Hybrid bounds on twisted \(L\)-functions associated with modular forms

DOI10.1016/j.jnt.2018.02.002zbMath1434.11106arXiv1311.1826OpenAlexW2964136701WikidataQ130119501 ScholiaQ130119501MaRDI QIDQ1748149

Chan Ieong Kuan

Publication date: 2 May 2018

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1311.1826

zbMATH Keywords

automorphic formssubconvexityholomorphic cusp formsLindelöf hypothesishybrid bounds

Mathematics Subject Classification ID

Langlands (L)-functions; one variable Dirichlet series and functional equations (11F66)

Related Items (4)

Subconvexity for modular form \(L\)-functions in the \(t\) aspect ⋮ Subconvexity for twisted GL$_3$ $L$-functions ⋮ Multiple Dirichlet series and shifted convolutions ⋮ General asymptotic formula of Fourier coefficients of cusp forms over sum of two squares

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Multiple Dirichlet series and shifted convolutions
• Kloosterman sums and Fourier coefficients of cusp forms
• Bounds for automorphic \(L\)-functions
• A trace formula for the scalar product of Hecke series and its applications
• The circle method and bounds for \(L\)-functions. I
• Burgess-like subconvex bounds for \(\mathrm{GL}_{2}\times \mathrm{GL}_{1}\)
• Hybrid bounds for twisted L-functions
• Subconvexity bounds for automorphicL-functions
• The square mean of Dirichlet series associated with cusp forms
• Quantum unique ergodicity for \(\text{SL}_2 (\mathcal O)\backslash\mathbb{H}^3\) and estimates for \(L\)-functions

This page was built for publication: Hybrid bounds on twisted \(L\)-functions associated with modular forms