Non-linear additive twists of GL(2)×GL(2) cusp-form coefficients over primes

Let f and g be holomorphic or Maass cusp forms for [Formula: see text] with normalized Fourier coefficients [Formula: see text] and [Formula: see text], respectively. In this paper, we study the non-linear additive twisted sum of [Formula: see text] forms [Formula: see text] where [Formula: see text]. Previously, [Formula: see text] and [Formula: see text] cases have been investigated extensively.

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Publication Details

Journal
International Journal of Number Theory
Published
2025-06-21
DOI
https://doi.org/10.1142/s1793042125501076
Primary Topic
Analytic Number Theory Research
Type
article
Field-Weighted Citation Impact
0.00

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article

Non-linear additive twists of GL(2)×GL(2) cusp-form coefficients over primes

Shu Luo, Guangshi Lü
International Journal of Number Theory
Analytic Number Theory Research
article

Non-linear additive twists of GL(2)×GL(2) cusp-form coefficients over primes

Shu Luo, Guangshi Lü
article en

Abstract

Let f and g be holomorphic or Maass cusp forms for [Formula: see text] with normalized Fourier coefficients [Formula: see text] and [Formula: see text], respectively. In this paper, we study the non-linear additive twisted sum of [Formula: see text] forms [Formula: see text] where [Formula: see text]. Previously, [Formula: see text] and [Formula: see text] cases have been investigated extensively.

International Journal of Number TheoryVol. 21(09)
Shandong University (CN)
National Natural Science Foundation of China
Openalex Percentile: Top 80%
Analytic Number Theory Research
DOISourceOpenAlex
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Non-linear additive twists of GL(2)×GL(2) cusp-form coefficients over primes — Shu Luo, Guangshi Lü · International Journal of Number Theory (2025) | TGRS Research Map | TGRS