Concyclicity of the zeros of polynomials associated to derivatives of the L-functions of Eisenstein series

Jihyun Hwang; Yoonjin Lee

doi:10.1007/s11139-024-00910-w

Concyclicity of the zeros of polynomials associated to derivatives of the L-functions of Eisenstein series

Jihyun Hwang, Yoonjin Lee

Department of Mathematics

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

Abstract

In this paper, we study the zeros of polynomials obtained from the L-functions and their derivatives associated to non-cuspidal modular forms in Eisenstein spaces of prime levels as a generalization of work by Diamantis and Rolen.

Original language	English
Pages (from-to)	659-677
Number of pages	19
Journal	Ramanujan Journal
Volume	65
Issue number	2
DOIs	https://doi.org/10.1007/s11139-024-00910-w
State	Published - Oct 2024

Bibliographical note

Publisher Copyright:
© The Author(s), under exclusive licence to Springer Science+Business Media, LLC, part of Springer Nature 2024.

Keywords

11F67
Eisenstein series
L-functions
Modular forms
Period polynomials

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10.1007/s11139-024-00910-w

Cite this

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title = "Concyclicity of the zeros of polynomials associated to derivatives of the L-functions of Eisenstein series",

abstract = "In this paper, we study the zeros of polynomials obtained from the L-functions and their derivatives associated to non-cuspidal modular forms in Eisenstein spaces of prime levels as a generalization of work by Diamantis and Rolen.",

keywords = "11F67, Eisenstein series, L-functions, Modular forms, Period polynomials",

author = "Jihyun Hwang and Yoonjin Lee",

note = "Publisher Copyright: {\textcopyright} The Author(s), under exclusive licence to Springer Science+Business Media, LLC, part of Springer Nature 2024.",

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doi = "10.1007/s11139-024-00910-w",

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AU - Hwang, Jihyun

AU - Lee, Yoonjin

N1 - Publisher Copyright: © The Author(s), under exclusive licence to Springer Science+Business Media, LLC, part of Springer Nature 2024.

PY - 2024/10

Y1 - 2024/10

N2 - In this paper, we study the zeros of polynomials obtained from the L-functions and their derivatives associated to non-cuspidal modular forms in Eisenstein spaces of prime levels as a generalization of work by Diamantis and Rolen.

AB - In this paper, we study the zeros of polynomials obtained from the L-functions and their derivatives associated to non-cuspidal modular forms in Eisenstein spaces of prime levels as a generalization of work by Diamantis and Rolen.

KW - 11F67

KW - Eisenstein series

KW - L-functions

KW - Modular forms

KW - Period polynomials

UR - https://www.scopus.com/pages/publications/85200412443

U2 - 10.1007/s11139-024-00910-w

DO - 10.1007/s11139-024-00910-w

M3 - Article

AN - SCOPUS:85200412443

SN - 1382-4090

VL - 65

SP - 659

EP - 677

JO - Ramanujan Journal

JF - Ramanujan Journal

IS - 2

ER -

Concyclicity of the zeros of polynomials associated to derivatives of the L-functions of Eisenstein series

Abstract

Bibliographical note

Keywords

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Cite this