CONTINUOUS LOWER BOUNDS FOR MOMENTS OF ZETA ANDL‐FUNCTIONS

DOI10.1112/S0025579312001088zbMath1273.11128arXiv1202.1351OpenAlexW2169254136MaRDI QIDQ4911027

Maksym Radziwiłł, Kannan Soundararajan

Publication date: 13 March 2013

Published in: Mathematika (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1202.1351

zbMATH Keywords

Riemann zeta functionMoments of Zeta

Mathematics Subject Classification ID

(zeta (s)) and (L(s, chi)) (11M06) Relations with random matrices (11M50)

Related Items (27)

Hardy's function \(Z(t)\): results and problems ⋮ Moments of the Hurwitz zeta function on the critical line ⋮ Maxima of log-correlated fields: some recent developments* ⋮ Moments of the products of quadratic twists of automorphic \(L\)-functions ⋮ Higher integral moments of automorphic \(L\)-functions in short intervals ⋮ The Mean Values of the Riemann Zeta-Function on the Critical Line ⋮ On the moments of the moments of \((\zeta(1/2+it)\) ⋮ On the Riesz means of \frac nφ(n) – III ⋮ Lower bounds for moments of zeta and L$L$‐functions revisited ⋮ Moments of moments of primes in arithmetic progressions ⋮ Moments and distribution of central \(L\)-values of quadratic twists of elliptic curves ⋮ Rudnick and Soundararajan's theorem for function fields ⋮ EXPONENTIAL MOMENTS OF THE ARGUMENT OF THE RIEMANN ZETA FUNCTION ON THE CRITICAL LINE ⋮ Negative moments of the Riemann zeta-function ⋮ Evidence of Random Matrix Corrections for the Large Deviations of Selberg’s Central Limit Theorem ⋮ The distribution of values of zeta and \(L\)-functions ⋮ Continuous lower bounds for the moments of Dedekind zeta-functions ⋮ The Riemann zeta function and Gaussian multiplicative chaos: statistics on the critical line ⋮ Lower bound for the higher moment of symmetric square \(L\)-functions ⋮ On the Riesz means of \(\frac{n}{\varphi(n)}\). II ⋮ On the Riemann Zeta Function and Gaussian Multiplicative Chaos ⋮ An inequality of Hardy-Littlewood type for Dirichlet polynomials ⋮ Large Values of the Zeta-Function on the Critical Line ⋮ Moments of the Riemann zeta function on short intervals of the critical line ⋮ The second moment of quadratic Dirichlet \(L\)-functions ⋮ Hybrid moments of the Riemann zeta-function ⋮ Moments of quadratic Dirichlet \(L\)-functions over function fields

Cites Work

• Moments of the Riemann zeta function
• High moments of the Riemann zeta-function
• On mean values of the zeta‐function
• Fractional Moments of the Riemann Zeta-Function
• Mean‐values of the Riemann zeta‐function
• Lower bounds for moments of L -functions
• Random matrix theory and \(\zeta(1/2+it)\).

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