scientific article; zbMATH DE number 952082

zbMath0864.11042MaRDI QIDQ4717169

Stéphane R. Louboutin

Publication date: 22 June 1997

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zbMATH Keywords

Dirichlet \(L\)-functionsabelian extension\(L\)-functions of number fields

Mathematics Subject Classification ID

Real zeros of (L(s, chi)); results on (L(1, chi)) (11M20) Zeta functions and (L)-functions of number fields (11R42)

Related Items (8)

Explicit upper bounds for values at \(s=1\) of Dirichlet \(L\)-series associated with primitive even characters. ⋮ Upper bounds on $L(1,\chi )$ taking into account a finite set of prime ideals ⋮ Two explicit divisor sums ⋮ Upper bounds for residues of Dedekind zeta functions and class numbers of cubic and quartic number fields ⋮ Upper bounds on \(L(1,\chi)\) taking into account ramified prime ideals ⋮ Explicit bounds for residues of Dedekind zeta functions, values of \(L\)-functions at \(s=1\), and relative class numbers ⋮ Average Frobenius distributions for elliptic curves with 3-torsion ⋮ An explicit upper bound for |L(1,χ)| when χ(2) = 1 and χ is even

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