Modular forms arising from divisor functions

Bumkyu Cho; Daeyeoul Kim; Ja Kyung Koo

doi:10.1016/j.jmaa.2009.03.003

Modular forms arising from divisor functions

Bumkyu Cho
, Daeyeoul Kim
, Ja Kyung Koo

Department of Mathematics

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

7 Scopus citations

Abstract

For an infinite family of modular forms constructed from Klein forms we provide certain explicit formulas for their Fourier coefficients by using the theory of basic hypergeometric series (Theorem 2). By making use of these modular forms we investigate the bases of the vector spaces of modular forms of some levels (Theorem 5) and find its application.

Original language	English
Pages (from-to)	537-547
Number of pages	11
Journal	Journal of Mathematical Analysis and Applications
Volume	356
Issue number	2
DOIs	https://doi.org/10.1016/j.jmaa.2009.03.003
State	Published - 15 Aug 2009

Keywords

Basic hypergeometric series
Klein forms
Modular forms

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10.1016/j.jmaa.2009.03.003

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title = "Modular forms arising from divisor functions",

abstract = "For an infinite family of modular forms constructed from Klein forms we provide certain explicit formulas for their Fourier coefficients by using the theory of basic hypergeometric series (Theorem 2). By making use of these modular forms we investigate the bases of the vector spaces of modular forms of some levels (Theorem 5) and find its application.",

keywords = "Basic hypergeometric series, Klein forms, Modular forms",

author = "Bumkyu Cho and Daeyeoul Kim and Koo, \{Ja Kyung\}",

year = "2009",

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TY - JOUR

T1 - Modular forms arising from divisor functions

AU - Cho, Bumkyu

AU - Kim, Daeyeoul

AU - Koo, Ja Kyung

PY - 2009/8/15

Y1 - 2009/8/15

N2 - For an infinite family of modular forms constructed from Klein forms we provide certain explicit formulas for their Fourier coefficients by using the theory of basic hypergeometric series (Theorem 2). By making use of these modular forms we investigate the bases of the vector spaces of modular forms of some levels (Theorem 5) and find its application.

AB - For an infinite family of modular forms constructed from Klein forms we provide certain explicit formulas for their Fourier coefficients by using the theory of basic hypergeometric series (Theorem 2). By making use of these modular forms we investigate the bases of the vector spaces of modular forms of some levels (Theorem 5) and find its application.

KW - Basic hypergeometric series

KW - Klein forms

KW - Modular forms

UR - https://www.scopus.com/pages/publications/64449086696

U2 - 10.1016/j.jmaa.2009.03.003

DO - 10.1016/j.jmaa.2009.03.003

M3 - Article

AN - SCOPUS:64449086696

SN - 0022-247X

VL - 356

SP - 537

EP - 547

JO - Journal of Mathematical Analysis and Applications

JF - Journal of Mathematical Analysis and Applications

IS - 2

ER -

Modular forms arising from divisor functions

Abstract

Keywords

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