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Ramanujan's 1ψ1 summation, Hecke-type double sums, and Appell-Lerch sums. / Mortenson, Eric.

In: Ramanujan Journal, Vol. 29, No. 1-3, 01.12.2012, p. 121-133.

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

Harvard

Mortenson, E 2012, 'Ramanujan's 1ψ1 summation, Hecke-type double sums, and Appell-Lerch sums', Ramanujan Journal, vol. 29, no. 1-3, pp. 121-133. https://doi.org/10.1007/s11139-012-9379-5

APA

Mortenson, E. (2012). Ramanujan's 1ψ1 summation, Hecke-type double sums, and Appell-Lerch sums. Ramanujan Journal, 29(1-3), 121-133. https://doi.org/10.1007/s11139-012-9379-5

Vancouver

Mortenson E. Ramanujan's 1ψ1 summation, Hecke-type double sums, and Appell-Lerch sums. Ramanujan Journal. 2012 Dec 1;29(1-3):121-133. https://doi.org/10.1007/s11139-012-9379-5

Author

Mortenson, Eric. / Ramanujan's 1ψ1 summation, Hecke-type double sums, and Appell-Lerch sums. In: Ramanujan Journal. 2012 ; Vol. 29, No. 1-3. pp. 121-133.

BibTeX

@article{8c274886f8954e0c9cf72ab46f3e8f83,
title = "Ramanujan's 1ψ1 summation, Hecke-type double sums, and Appell-Lerch sums",
abstract = "We use a specialization of Ramanujan's 1ψ1 summation to give a new proof of a recent formula of Hickerson and Mortenson which expands a special family of Hecke-type double sums in terms of Appell-Lerch sums and theta functions. {\textcopyright} 2012 Springer Science+Business Media, LLC.",
keywords = "Appell-Lerch sums, Hecke-type double sums, Indefinite theta series, Mock theta functions",
author = "Eric Mortenson",
year = "2012",
month = dec,
day = "1",
doi = "10.1007/s11139-012-9379-5",
language = "English",
volume = "29",
pages = "121--133",
journal = "Ramanujan Journal",
issn = "1382-4090",
publisher = "Springer Nature",
number = "1-3",

}

RIS

TY - JOUR

T1 - Ramanujan's 1ψ1 summation, Hecke-type double sums, and Appell-Lerch sums

AU - Mortenson, Eric

PY - 2012/12/1

Y1 - 2012/12/1

N2 - We use a specialization of Ramanujan's 1ψ1 summation to give a new proof of a recent formula of Hickerson and Mortenson which expands a special family of Hecke-type double sums in terms of Appell-Lerch sums and theta functions. © 2012 Springer Science+Business Media, LLC.

AB - We use a specialization of Ramanujan's 1ψ1 summation to give a new proof of a recent formula of Hickerson and Mortenson which expands a special family of Hecke-type double sums in terms of Appell-Lerch sums and theta functions. © 2012 Springer Science+Business Media, LLC.

KW - Appell-Lerch sums

KW - Hecke-type double sums

KW - Indefinite theta series

KW - Mock theta functions

UR - http://www.scopus.com/inward/record.url?scp=84869108017&partnerID=8YFLogxK

U2 - 10.1007/s11139-012-9379-5

DO - 10.1007/s11139-012-9379-5

M3 - Article

AN - SCOPUS:84869108017

VL - 29

SP - 121

EP - 133

JO - Ramanujan Journal

JF - Ramanujan Journal

SN - 1382-4090

IS - 1-3

ER -

ID: 126317653