An explicit hybrid estimate for $L(1/2+it,\chi )$

DOI10.4064/aa8433-7-2016zbMath1401.11121arXiv1510.00950OpenAlexW2962780074MaRDI QIDQ2833615

Ghaith Ayesh Hiary

Publication date: 18 November 2016

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

Full work available at URL: https://arxiv.org/abs/1510.00950

zbMATH Keywords

exponential sumsDirichlet \(L\)-functionsexplicit estimatesWeyl methodvan der Corput methodhybrid estimatespowerful modulus

Mathematics Subject Classification ID

(zeta (s)) and (L(s, chi)) (11M06) Estimates on character sums (11L40)

Related Items (2)

Estimates for \(L\)-functions in the critical strip under GRH with effective applications ⋮ Sums with the Möbius function twisted by characters with powerful moduli

Cites Work

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• Computing Dirichlet character sums to a power-full modulus
• On the Phragmén-Lindelöf theorem and some applications
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• Explicit estimates for the Riemann zeta function
• Explicit approximate functional equations for various classes of Dirichlet series
• An alternative to Riemann-Siegel type formulas
• HYBRID BOUNDS FOR DIRICHLET L-FUNCTIONS II
• On prime numbers in an arithmetic progression with a prime-power difference

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