Evaluating theta derivatives with rational characteristics

Shaul Zemel

doi:https://doi.org/10.1007/s11139-018-0099-3

Evaluating theta derivatives with rational characteristics

Shaul Zemel

Einstein Institute of Mathematics

The Hebrew University of Jerusalem

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

Abstract

We evaluate 35 different theta derivatives with rational characteristics using the method of Matsuda, in which the logarithmic derivatives at z= 0 of the triple product expansions of the associated theta functions become linear combinations of known theta series of weight 1.

Original language	English
Pages (from-to)	367-391
Number of pages	25
Journal	Ramanujan Journal
Volume	50
Issue number	2
DOIs	https://doi.org/10.1007/s11139-018-0099-3
State	Published - 1 Nov 2019

Keywords

Eta quotients
Theta derivatives
Theta functions

All Science Journal Classification (ASJC) codes

Algebra and Number Theory

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https://doi.org/10.1007/s11139-018-0099-3

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title = "Evaluating theta derivatives with rational characteristics",

abstract = "We evaluate 35 different theta derivatives with rational characteristics using the method of Matsuda, in which the logarithmic derivatives at z= 0 of the triple product expansions of the associated theta functions become linear combinations of known theta series of weight 1.",

keywords = "Eta quotients, Theta derivatives, Theta functions",

author = "Shaul Zemel",

note = "Publisher Copyright: {\textcopyright} 2019, Springer Science+Business Media, LLC, part of Springer Nature.",

year = "2019",

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doi = "https://doi.org/10.1007/s11139-018-0099-3",

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AU - Zemel, Shaul

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AB - We evaluate 35 different theta derivatives with rational characteristics using the method of Matsuda, in which the logarithmic derivatives at z= 0 of the triple product expansions of the associated theta functions become linear combinations of known theta series of weight 1.

KW - Eta quotients

KW - Theta derivatives

KW - Theta functions

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U2 - https://doi.org/10.1007/s11139-018-0099-3

DO - https://doi.org/10.1007/s11139-018-0099-3

M3 - مقالة

SN - 1382-4090

VL - 50

SP - 367

EP - 391

JO - Ramanujan Journal

JF - Ramanujan Journal

IS - 2

ER -

Evaluating theta derivatives with rational characteristics

Abstract

Keywords

All Science Journal Classification (ASJC) codes

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