Lower bounds for the maximum of the Riemann zeta function along vertical lines
From MaRDI portal
Publication:289854
DOI10.1007/s00208-015-1290-0zbMath1342.11071arXiv1409.6035OpenAlexW2162853714MaRDI QIDQ289854
Publication date: 31 May 2016
Published in: Mathematische Annalen (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1409.6035
(zeta (s)) and (L(s, chi)) (11M06) Multiplicative structure; Euclidean algorithm; greatest common divisors (11A05)
Related Items (23)
Gál-type GCD sums beyond the critical line ⋮ Extreme values of the Riemann zeta function and its argument ⋮ Large values of \(L\)-functions from the Selberg class ⋮ A NOTE ON LARGE VALUES OF ⋮ 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 ⋮ 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 ⋮ 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 ⋮ 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 ⋮ GCD sums and sum-product estimates ⋮ Large positive and negative values of Hardy’s 𝑍-function ⋮ LARGE VALUES OF L-FUNCTIONS ON THE 1-LINE
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Refinements of Gál's theorem and applications
- GCD sums from Poisson integrals and systems of dilated functions
- A Hilbert space of Dirichlet series and systems of dilated functions in \(L^ 2(0,1)\)
- Extreme values of zeta and \(L\)-functions
- Extreme values of the Riemann zeta function
- Large greatest common divisor sums and extreme values of the Riemann zeta function
- On the Distribution of Extreme Values of Zeta and L-Functions in the Strip 1/2 < < 1
- Bounding |ζ(½+it )| on the Riemann hypothesis
- A Remark on Stirling's Formula
- An arithmetical mapping and applications to Ω-results for the Riemann zeta function
- Computational estimation of the order of $\zeta (\frac {1}{2}+it)$
- GCD sums and complete sets of square-free numbers
- Convergence of series of dilated functions and spectral norms of GCD matrices
- The maximum size of L-functions
This page was built for publication: Lower bounds for the maximum of the Riemann zeta function along vertical lines
