SUPERCONGRUENCES FOR A TRUNCATED HYPERGEOMETRIC SERIES

摘要

The purpose of this note is to obtain some congruences modulo a power of a prime p involving the truncated hypergeometric series !p?1 k=1 (x)k(1 ? x)k (1)2 k · 1 ka for a = 1 and a = 2. In the last section, the special case x = 1/2 is considered.