Vol. 94, No. 2, 1981

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Hypergeometric series with a p-adic variable

Jack Paul Diamond

Vol. 94 (1981), No. 2, 265–276
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
Authors
Jack Paul Diamond