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Threefield identities and simultaneous representations of primes by binary quadratic forms. / Mortenson, Eric.

в: Journal of Number Theory, Том 133, № 11, 01.11.2013, стр. 3902-3920.

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

Harvard

Mortenson, E 2013, 'Threefield identities and simultaneous representations of primes by binary quadratic forms', Journal of Number Theory, Том. 133, № 11, стр. 3902-3920. https://doi.org/10.1016/j.jnt.2013.05.001

APA

Mortenson, E. (2013). Threefield identities and simultaneous representations of primes by binary quadratic forms. Journal of Number Theory, 133(11), 3902-3920. https://doi.org/10.1016/j.jnt.2013.05.001

Vancouver

Mortenson E. Threefield identities and simultaneous representations of primes by binary quadratic forms. Journal of Number Theory. 2013 Нояб. 1;133(11):3902-3920. https://doi.org/10.1016/j.jnt.2013.05.001

Author

Mortenson, Eric. / Threefield identities and simultaneous representations of primes by binary quadratic forms. в: Journal of Number Theory. 2013 ; Том 133, № 11. стр. 3902-3920.

BibTeX

@article{3cbfd9753b344f068e9dd01d01df373b,
title = "Threefield identities and simultaneous representations of primes by binary quadratic forms",
abstract = "Kaplansky [2003] proved a theorem on the simultaneous representation of a prime p by two different principal binary quadratic forms. Later, Brink found five more like theorems and claimed that there were no others. By putting Kaplansky-like theorems into the context of threefield identities after Andrews, Dyson, and Hickerson, we find that there are at least two similar results not on Brink's list. We also show how such theorems are related to results of Muskat on binary quadratic forms. {\textcopyright} 2013 Elsevier Inc.",
keywords = "Hecke-type double sums, Quadratic forms, Theta functions",
author = "Eric Mortenson",
year = "2013",
month = nov,
day = "1",
doi = "10.1016/j.jnt.2013.05.001",
language = "English",
volume = "133",
pages = "3902--3920",
journal = "Journal of Number Theory",
issn = "0022-314X",
publisher = "Elsevier",
number = "11",

}

RIS

TY - JOUR

T1 - Threefield identities and simultaneous representations of primes by binary quadratic forms

AU - Mortenson, Eric

PY - 2013/11/1

Y1 - 2013/11/1

N2 - Kaplansky [2003] proved a theorem on the simultaneous representation of a prime p by two different principal binary quadratic forms. Later, Brink found five more like theorems and claimed that there were no others. By putting Kaplansky-like theorems into the context of threefield identities after Andrews, Dyson, and Hickerson, we find that there are at least two similar results not on Brink's list. We also show how such theorems are related to results of Muskat on binary quadratic forms. © 2013 Elsevier Inc.

AB - Kaplansky [2003] proved a theorem on the simultaneous representation of a prime p by two different principal binary quadratic forms. Later, Brink found five more like theorems and claimed that there were no others. By putting Kaplansky-like theorems into the context of threefield identities after Andrews, Dyson, and Hickerson, we find that there are at least two similar results not on Brink's list. We also show how such theorems are related to results of Muskat on binary quadratic forms. © 2013 Elsevier Inc.

KW - Hecke-type double sums

KW - Quadratic forms

KW - Theta functions

UR - http://www.scopus.com/inward/record.url?scp=84880616954&partnerID=8YFLogxK

U2 - 10.1016/j.jnt.2013.05.001

DO - 10.1016/j.jnt.2013.05.001

M3 - Article

AN - SCOPUS:84880616954

VL - 133

SP - 3902

EP - 3920

JO - Journal of Number Theory

JF - Journal of Number Theory

SN - 0022-314X

IS - 11

ER -

ID: 126317712