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A double-sum Kronecker-type identity. / Mortenson, Eric T.

в: Advances in Applied Mathematics, Том 82, 01.01.2017, стр. 155-177.

Результаты исследований: Научные публикации в периодических изданияхстатьяРецензирование

Harvard

Mortenson, ET 2017, 'A double-sum Kronecker-type identity', Advances in Applied Mathematics, Том. 82, стр. 155-177. https://doi.org/10.1016/j.aam.2016.08.006

APA

Vancouver

Mortenson ET. A double-sum Kronecker-type identity. Advances in Applied Mathematics. 2017 Янв. 1;82:155-177. https://doi.org/10.1016/j.aam.2016.08.006

Author

Mortenson, Eric T. / A double-sum Kronecker-type identity. в: Advances in Applied Mathematics. 2017 ; Том 82. стр. 155-177.

BibTeX

@article{4111f641263f49e5a27352730ec6c8a9,
title = "A double-sum Kronecker-type identity",
abstract = "We prove a double-sum analog of an identity known to Kronecker and then express it in terms of functions studied by Appell and Kronecker's student Lerch, in so doing we show that the double-sum analog is of mixed mock modular form. We also give related symmetric generalizations.",
keywords = "Appell–Lerch functions, Hecke-type triple-sums, q-Series",
author = "Mortenson, {Eric T.}",
year = "2017",
month = jan,
day = "1",
doi = "10.1016/j.aam.2016.08.006",
language = "English",
volume = "82",
pages = "155--177",
journal = "Advances in Applied Mathematics",
issn = "0196-8858",
publisher = "Elsevier",

}

RIS

TY - JOUR

T1 - A double-sum Kronecker-type identity

AU - Mortenson, Eric T.

PY - 2017/1/1

Y1 - 2017/1/1

N2 - We prove a double-sum analog of an identity known to Kronecker and then express it in terms of functions studied by Appell and Kronecker's student Lerch, in so doing we show that the double-sum analog is of mixed mock modular form. We also give related symmetric generalizations.

AB - We prove a double-sum analog of an identity known to Kronecker and then express it in terms of functions studied by Appell and Kronecker's student Lerch, in so doing we show that the double-sum analog is of mixed mock modular form. We also give related symmetric generalizations.

KW - Appell–Lerch functions

KW - Hecke-type triple-sums

KW - q-Series

UR - http://www.scopus.com/inward/record.url?scp=84986888442&partnerID=8YFLogxK

U2 - 10.1016/j.aam.2016.08.006

DO - 10.1016/j.aam.2016.08.006

M3 - Article

AN - SCOPUS:84986888442

VL - 82

SP - 155

EP - 177

JO - Advances in Applied Mathematics

JF - Advances in Applied Mathematics

SN - 0196-8858

ER -

ID: 126316600