Hypergeometric series with a p-adic variable

Jack Paul Diamond

Vol. 94 (1981), No. 2, 265–276

DOI: 10.2140/pjm.1981.94.265

Abstract

Hypergeometric series with a p-adic variable and ratios of such series, as originally considered by B. Dwork, are evaluated at x = 1. Koblitz’s conjecture on the limit of ratios of partial sums of hypergeometric series in the supersingular case is examined and a sufficient condition for the validity of this conjecture is given.

Mathematical Subject Classification

Primary: 12B40, 12B40

Secondary: 33A30

Milestones

Received: 3 March 1980

Published: 1 June 1981