DOI

Fernando Rodriguez-Villegas has conjectured a number of supercongruences for hypergeometric Calabi-Yau manifolds of dimension d ≤ 3. For manifolds of dimension d = 1, he observed four potential supercongruences. Later the author proved one of the four. Motivated by Rodriguez-Villegas's work, in the present paper we prove a general result on supercongruences between values of truncated 2F1 hypergeometric functions and Gaussian hypergeometric functions. As a corollary to that result, we prove the three remaining supercongruences.
Язык оригиналаанглийский
Страницы (с-по)987-1007
Число страниц21
ЖурналTransactions of the American Mathematical Society
Том355
Номер выпуска3
DOI
СостояниеОпубликовано - 1 мар 2003

ID: 126316842