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On Hecke-type double-sums and general string functions for the affine Lie algebra A_1^(1), / Mortenson, Eric T.

In: Ramanujan Journal, Vol. 63, No. 3, 27.05.2023, p. 553-582.

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

Harvard

Mortenson, ET 2023, 'On Hecke-type double-sums and general string functions for the affine Lie algebra A_1^(1),', Ramanujan Journal, vol. 63, no. 3, pp. 553-582. https://doi.org/10.1007/s11139-023-00737-x

APA

Mortenson, E. T. (2023). On Hecke-type double-sums and general string functions for the affine Lie algebra A_1^(1), Ramanujan Journal, 63(3), 553-582. https://doi.org/10.1007/s11139-023-00737-x

Vancouver

Mortenson ET. On Hecke-type double-sums and general string functions for the affine Lie algebra A_1^(1), Ramanujan Journal. 2023 May 27;63(3):553-582. https://doi.org/10.1007/s11139-023-00737-x

Author

Mortenson, Eric T. / On Hecke-type double-sums and general string functions for the affine Lie algebra A_1^(1),. In: Ramanujan Journal. 2023 ; Vol. 63, No. 3. pp. 553-582.

BibTeX

@article{30056ce18ce043a384e7557f817a06dc,
title = "On Hecke-type double-sums and general string functions for the affine Lie algebra A_1^(1),",
abstract = "We demonstrate how formulas that express Hecke-type double-sums in terms of theta functions and Appell–Lerch functions—the building blocks of Ramanujan{\textquoteright}s mock theta functions—can be used to give general string function formulas for the affine Lie algebra A1(1) for levels N=1,2,3,4.",
keywords = "11B65, 11F27, Affine Lie algebras, Appell functions, Hecke-type double-sums, String functions, Theta functions",
author = "Mortenson, {Eric T.}",
year = "2023",
month = may,
day = "27",
doi = "10.1007/s11139-023-00737-x",
language = "English",
volume = "63",
pages = "553--582",
journal = "Ramanujan Journal",
issn = "1382-4090",
publisher = "Springer Nature",
number = "3",

}

RIS

TY - JOUR

T1 - On Hecke-type double-sums and general string functions for the affine Lie algebra A_1^(1),

AU - Mortenson, Eric T.

PY - 2023/5/27

Y1 - 2023/5/27

N2 - We demonstrate how formulas that express Hecke-type double-sums in terms of theta functions and Appell–Lerch functions—the building blocks of Ramanujan’s mock theta functions—can be used to give general string function formulas for the affine Lie algebra A1(1) for levels N=1,2,3,4.

AB - We demonstrate how formulas that express Hecke-type double-sums in terms of theta functions and Appell–Lerch functions—the building blocks of Ramanujan’s mock theta functions—can be used to give general string function formulas for the affine Lie algebra A1(1) for levels N=1,2,3,4.

KW - 11B65

KW - 11F27

KW - Affine Lie algebras

KW - Appell functions

KW - Hecke-type double-sums

KW - String functions

KW - Theta functions

UR - https://www.mendeley.com/catalogue/5e1489ff-4c28-3948-8978-93f31617d6db/

U2 - 10.1007/s11139-023-00737-x

DO - 10.1007/s11139-023-00737-x

M3 - Article

VL - 63

SP - 553

EP - 582

JO - Ramanujan Journal

JF - Ramanujan Journal

SN - 1382-4090

IS - 3

ER -

ID: 126318607