Estimate of periods on Hirzebruch–Zagier cycles

Feng Su

doi:10.1016/j.jnt.2021.01.023

Estimate of periods on Hirzebruch–Zagier cycles

Feng Su

Department of Pure Mathematics

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

Abstract

We study the period integrals of Maass forms restricted to Hirzebruch–Zagier cycles of Hilbert surfaces. In particular, we shall prove an upper bound for such integrals with respect to Laplace eigenvalues of Maass forms. In a special case, this leads to an upper bound for certain special L-values.

Original language	English
Pages (from-to)	50-66
Number of pages	17
Journal	Journal of Number Theory
Volume	224
DOIs	https://doi.org/10.1016/j.jnt.2021.01.023
Publication status	Published - Jul 2021

Keywords

Hilbert surface
Hirzebruch-Zagier cycle
L-values
Maass forms
Period

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10.1016/j.jnt.2021.01.023

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title = "Estimate of periods on Hirzebruch–Zagier cycles",

abstract = "We study the period integrals of Maass forms restricted to Hirzebruch–Zagier cycles of Hilbert surfaces. In particular, we shall prove an upper bound for such integrals with respect to Laplace eigenvalues of Maass forms. In a special case, this leads to an upper bound for certain special L-values.",

keywords = "Hilbert surface, Hirzebruch-Zagier cycle, L-values, Maass forms, Period",

author = "Feng Su",

note = "Publisher Copyright: {\textcopyright} 2021 Elsevier Inc.",

year = "2021",

month = jul,

doi = "10.1016/j.jnt.2021.01.023",

language = "English",

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journal = "Journal of Number Theory",

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TY - JOUR

T1 - Estimate of periods on Hirzebruch–Zagier cycles

AU - Su, Feng

PY - 2021/7

Y1 - 2021/7

N2 - We study the period integrals of Maass forms restricted to Hirzebruch–Zagier cycles of Hilbert surfaces. In particular, we shall prove an upper bound for such integrals with respect to Laplace eigenvalues of Maass forms. In a special case, this leads to an upper bound for certain special L-values.

AB - We study the period integrals of Maass forms restricted to Hirzebruch–Zagier cycles of Hilbert surfaces. In particular, we shall prove an upper bound for such integrals with respect to Laplace eigenvalues of Maass forms. In a special case, this leads to an upper bound for certain special L-values.

KW - Hilbert surface

KW - Hirzebruch-Zagier cycle

KW - L-values

KW - Maass forms

KW - Period

UR - https://www.scopus.com/pages/publications/85101501571

U2 - 10.1016/j.jnt.2021.01.023

DO - 10.1016/j.jnt.2021.01.023

M3 - Article

AN - SCOPUS:85101501571

SN - 0022-314X

VL - 224

SP - 50

EP - 66

JO - Journal of Number Theory

JF - Journal of Number Theory

ER -

Estimate of periods on Hirzebruch–Zagier cycles

Abstract

Keywords

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