scientific article
From MaRDI portal
Publication:3749133
zbMath0609.10032MaRDI QIDQ3749133
Publication date: 1986
Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Riemann zeta-functionDirichlet seriesautomorphic formL-functionsdistribution theoremsautomorphic \(\ell \)-adic motive
Research exposition (monographs, survey articles) pertaining to number theory (11-02) Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture) (14G10) Special values of automorphic (L)-series, periods of automorphic forms, cohomology, modular symbols (11F67) Zeta functions and (L)-functions of number fields (11R42) Generalizations (algebraic spaces, stacks) (14A20) Zeta and (L)-functions: analytic theory (11Mxx)
Related Items
Gram's law for the zeta zeros and the eigenvalues of Gaussian unitary ensembles, Limit theorems for a product of the Hurwitz zeta functions, A remark on the Conrey-Ghosh theorem, Kloosterman sums and their applications: A review, Universality of Artin \(L\)-functions in conductor aspect, Some problems on mean values of the Riemann zeta-function, New results on the value distribution of the Riemann zeta-function on the critical line, Limit theorems for the Mellin transform of the fourth power of the Riemann zeta-function, On the moments of the Riemann zeta-function near the critical line, A penalised model reproducing the mod-Poisson fluctuations in the Sathé-Selberg theorem, On fluctuations of Riemann's zeta zeros, Upper bounds for discrete moments of the derivatives of the Riemann zeta-function on the critical line, An M-function associated with Goldbach's problem, On the density function for the value-distribution of automorphic \(L\)-functions, On zeta-functions associated to certain cusp forms. I, On the mod-Gaussian convergence of a sum over primes, On a conjecture of Shanks, Limit theorem in the space of continuous functions for the Dirichlet polynomial related with the Riemann zeta-function, On the zeros of sums of the Riemann zeta function, On the value distribution of \(L\)-functions of the Selberg class, Mesoscopic fluctuations of the zeta zeros, Limit theorems for the Estermann zeta-function. I, A joint discrete limit theorem in the space of meromorphic functions for general Dirichlet series, Discrepancy bounds for the distribution of the Riemann zeta-function and applications, The joint distribution of the Riemann zeta - function, A central limit theorem for the Birkhoff sum of the Riemann zeta-function over a Boolean type transformation, On Selberg's limit theorem for \(L\)-functions over a family of \(\mathrm{GL} (n)\) Hecke-Maass cusp forms, A general joint discrete universality theorem for Hurwitz zeta-functions