Bounds on shifted convolution sums for Hecke eigenforms
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Publication:2138606
DOI10.1007/s40993-022-00320-1OpenAlexW3135084531WikidataQ114218049 ScholiaQ114218049MaRDI QIDQ2138606
Asbjørn Christian Nordentoft, Morten S. Risager, Yiannis N. Petridis
Publication date: 12 May 2022
Published in: Research in Number Theory (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2103.01248
Holomorphic modular forms of integral weight (11F11) Spectral theory; trace formulas (e.g., that of Selberg) (11F72)
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- Nonvanishing of Rankin-Selberg \(L\)-functions for Hilbert modular forms
- The spectral decomposition of shifted convolution sums
- Trilinear forms and the central values of triple product \(L\)-functions
- A sieve method for shifted convolution sums
- Cusp forms and eigenfunctions of the Laplacian
- On various means involving the Fourier coefficients of cusp forms
- Explicit estimates in the arithmetic theory of cusp forms and Poincaré sets
- Kloosterman sums and Fourier coefficients of cusp forms
- The circle problem in the hyperbolic plane
- Coefficients of Maass forms and the Siegel zero. Appendix: An effective zero-free region, by Dorian Goldfeld, Jeffrey Hoffstein and Daniel Lieman
- La conjecture de Weil. I
- High moments of the Riemann zeta-function
- Central values of additive twists of cuspidal \(L\)-functions
- A new bound K2/3+ for Rankin-Selberg L-functions for Hecke congruence subgroups
- An Additive Divisor Problem
- The square mean of Dirichlet series associated with cusp forms
- The Mean Square of the Error Term for the Fourth Power Moment of the Zeta-Function
- The binary additive divisor problem
- Quantum variance for Hecke eigenforms☆
- Functoriality for the exterior square of 𝐺𝐿₄ and the symmetric fourth of 𝐺𝐿₂
- ON SOME ESTIMATES INVOLVING THE BINARY ADDITIVE DIVISOR PROBLEM
- On spectral large sieve inequalities
- Estimates for Rankin-Selberg \(L\)-functions and quantum unique ergodicity
- The additive divisor problem and its analogs for Fourier coefficients of cusp forms. I
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