Weight aspect exponential sums for Fourier coefficients of cusp forms

DOI10.1007/s00605-022-01750-wOpenAlexW4291009305WikidataQ115606397 ScholiaQ115606397MaRDI QIDQ2084343

Fei Hou

Publication date: 18 October 2022

Published in: Monatshefte für Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00605-022-01750-w

zbMATH Keywords

exponential sumsFourier coefficientsholomorphic cusp formsexplicit dependence

Mathematics Subject Classification ID

Estimates on exponential sums (11L07) Fourier coefficients of automorphic forms (11F30) Holomorphic modular forms of integral weight (11F11)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Hybrid subconvexity bounds for \(L \left( \frac{1}{2}, \mathrm{Sym}^2 f \otimes g\right) \)
• Additive twists of Fourier coefficients of symmetric-square lifts
• Resonance between automorphic forms and exponential functions
• On exponential sums involving Fourier coefficients of cusp forms
• Oscillations of Fourier coefficients of cusp forms over primes
• The subconvexity problem for Rankin-Selberg \(L\)-functions and equidistribution of Heegner points. II
• On exponential sums involving the Ramanujan function
• Lectures on a method in the theory of exponential sums
• Additive twists of Fourier coefficients of modular forms
• Rankin-Selberg \(L\)-functions in the level aspect.
• On the sup-norm of Maass cusp forms of large level. III
• Standard zero-free regions for Rankin-Selberg \(L\)-functions via sieve theory
• ON EXPONENTIAL SUMS INVOLVING COEFFICIENTS OFL-FUNCTIONS FOR SL(3, ℤ) OVER PRIMES
• On exponential sums involving the Fourier coefficients of Maass wave forms.
• On Cusp form Coefficients in Exponential Sums
• ON THE EXPONENTIAL SUM WITH SQUARE-FREE NUMBERS
• A Burgess-like subconvex bound for twisted L-functions
• Additive twists of Fourier coefficients of 𝐺𝐿(3) Maass forms
• Cancellation in additively twisted sums on GL(n)
• Automorphic Forms and L-Functions for the GroupGL(n, R)
• Bounds for certain exponential sums

This page was built for publication: Weight aspect exponential sums for Fourier coefficients of cusp forms