PreprintCC BY 4.0arXiv
Triple divisor type functions in arithmetic progressions to prime power moduli
Abstract
We study the equidistribution in arithmetic progressions modulo powers of a fixed odd prime of Hecke eigenvalues of noncuspidal GL3 automorphic forms, with a focus on the convolution coefficients λ1boxplus f(n)=(λf⋆ 1)(n),attached to a level $1$ holomorphic primitive cusp form f. Utilizing techniques introduced by Kowalski--Lin--Michel and Milićević, we prove the exponent ϑ=1/2+7/458−ε is admissible.
Related
- Hitting Arithmetic Progressions at the Square-Root Scale
- Average twin prime conjecture for elliptic curves in arithmetic progressions
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- Cyclicity of Drinfeld modules modulo primes in arithmetic progressions
- Arithmetic Progressions in Midpoint Colourings
BibTeX
@misc{wang2026triple,
title = {{Triple divisor type functions in arithmetic progressions to prime power moduli}},
author = {Hui wang and Tengyou Zhu},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2609.16700},
eprint = {2609.16700},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2609.16700},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - Triple divisor type functions in arithmetic progressions to prime power moduli
AU - Hui wang
AU - Tengyou Zhu
PY - 2026
DA - 2026/09/15
PB - arXiv
DO - 10.48550/arxiv.2609.16700
UR - https://arxiv.org/abs/2609.16700
AB - We study the equidistribution in arithmetic progressions modulo powers of a fixed odd prime of Hecke eigenvalues of noncuspidal GL_3 automorphic forms, with a focus on the convolution coefficients λ_1boxplus f(n)=(λ_f⋆ 1)(n),attached to a level $1$ holomorphic primitive cusp form f. Utilizing techniques introduced by Kowalski--Lin--Michel and Milićević, we prove the exponent ϑ=1/2+7/458−ε is admissible.
ER -