Upper Bounds for L(1, )

DOI10.1093/qjmath/53.3.265zbMath1022.11041arXivmath/0106176OpenAlexW2037359019MaRDI QIDQ4797006

Andrew Granville, Kannan Soundararajan

Publication date: 26 October 2003

Published in: The Quarterly Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0106176

zbMATH Keywords

multiplicative functionscomplex charactersDirichlet \(L\)-functionsimprovements over trivial bounds

Mathematics Subject Classification ID

Real zeros of (L(s, chi)); results on (L(1, chi)) (11M20) Estimates on character sums (11L40) Arithmetic functions in probabilistic number theory (11K65)

Related Items (14)

Conditional Bounds on Siegel Zeros ⋮ On continued fraction partial quotients of square roots of primes ⋮ Quadratic fields admitting elliptic curves with rational \(j\)-invariant and good reduction everywhere ⋮ Extreme values of derivatives of zeta and L‐functions ⋮ The distribution of values of zeta and \(L\)-functions ⋮ Large sums of high‐order characters ⋮ Explicit upper bounds for values at \(s=1\) of Dirichlet \(L\)-series associated with primitive even characters. ⋮ Heuristics and conjectures in the direction of a $p$-adic Brauer–Siegel Theorem ⋮ On large values of L(σ,χ) ⋮ On the mean square average of special values of \(L\)-functions ⋮ \(L\)-functions of automorphic forms and combinatorics: Dyck paths. ⋮ Bounds on short character sums and \(L\)-functions with characters to a powerful modulus ⋮ Upper bounds on residues of Dedekind zeta functions of non-normal totally real cubic fields ⋮ Large character sums: Pretentious characters and the Pólya-Vinogradov theorem

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