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A supercongruence conjecture of Rodriguez-Villegas for a certain truncated hypergeometric function. / Mortenson, Eric.

In: Journal of Number Theory, Vol. 99, No. 1, 01.03.2003, p. 139-147.

Research output: Contribution to journal › Article › peer-review

Harvard

Mortenson, E 2003, 'A supercongruence conjecture of Rodriguez-Villegas for a certain truncated hypergeometric function', Journal of Number Theory, vol. 99, no. 1, pp. 139-147. https://doi.org/10.1016/S0022-314X(02)00052-5

APA

Mortenson, E. (2003). A supercongruence conjecture of Rodriguez-Villegas for a certain truncated hypergeometric function. Journal of Number Theory, 99(1), 139-147. https://doi.org/10.1016/S0022-314X(02)00052-5

Vancouver

Mortenson E. A supercongruence conjecture of Rodriguez-Villegas for a certain truncated hypergeometric function. Journal of Number Theory. 2003 Mar 1;99(1):139-147. https://doi.org/10.1016/S0022-314X(02)00052-5

Author

Mortenson, Eric. / A supercongruence conjecture of Rodriguez-Villegas for a certain truncated hypergeometric function. In: Journal of Number Theory. 2003 ; Vol. 99, No. 1. pp. 139-147.

BibTeX

@article{c66bd50b883240f9845c7f83d544e362,
title = "A supercongruence conjecture of Rodriguez-Villegas for a certain truncated hypergeometric function",
abstract = "Fernando Rodriguez-Villegas has been studying hypergeometric families of Calabi-Yau manifolds, and from his investigations he has found (numerically) many possible supercongruences. For example, he conjectures for every odd prime p that Here, we use the theory of Gaussian hypergeometric series, the properties of the p-adic Γ-function, and a strange combinatorial identity to prove this conjecture. {\textcopyright} 2002 Elsevier Science (USA). All rights reserved.",
keywords = "Supercongruences",
author = "Eric Mortenson",
year = "2003",
month = mar,
day = "1",
doi = "10.1016/S0022-314X(02)00052-5",
language = "English",
volume = "99",
pages = "139--147",
journal = "Journal of Number Theory",
issn = "0022-314X",
publisher = "Elsevier",
number = "1",

}

RIS

TY - JOUR

T1 - A supercongruence conjecture of Rodriguez-Villegas for a certain truncated hypergeometric function

AU - Mortenson, Eric

PY - 2003/3/1

Y1 - 2003/3/1

N2 - Fernando Rodriguez-Villegas has been studying hypergeometric families of Calabi-Yau manifolds, and from his investigations he has found (numerically) many possible supercongruences. For example, he conjectures for every odd prime p that Here, we use the theory of Gaussian hypergeometric series, the properties of the p-adic Γ-function, and a strange combinatorial identity to prove this conjecture. © 2002 Elsevier Science (USA). All rights reserved.

AB - Fernando Rodriguez-Villegas has been studying hypergeometric families of Calabi-Yau manifolds, and from his investigations he has found (numerically) many possible supercongruences. For example, he conjectures for every odd prime p that Here, we use the theory of Gaussian hypergeometric series, the properties of the p-adic Γ-function, and a strange combinatorial identity to prove this conjecture. © 2002 Elsevier Science (USA). All rights reserved.

KW - Supercongruences

UR - http://www.scopus.com/inward/record.url?scp=0037335294&partnerID=8YFLogxK

U2 - 10.1016/S0022-314X(02)00052-5

DO - 10.1016/S0022-314X(02)00052-5

M3 - Article

AN - SCOPUS:0037335294

VL - 99

SP - 139

EP - 147

JO - Journal of Number Theory

JF - Journal of Number Theory

SN - 0022-314X

IS - 1

ER -

ID: 126316763