Exponential sums and the Riemann zeta function v
From MaRDI portal
Publication:4657734
DOI10.1112/S0024611504014959zbMath1083.11052OpenAlexW1995956091WikidataQ56486374 ScholiaQ56486374MaRDI QIDQ4657734
Publication date: 14 March 2005
Published in: Proceedings of the London Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1112/s0024611504014959
Estimates on exponential sums (11L07) (zeta (s)) and (L(s, chi)) (11M06) Lattice points in specified regions (11P21) Small fractional parts of polynomials and generalizations (11J54)
Related Items (50)
An explicit van der Corput estimate for \(\zeta(1/2+it)\) ⋮ Square integrals of the logarithmic derivatives of Selberg’s zeta functions in the critical strip ⋮ Tong-type identity and the mean square of the error term for an extended Selberg class ⋮ A weighted divisor problem ⋮ ON THE RANKIN–SELBERG ZETA FUNCTION ⋮ On complex zeros off the critical line for non-monomial polynomial of zeta-functions ⋮ The Mean Values of the Riemann Zeta-Function on the Critical Line ⋮ Power moments and value distribution of functions ⋮ New results on the value distribution of the Riemann zeta-function on the critical line ⋮ Unnamed Item ⋮ On the asymptotic formulae for some multiplicative functions in short intervals ⋮ Refined Estimates for Exponential Sums and a Problem Concerning the Product of Three L-Series ⋮ Residue classes containing an unexpected number of primes ⋮ Mean value estimates related to the Lindelöf hypothesis ⋮ Decoupling inequalities and some mean-value theorems ⋮ Voronoi-type identity for a class of arithmetical functions via the Laplace transform ⋮ Selberg's zeta function for the modular group in the critical strip ⋮ Subconvexity for half integral weight \(L\)-functions ⋮ On a question of A. Schinzel: Omega estimates for a special type of arithmetic functions ⋮ Recent progress on the Dirichlet divisor problem and the mean square of the Riemann zeta-function ⋮ On certain arithmetic functions involving the greatest common divisor ⋮ Mean square values of Dirichlet \(L\)-functions associated to fixed order characters ⋮ Some applications of the double large sieve ⋮ Dirichlet series, asymptotics, and statistics based on functoriality from GL(2) ⋮ An improved explicit bound on \(| \zeta(\frac{1}{2} + i t) |\) ⋮ An improved upper bound for the argument of the Riemann zeta-function on the critical line ⋮ Exponential and infinitary divisors ⋮ The sphere problem and the \(L\)-functions ⋮ Higher order derivative tests for exponential sums incorporating the discrete Hardy-Littlewood method ⋮ Some Diophantine equations and inequalities with primes ⋮ Mean square of double zeta-function ⋮ Multiples of squares in short intervals ⋮ On Ramanujan sums over the Gaussian integers ⋮ The average size of Ramanujan sums over quadratic number fields ⋮ Bounds of double zeta-functions and their applications ⋮ Exponential sums related to Maass forms ⋮ On large values of Hardy’s function $Z(t)$ and its derivatives ⋮ On the Lindelöf hypothesis ⋮ Improvements to Turing’s method ⋮ Decoupling, exponential sums and the Riemann zeta function ⋮ Linear programming over exponent pairs ⋮ Height zeta functions ⋮ Zero-free regions for Dirichlet series ⋮ On Wigert's type divisor problem ⋮ Euler’s constant: Euler’s work and modern developments ⋮ Growth of the Lerch zeta-function ⋮ Hybrid moments of the Riemann zeta-function ⋮ Mean values of some multiplicative functions ⋮ Bounds for the Tornheim double zeta function ⋮ A diophantine equation involving special prime numbers
This page was built for publication: Exponential sums and the Riemann zeta function v
