A twisted additive divisor problem

Asymptotic results on arithmetic functions (11N37) Special values of automorphic (L)-series, periods of automorphic forms, cohomology, modular symbols (11F67) Fourier coefficients of automorphic forms (11F30) Langlands (L)-functions; one variable Dirichlet series and functional equations (11F66) Holomorphic modular forms of integral weight (11F11) Spectral theory; trace formulas (e.g., that of Selberg) (11F72)

Cites Work

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Fourier coefficients of Eisenstein series formed with modular symbols and their spectral decomposition
The fourth moment of Dirichlet \(L\)-functions
On the asymptotic behaviour of the ideal counting function in quadratic number fields
The quantum unique ergodicity conjecture for thin sets
Multiple Dirichlet series and shifted convolutions
The spectral decomposition of shifted convolution sums
On convolutions of non-holomorphic Eisenstein series
On various means involving the Fourier coefficients of cusp forms
Coefficients of Maass forms and the Siegel zero. Appendix: An effective zero-free region, by Dorian Goldfeld, Jeffrey Hoffstein and Daniel Lieman
The subconvexity problem for Artin \(L\)-functions
An additive problem in the Fourier coefficients of cusp forms
Proofs of some formulae enunciated by Ramanujan.
The subconvexity problem for \(\mathrm{GL}_2\)
Explicit calculations with Eisenstein series
Modular symbols have a normal distribution
The subconvexity problem for Rankin-Selberg \(L\)-functions and equidistribution of Heegner points
First moments of Rankin-Selberg convolutions of automorphic forms on \(\mathrm{GL}(2)\)
Bounds on shifted convolution sums for Hecke eigenforms
Heegner points and Eisenstein series
Modular Parametrizations of Elliptic Curves
The binary additive divisor problem
Mean value estimates for exponential sums and L-functions: a spectral theoretic approach.
SECOND MOMENTS IN THE GENERALIZED GAUSS CIRCLE PROBLEM
Deducing Selberg trace formula via Rankin–Selberg method for 𝐺𝐿₂
Automorphic Forms and L-Functions for the GroupGL(n, R)
The additive divisor problem and its analogs for Fourier coefficients of cusp forms. I

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