p-adic function of its parameters inspired by a problem in the American Mathematical Monthly solved by D. Zagier. This is an extended abstract of a talk given at the workshop "Hypergeometric motives and Calabi-Yau differential equations" at the Mathematical Research Institute (MATRIX) of The University of Melbourne in Creswick, Australia in January of 2017.

Keywords

Cite

@article{arxiv.1803.10802,
  title  = {P-adic hypergeometrics},
  author = {Fernando Rodriguez Villegas},
  journal= {arXiv preprint arXiv:1803.10802},
  year   = {2018}
}
R2 v1 2026-06-23T01:08:11.402Z