Bivariate asymptotics for eta-theta quotients with simple poles

Giulia Cesana; Joshua Males

doi:10.48550/arXiv.2101.10046

Bivariate asymptotics for eta-theta quotients with simple poles

Giulia Cesana^*, Joshua Males

^*Corresponding author for this work

School of Mathematics

Research output: Contribution to journal › Article (Academic Journal) › peer-review

Abstract

We employ a variant of Wright’s Circle Method to determine the bivariate asymptotic behavior of Fourier coefficients for a wide class of eta-theta quotients with simple poles in H.

Original language	English
Pages (from-to)	47-67
Number of pages	21
Journal	Ramanujan Journal
Volume	62
Early online date	19 Jun 2023
DOIs	https://doi.org/10.48550/arXiv.2101.10046 https://doi.org/10.1007/s11139-023-00746-w
Publication status	Published - 1 Sept 2023

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© 2023, The Author(s).

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title = "Bivariate asymptotics for eta-theta quotients with simple poles",

abstract = "We employ a variant of Wright{\textquoteright}s Circle Method to determine the bivariate asymptotic behavior of Fourier coefficients for a wide class of eta-theta quotients with simple poles in H.",

author = "Giulia Cesana and Joshua Males",

note = "Publisher Copyright: {\textcopyright} 2023, The Author(s).",

year = "2023",

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doi = "10.48550/arXiv.2101.10046",

language = "English",

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AU - Cesana, Giulia

AU - Males, Joshua

PY - 2023/9/1

Y1 - 2023/9/1

N2 - We employ a variant of Wright’s Circle Method to determine the bivariate asymptotic behavior of Fourier coefficients for a wide class of eta-theta quotients with simple poles in H.

AB - We employ a variant of Wright’s Circle Method to determine the bivariate asymptotic behavior of Fourier coefficients for a wide class of eta-theta quotients with simple poles in H.

U2 - 10.48550/arXiv.2101.10046

DO - 10.48550/arXiv.2101.10046

M3 - Article (Academic Journal)

SN - 1382-4090

VL - 62

SP - 47

EP - 67

JO - Ramanujan Journal

JF - Ramanujan Journal

ER -

Bivariate asymptotics for eta-theta quotients with simple poles

Abstract

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