Number of proportions of Hecke eigenvalues in two newforms

Dohoon Choi; Youngmin Lee

doi:10.1016/j.jnt.2023.01.016

Number of proportions of Hecke eigenvalues in two newforms

Dohoon Choi
, Youngmin Lee^*

^*Corresponding author for this work

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

3 Citations (Scopus)

Abstract

Let f₁ and f₂ be nonzero Hecke eigenforms on SL₂(Z). For X>0, let B(f₁,f₂,X) be the number of ratios of λ₁(p) to λ₂(p) for primes p≤X, where λ_i(p) denotes the Hecke eigenvalue of f_i at p.

Original language	English
Pages (from-to)	1-20
Number of pages	20
Journal	Journal of Number Theory
Volume	249
DOIs	https://doi.org/10.1016/j.jnt.2023.01.016
Publication status	Published - 2023 Aug

Bibliographical note

Funding Information:
The first author was supported by the National Research Foundation of Korea (NRF) grant funded by the Korea government (MSIT) ( NRF-2019R1A2C1007517 ). The second author was supported by a KIAS Individual Grant ( MG086301 ) at Korea Institute for Advanced Study.

Publisher Copyright:
© 2023 Elsevier Inc.

Keywords

Galois representations
Hecke eigenvalues

ASJC Scopus subject areas

Algebra and Number Theory

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10.1016/j.jnt.2023.01.016

Cite this

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title = "Number of proportions of Hecke eigenvalues in two newforms",

abstract = "Let f1 and f2 be nonzero Hecke eigenforms on SL2(Z). For X>0, let B(f1,f2,X) be the number of ratios of λ1(p) to λ2(p) for primes p≤X, where λi(p) denotes the Hecke eigenvalue of fi at p.",

keywords = "Galois representations, Hecke eigenvalues",

author = "Dohoon Choi and Youngmin Lee",

note = "Funding Information: The first author was supported by the National Research Foundation of Korea (NRF) grant funded by the Korea government (MSIT) ( NRF-2019R1A2C1007517 ). The second author was supported by a KIAS Individual Grant ( MG086301 ) at Korea Institute for Advanced Study. Publisher Copyright: {\textcopyright} 2023 Elsevier Inc.",

year = "2023",

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doi = "10.1016/j.jnt.2023.01.016",

language = "English",

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journal = "Journal of Number Theory",

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T1 - Number of proportions of Hecke eigenvalues in two newforms

AU - Choi, Dohoon

AU - Lee, Youngmin

N1 - Funding Information: The first author was supported by the National Research Foundation of Korea (NRF) grant funded by the Korea government (MSIT) ( NRF-2019R1A2C1007517 ). The second author was supported by a KIAS Individual Grant ( MG086301 ) at Korea Institute for Advanced Study. Publisher Copyright: © 2023 Elsevier Inc.

PY - 2023/8

Y1 - 2023/8

N2 - Let f1 and f2 be nonzero Hecke eigenforms on SL2(Z). For X>0, let B(f1,f2,X) be the number of ratios of λ1(p) to λ2(p) for primes p≤X, where λi(p) denotes the Hecke eigenvalue of fi at p.

AB - Let f1 and f2 be nonzero Hecke eigenforms on SL2(Z). For X>0, let B(f1,f2,X) be the number of ratios of λ1(p) to λ2(p) for primes p≤X, where λi(p) denotes the Hecke eigenvalue of fi at p.

KW - Galois representations

KW - Hecke eigenvalues

UR - https://www.scopus.com/pages/publications/85150764933

U2 - 10.1016/j.jnt.2023.01.016

DO - 10.1016/j.jnt.2023.01.016

M3 - Article

AN - SCOPUS:85150764933

SN - 0022-314X

VL - 249

SP - 1

EP - 20

JO - Journal of Number Theory

JF - Journal of Number Theory

ER -

Number of proportions of Hecke eigenvalues in two newforms

Abstract

Bibliographical note

Keywords

ASJC Scopus subject areas

Access to Document

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