On spectral large sieve inequalities

zbMath1007.11027MaRDI QIDQ5933528

Matti Jutila

Publication date: 9 March 2003

Published in: Functiones et Approximatio. Commentarii Mathematici (Search for Journal in Brave)

zbMATH Keywords

Riemann zeta-functionspectral theoryKloosterman sumsKuznetsov trace formulaslarge sieveMaass wave form

Mathematics Subject Classification ID

Fourier coefficients of automorphic forms (11F30) Selberg zeta functions and regularized determinants; applications to spectral theory, Dirichlet series, Eisenstein series, etc. (explicit formulas) (11M36) Spectral theory; trace formulas (e.g., that of Selberg) (11F72)

Related Items (10)

Bounds on shifted convolution sums for Hecke eigenforms ⋮ The second moment of \(\mathrm{GL}(3) \times\mathrm{GL}(2)\) \(L\)-functions at special points ⋮ Spectral large sieve inequalities for Hecke congruence subgroups of \(\mathrm{SL}(2,\mathbb{Z}[i)\)] ⋮ On the spectral large sieve inequality for symmetric-squares ⋮ On the shifted convolution problem in mean ⋮ A mean value of a triple product of \(L\)-functions ⋮ On the binary additive divisor problem in mean ⋮ Uniform bound for Hecke \(L\)-functions ⋮ The additive divisor problem and its analogs for Fourier coefficients of cusp forms. I ⋮ A local large sieve inequality for cusp forms

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