Lectures on mean values of the Riemann zeta function
From MaRDI portal
Publication:1202045
zbMath0758.11036MaRDI QIDQ1202045
Publication date: 23 January 1993
Published in: Lectures on Mathematics and Physics. Mathematics. Tata Institute of Fundamental Research (Search for Journal in Brave)
(zeta (s)) and (L(s, chi)) (11M06) Research exposition (monographs, survey articles) pertaining to number theory (11-02)
Related Items
Power moments of the Riemann zeta-function over short intervals ⋮ Hardy's function \(Z(t)\): results and problems ⋮ On a Cubic Moment of Hardy’s Function with a Shift ⋮ Moments of the products of quadratic twists of automorphic \(L\)-functions ⋮ The Mean Values of the Riemann Zeta-Function on the Critical Line ⋮ On the mean square of the Riemann zeta-function ⋮ Mean square of the remainder term in the Dirichlet divisor problem ⋮ On the mean square of the error term for the asymmetric two-dimensional divisor problem. I ⋮ A study of the mean value of the error term in the mean square formula of the Riemann zeta-function in the critical strip \(3/4\leq \sigma <1\) ⋮ Sums of squares in \(\mathbb{Z}[\sqrt k\)] ⋮ On a Hybrid Fourth Moment Involving the Riemann Zeta-Function ⋮ The binary additive divisor problem ⋮ The mean value of the zeta-function on \(\sigma =1\) ⋮ On some mean value results for the zeta-function and a divisor problem. II. ⋮ Recent progress on the Dirichlet divisor problem and the mean square of the Riemann zeta-function ⋮ Functional equation of Mordell–Tornheim multiple zeta function ⋮ An explicit formula of Atkinson type for the product of the Riemann zeta-function and a Dirichlet polynomial ⋮ On the seventh power moment of Δ(x) ⋮ Higher moments of the error term in the divisor problem ⋮ Riemann's zeta-function and the divisor problem. III ⋮ Mean square formula for the double zeta-function ⋮ Some remarks on the moments of \(| \zeta(1/2 + it)| \) in short intervals ⋮ Sums of the error term function in the mean square for \(\zeta (s)\) ⋮ Automorphic spectral identities and applications to automorphic \(L\)-functions on \(\mathrm{GL}_2\) ⋮ On the mean square of the error term for the asymmetric two-dimensional divisor problems. II ⋮ On the Riemann zeta-function and the divisor problem ⋮ On the Riemann zeta-function and the divisor problem. II ⋮ Some mean value results related to Hardy's function ⋮ The fourth moment of individual Dirichlet \(L\)-functions on the critical line ⋮ Combinatorial identities and Titchmarsh's divisor problem for multiplicative functions ⋮ Unnamed Item ⋮ On the general additive divisor problem ⋮ ON THE FIFTH-POWER MOMENT OF Δ(x) ⋮ On large values of Hardy’s function $Z(t)$ and its derivatives ⋮ Universality of the Riemann zeta-function in short intervals ⋮ On the divisor function and the Riemann zeta-function in short intervals ⋮ Unnamed Item ⋮ Mean values of long Dirichlet polynomials with higher divisor coefficients ⋮ An explicit formula for the fourth power mean of the Riemann zeta- function ⋮ Comments on the Riemann conjecture and index theory on Cantorian fractal space-time.