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Small values of the Euler function and the Riemann hypothesis

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Publication:2919690
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DOI10.4064/aa155-3-7zbMath1272.11109arXiv1202.0729OpenAlexW2113680225MaRDI QIDQ2919690

Jean Louis Nicolas

Publication date: 5 October 2012

Published in: Acta Arithmetica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1202.0729


zbMATH Keywords

Riemann hypothesisEuler's function


Mathematics Subject Classification ID

Asymptotic results on arithmetic functions (11N37) Nonreal zeros of (zeta (s)) and (L(s, chi)); Riemann and other hypotheses (11M26) Rate of growth of arithmetic functions (11N56)


Related Items (7)

The sum of divisors function and the Riemann hypothesis ⋮ New estimates for some integrals of functions defined over primes ⋮ Estimates of the \(k\)th prime under the Riemann hypothesis ⋮ Estimates of $\psi ,\theta $ for large values of $x$ without the Riemann hypothesis ⋮ Euler’s function on products of primes in a fixed arithmetic progression ⋮ Euler’s constant: Euler’s work and modern developments ⋮ AN ARITHMETIC EQUIVALENCE OF THE RIEMANN HYPOTHESIS




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