On Euler products with smaller than one exponents

DOI10.2478/ausm-2020-0013zbMath1453.11113OpenAlexW3073656596MaRDI QIDQ2219841

Gábor Román

Publication date: 21 January 2021

Published in: Acta Universitatis Sapientiae. Mathematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2478/ausm-2020-0013

zbMATH Keywords

logarithmic integralRiemann zeta functionprime number theoremRiemann hypothesisEuler productMertens' theoremAbel summation

Mathematics Subject Classification ID

(zeta (s)) and (L(s, chi)) (11M06)

Cites Work

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• Sharp power mean bounds for the Gaussian hypergeometric function
• The prime-counting function and its analytic approximations. \(\pi(x)\) and its approximations
• Some elegant approximations and asymptotic formulas of Ramanujan
• A note on the hypergeometric mean value
• On the Zeros of the Riemann Zeta Function in the Critical Strip
• Sharper Bounds for the Chebyshev Functions θ(x) and ψ(x). II
• Some Inequalities for Hypergeometric Functions

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