Large greatest common divisor sums and extreme values of the Riemann zeta function
From MaRDI portal
Publication:2362831
DOI10.1215/00127094-0000005XzbMath1394.11063arXiv1507.05840MaRDI QIDQ2362831
Kristian Seip, Andriy V. Bondarenko
Publication date: 14 July 2017
Published in: Duke Mathematical Journal (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1507.05840
Related Items (38)
Gál-type GCD sums beyond the critical line ⋮ Extreme values for iterated integrals of the logarithm of the Riemann zeta-function ⋮ Lower bounds for the maximum of the Riemann zeta function along vertical lines ⋮ On the extreme values of the Riemann zeta function on random intervals of the critical line ⋮ Extreme values of the Riemann zeta function and its argument ⋮ Maxima of log-correlated fields: some recent developments* ⋮ EXTREME VALUES OF THE RANKIN–SELBERG -FUNCTIONS ⋮ Large values of \(L\)-functions from the Selberg class ⋮ ADDITIVE ENERGY AND THE METRIC POISSONIAN PROPERTY ⋮ Joint extreme values of \(L\)-functions ⋮ Additive energy and the Hausdorff dimension of the exceptional set in metric pair correlation problems ⋮ Large values of \(\zeta (s)\) for \(1/2 < \operatorname{Re}(s) < 1\) ⋮ Extreme values of derivatives of the Riemann zeta function ⋮ EXTREME VALUES OF GEODESIC PERIODS ON ARITHMETIC HYPERBOLIC SURFACES ⋮ On higher dimensional Poissonian pair correlation ⋮ Some open questions in analysis for Dirichlet series ⋮ Spectral asymptotics for a family of LCM matrices ⋮ A dichotomy for extreme values of zeta and Dirichlet L$L$‐functions ⋮ On Titchmarsh's phenomenon in the theory of the Riemann zeta function ⋮ Large values of Dirichlet L-functions over function fields ⋮ Large oscillations of the argument of Rankin-Selberg \(L\)-functions ⋮ Extreme values of derivatives of zeta and L‐functions ⋮ Extreme values of Dirichlet polynomials with multiplicative coefficients ⋮ The distribution of values of zeta and \(L\)-functions ⋮ Note on the Resonance Method for the Riemann Zeta Function ⋮ Omega-theorems for the Riemann zeta function and its derivatives near the line $\operatorname{Re} s=1$ ⋮ Mini-workshop: Interplay between number theory and analysis for Dirichlet series. Abstracts from the mini-workshop held October 29 -- November 4, 2017 ⋮ On large values of L(σ,χ) ⋮ A pair correlation problem, and counting lattice points with the zeta function ⋮ Extreme values for \(S_n(\sigma,t)\) near the critical line ⋮ On some applications of GCD sums to arithmetic combinatorics ⋮ GCD sums and sum-product estimates ⋮ On large values of Hardy’s function $Z(t)$ and its derivatives ⋮ Large positive and negative values of Hardy’s 𝑍-function ⋮ Moments of the Riemann zeta function on short intervals of the critical line ⋮ Small Gál sums and applications ⋮ LARGE VALUES OF L-FUNCTIONS ON THE 1-LINE ⋮ Large values of Dirichlet L-functions at zeros of a class of L-functions
This page was built for publication: Large greatest common divisor sums and extreme values of the Riemann zeta function