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Supercongruences between truncated 2F1 hypergeometric functions and their Gaussian analogs. / Mortenson, Eric.

в: Transactions of the American Mathematical Society, Том 355, № 3, 01.03.2003, стр. 987-1007.

Результаты исследований: Научные публикации в периодических изданиях › статья › Рецензирование

Harvard

Mortenson, E 2003, 'Supercongruences between truncated 2F1 hypergeometric functions and their Gaussian analogs', Transactions of the American Mathematical Society, Том. 355, № 3, стр. 987-1007. https://doi.org/10.1090/S0002-9947-02-03172-0

APA

Mortenson, E. (2003). Supercongruences between truncated 2F1 hypergeometric functions and their Gaussian analogs. Transactions of the American Mathematical Society, 355(3), 987-1007. https://doi.org/10.1090/S0002-9947-02-03172-0

Vancouver

Mortenson E. Supercongruences between truncated 2F1 hypergeometric functions and their Gaussian analogs. Transactions of the American Mathematical Society. 2003 Март 1;355(3):987-1007. https://doi.org/10.1090/S0002-9947-02-03172-0

Author

Mortenson, Eric. / Supercongruences between truncated 2F1 hypergeometric functions and their Gaussian analogs. в: Transactions of the American Mathematical Society. 2003 ; Том 355, № 3. стр. 987-1007.

BibTeX

@article{78bdae5473124850aea0434143b70f7f,
title = "Supercongruences between truncated 2F1 hypergeometric functions and their Gaussian analogs",
abstract = "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.",
keywords = "Supercongruences",
author = "Eric Mortenson",
year = "2003",
month = mar,
day = "1",
doi = "10.1090/S0002-9947-02-03172-0",
language = "English",
volume = "355",
pages = "987--1007",
journal = "Transactions of the American Mathematical Society",
issn = "0002-9947",
publisher = "American Mathematical Society",
number = "3",

}

RIS

TY - JOUR

T1 - Supercongruences between truncated 2F1 hypergeometric functions and their Gaussian analogs

AU - Mortenson, Eric

PY - 2003/3/1

Y1 - 2003/3/1

N2 - 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.

AB - 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.

KW - Supercongruences

UR - http://www.scopus.com/inward/record.url?scp=0037339162&partnerID=8YFLogxK

U2 - 10.1090/S0002-9947-02-03172-0

DO - 10.1090/S0002-9947-02-03172-0

M3 - Article

AN - SCOPUS:0037339162

VL - 355

SP - 987

EP - 1007

JO - Transactions of the American Mathematical Society

JF - Transactions of the American Mathematical Society

SN - 0002-9947

IS - 3

ER -

ID: 126316842