Upper Bounds on |L(1, χ)| and Applications

DOI10.4153/CJM-1998-042-2zbMath0912.11046OpenAlexW2322815855MaRDI QIDQ4213970

Stéphane R. Louboutin

Publication date: 17 May 1999

Published in: Canadian Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4153/cjm-1998-042-2

zbMATH Keywords

\(L\)-functionsrelative class numberDedekind zeta functionsCM-fields

Mathematics Subject Classification ID

Real zeros of (L(s, chi)); results on (L(1, chi)) (11M20) Class numbers, class groups, discriminants (11R29) Zeta functions and (L)-functions of number fields (11R42)

Related Items (13)

The class number one problem for the normal CM-fields of degree 32 ⋮ NONABELIAN NORMAL CM-FIELDS OF DEGREE 2 pq ⋮ Bounding the $j$-invariant of integral points on $X_{\mathrm {ns}}^{+}(p)$ ⋮ Class number one problem for normal CM-fields ⋮ Dihedral CM fields with class number one ⋮ Computation of L(0, χ) and of relative class numbers of CM-fields ⋮ The class number one problem for some non-abelian normal CM-fields of degree 24 ⋮ Upper bounds on $L(1,\chi )$ taking into account a finite set of prime ideals ⋮ 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 ⋮ Some explicit upper bounds for residues of zeta functions of number fields taking into account the behavior of the prime \(2\) ⋮ Upper bounds on residues of Dedekind zeta functions of non-normal totally real cubic fields ⋮ Class numbers of imaginary abelian number fields

This page was built for publication: Upper Bounds on |L(1, χ)| and Applications