Modified truncated Perron formulae

DOI10.5802/AMBP.356zbMath1404.11115OpenAlexW2566578069MaRDI QIDQ291615

Olivier Ramaré

Publication date: 10 June 2016

Published in: Annales Mathématiques Blaise Pascal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.5802/ambp.356

zbMATH Keywords

Selberg sievelarge sieve inequality

Mathematics Subject Classification ID

Sieves (11N35)

Related Items (5)

Cancellation in algebraic twisted sums on \(\operatorname{GL}_m\) ⋮ On the error term in the explicit formula of Riemann–von Mangoldt ⋮ Sharper bounds for the Chebyshev function \(\psi(x)\) ⋮ Modular ternary additive problems with irregular or prime numbers ⋮ Primes between consecutive powers

Uses Software

• PARI/GP

Cites Work

• Perron's formula and the prime number theorem for automorphic \(L\)-functions
• Eigenvalues in the large sieve inequality
• An elementary proof of the prime number theorem with a remainder term
• On the Explicit Formula of Riemann-Von Mangoldt, II
• On a result of Littlewood concerning prime numbers
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