Explicit Lower bounds for residues at 𝑠=1 of Dedekind zeta functions and relative class numbers of CM-fields
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Publication:4806472
DOI10.1090/S0002-9947-03-03313-0zbMath1026.11085OpenAlexW1911894398MaRDI QIDQ4806472
Publication date: 14 May 2003
Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1090/s0002-9947-03-03313-0
Class numbers, class groups, discriminants (11R29) Zeta functions and (L)-functions of number fields (11R42)
Related Items
On the use of explicit bounds on residues of Dedekind zeta functions taking into account the behavior of small primes ⋮ The class number one problem for the normal CM-fields of degree 32 ⋮ NONABELIAN NORMAL CM-FIELDS OF DEGREE 2 pq ⋮ Explicit estimates for Artin \(L\)-functions: Duke's short-sum theorem and Dedekind zeta residues ⋮ Unnamed Item ⋮ Class number one problem for normal CM-fields ⋮ The CM class number one problem for curves of genus 2 ⋮ The class number one problem for some non-normal CM-fields of degree \(2p\) ⋮ Explicit upper bounds for values at \(s=1\) of Dirichlet \(L\)-series associated with primitive even characters. ⋮ Some explicit upper bounds for residues of zeta functions of number fields taking into account the behavior of the prime \(2\) ⋮ The zeros of Dedekind zeta functions and class numbers of CM-fields ⋮ CM-fields with relative class number one ⋮ Real zeros of Dedekind zeta functions ⋮ Computing Igusa class polynomials ⋮ Explicit upper bounds of \(|L(1,\chi)|\). IV
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