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Modularity of a certain Calabi-Yau threefold and combinatorial congruences. / Mortenson, Eric.

In: Ramanujan Journal, Vol. 11, No. 1, 01.02.2006, p. 5-39.

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

Harvard

Mortenson, E 2006, 'Modularity of a certain Calabi-Yau threefold and combinatorial congruences', Ramanujan Journal, vol. 11, no. 1, pp. 5-39. https://doi.org/10.1007/s11139-006-5305-z

APA

Mortenson, E. (2006). Modularity of a certain Calabi-Yau threefold and combinatorial congruences. Ramanujan Journal, 11(1), 5-39. https://doi.org/10.1007/s11139-006-5305-z

Vancouver

Mortenson E. Modularity of a certain Calabi-Yau threefold and combinatorial congruences. Ramanujan Journal. 2006 Feb 1;11(1):5-39. https://doi.org/10.1007/s11139-006-5305-z

Author

Mortenson, Eric. / Modularity of a certain Calabi-Yau threefold and combinatorial congruences. In: Ramanujan Journal. 2006 ; Vol. 11, No. 1. pp. 5-39.

BibTeX

@article{d424e37168f940209fd1a38c6186409f,
title = "Modularity of a certain Calabi-Yau threefold and combinatorial congruences",
abstract = "We prove a certain Calabi-Yau threefold is modular in the sense that the number of points on its reduction modulo p is expressed in terms of the pth coefficient of a weight 4 newform in S 4(Γ 0(6)). We also give a mod p 2 combinatorial expression for these coefficients. {\textcopyright} Springer Science + Business Media, LLC 2006.",
keywords = "Calabi-Yau threefold, Modular forms, Trace formula",
author = "Eric Mortenson",
year = "2006",
month = feb,
day = "1",
doi = "10.1007/s11139-006-5305-z",
language = "English",
volume = "11",
pages = "5--39",
journal = "Ramanujan Journal",
issn = "1382-4090",
publisher = "Springer Nature",
number = "1",

}

RIS

TY - JOUR

T1 - Modularity of a certain Calabi-Yau threefold and combinatorial congruences

AU - Mortenson, Eric

PY - 2006/2/1

Y1 - 2006/2/1

N2 - We prove a certain Calabi-Yau threefold is modular in the sense that the number of points on its reduction modulo p is expressed in terms of the pth coefficient of a weight 4 newform in S 4(Γ 0(6)). We also give a mod p 2 combinatorial expression for these coefficients. © Springer Science + Business Media, LLC 2006.

AB - We prove a certain Calabi-Yau threefold is modular in the sense that the number of points on its reduction modulo p is expressed in terms of the pth coefficient of a weight 4 newform in S 4(Γ 0(6)). We also give a mod p 2 combinatorial expression for these coefficients. © Springer Science + Business Media, LLC 2006.

KW - Calabi-Yau threefold

KW - Modular forms

KW - Trace formula

UR - http://www.scopus.com/inward/record.url?scp=33645573272&partnerID=8YFLogxK

U2 - 10.1007/s11139-006-5305-z

DO - 10.1007/s11139-006-5305-z

M3 - Article

AN - SCOPUS:33645573272

VL - 11

SP - 5

EP - 39

JO - Ramanujan Journal

JF - Ramanujan Journal

SN - 1382-4090

IS - 1

ER -

ID: 126317004