Finite Euler products and the Riemann hypothesis

DOI10.1090/S0002-9947-2011-05546-7zbMath1300.11087arXiv0704.3448MaRDI QIDQ5389422

Steven M. Gonek

Publication date: 26 April 2012

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0704.3448

zbMATH Keywords

critical stripapproximation of Riemann zeta-functionshort truncations of Euler product

Mathematics Subject Classification ID

(zeta (s)) and (L(s, chi)) (11M06) Nonreal zeros of (zeta (s)) and (L(s, chi)); Riemann and other hypotheses (11M26)

Related Items (12)

``Quasi-norm of an arithmetical convolution operator and the order of the Riemann zeta function ⋮ A class of approximations to the Riemann zeta function ⋮ Some Riemann Hypotheses from random walks over primes ⋮ A few factors from the Euler product are sufficient for calculating the zeta function with high precision ⋮ New results on the value distribution of the Riemann zeta-function on the critical line ⋮ The distribution of zeros of \(\zeta^{'}(s)\) and gaps between zeros of \(\zeta(s)\) ⋮ Upper bounds for fractional joint moments of the Riemann zeta function ⋮ Riemann-type functional equations: Dirichlet polynomial approximations and a weak Gram law ⋮ TRUNCATED PRODUCT REPRESENTATIONS FOR ‐FUNCTIONS IN THE HYPERELLIPTIC ENSEMBLE ⋮ Generalized Riemann hypothesis and stochastic time series ⋮ Generalized Riemann hypothesis, time series and normal distributions ⋮ A note on finite Euler product approximations of the Riemann zeta-function

Cites Work

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• Mean values of the Riemann zeta-function and its derivatives
• A hybrid Euler-Hadamard product for the Riemann zeta function
• Spectral statistics
• On the distribution of zeros of linear combinations of Euler products
• Mean and large values of Dirichlet polynomials
• Random matrix theory and the derivative of the Riemann zeta function
• On the zeros of certain Epstein zeta functions
• Hilbert's Inequality
• A note on S(t ) and the zeros of the Riemann zeta-function
• Gutzwiller's Trace Formula and Spectral Statistics: Beyond the Diagonal Approximation
• The maximum size of L-functions
• SOME FOURIER TRANSFORMS IN PRIME-NUMBER THEORY
• A Summation Formula in the Theory of Prime Numbers
• Random matrix theory and \(\zeta(1/2+it)\).

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