Uniform bound for Hecke \(L\)-functions
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Publication:2495349
DOI10.1007/BF02588051zbMath1098.11034arXivmath/0505399WikidataQ101169720 ScholiaQ101169720MaRDI QIDQ2495349
Yoichi Motohashi, Matti Jutila
Publication date: 6 July 2006
Published in: Acta Mathematica (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math/0505399
(zeta (s)) and (L(s, chi)) (11M06) Other Dirichlet series and zeta functions (11M41) Special values of automorphic (L)-series, periods of automorphic forms, cohomology, modular symbols (11F67) Langlands (L)-functions; one variable Dirichlet series and functional equations (11F66)
Related Items (49)
Weighted stationary phase of higher orders ⋮ Weyl-type hybrid subconvexity bounds for twisted \(L\)-functions and Heegner points on shrinking sets ⋮ Real zeros of holomorphic Hecke cusp forms and sieving short intervals ⋮ On certain exponential sums related to \(\text{GL}(3)\) cusp forms ⋮ A large sieve inequality of Elliott-Montgomery-Vaughan type for Maass forms with applications to Linnik's problem ⋮ Mean square estimate for relatively short exponential sums involving Fourier coefficients of cusp forms ⋮ Equidistribution in shrinking sets and \(L^4\)-norm bounds for automorphic forms ⋮ Nodal domains of Maass forms. I ⋮ An improved spectral large sieve inequality for ${\rm SL}_3(\mathbb {Z})$ ⋮ The quantum unique ergodicity conjecture for thin sets ⋮ The Weyl bound for triple product \(L\)-functions ⋮ Spectral large sieve inequalities for Hecke congruence subgroups of \(\mathrm{SL}(2,\mathbb{Z}[i)\)] ⋮ On the second moment of \(L\)-series of holomorphic cusp forms on the critical line ⋮ The subconvexity problem for \(\mathrm{GL}_2\) ⋮ On the spectral large sieve inequality for symmetric-squares ⋮ A modular analogue of a problem of Vinogradov ⋮ Real zeros of holomorphic Hecke cusp forms ⋮ MOMENTS AND HYBRID SUBCONVEXITY FOR SYMMETRIC-SQUARE L-FUNCTIONS ⋮ Wide moments of L-functions. I: Twists by class group characters of imaginary quadratic fields ⋮ The second moment of \(\text{GL}(3)\times\text{GL}(2)\) \(L\)-functions, integrated ⋮ On some estimates involving Fourier coefficients of Maass cusp forms ⋮ The fourth moment of Dirichlet \(L\)-functions along a coset and the Weyl bound ⋮ Improved subconvexity bounds for 𝐺𝐿(2)×𝐺𝐿(3) and 𝐺𝐿(3) 𝐿-functions by weighted stationary phase ⋮ On the shifted convolution problem in mean ⋮ Hybrid bounds for twisted L-functions ⋮ On the mean square of short exponential sums related to cusp forms ⋮ The spectral decomposition of shifted convolution sums ⋮ Hybrid sup-norm bounds for Hecke-Maass cusp forms ⋮ Density results for automorphic forms on Hilbert modular groups II ⋮ On the binary additive divisor problem in mean ⋮ On a hybrid bound for twisted \(L\)-values ⋮ On fourth and higher moments of short exponential sums related to cusp forms ⋮ Rankin-Selberg \(L\)-functions on the critical line ⋮ Global decomposition of \(\operatorname{GL}(3)\) Kloosterman sums and the spectral large sieve ⋮ Sums of the additive divisor problem type and the inner product method ⋮ Distribution of Maass of holomorphic cusp forms ⋮ Moments of \(L\)-functions and the Liouville-Green method ⋮ The Relative Trace Formula in Analytic Number Theory ⋮ The second moment of the central values of the symmetric square \(L\)-functions ⋮ Uniform Titchmarsh divisor problems ⋮ On the random wave conjecture for dihedral Maaß forms ⋮ Exponential sums related to Maass forms ⋮ Relative trace formulas and subconvexity estimates for $L$-functions of Hilbert modular forms ⋮ Divisor function for quaternion algebras and application to fourth moments of \(L\)-functions ⋮ ON THE ERROR TERM IN THE APPROXIMATE FUNCTIONAL EQUATION FOR EXPONENTIAL SUMS RELATED TO CUSP FORMS ⋮ Resonances and \(\Omega\)-results for exponential sums related to Maass forms for \(\mathrm{SL}(n, \mathbb{Z})\) ⋮ Gaps between zeros of \(\mathrm{GL}(2)\) \(L\)-functions ⋮ Asymptotic behaviors of means of central values of automorphic \(L\)-functions for \(\mathrm{GL}(2)\) ⋮ A local large sieve inequality for cusp forms
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