scientific article; zbMATH DE number 1308957

DOI10.1023/A:1000833610462zbMath1004.11065arXivmath/9701208MaRDI QIDQ4256013

Cristian D. Popescu

Publication date: 11 February 2003

Published in: Compositio Mathematica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/9701208

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zbMATH Keywords

unitsclass groupsglobal fields of characteristic \(p\)constant field extensionsAbelian extensions of function fields over finite fieldsrefinement of Stark's conjecturespecial values of Abelian \(L\)-functions

Mathematics Subject Classification ID

Arithmetic theory of algebraic function fields (11R58) Zeta functions and (L)-functions of number fields (11R42)

Related Items (9)

Congruences between derivatives of abelian \(L\)-functions at \(s =0\) ⋮ Numerical Evidence for a Conjectural Generalization of Hilbert's Theorem 132 ⋮ THE EQUIVALENCE OF RUBIN'S CONJECTURE AND THE ETNC/LRNC FOR CERTAIN BIQUADRATIC EXTENSIONS ⋮ Congruences between derivatives of geometric \(L\)-functions. With an appendix by David Burns, King Fai Lai and Ki-Seng Tan ⋮ The Rubin--Stark conjecture for a special class of function field extensions ⋮ Computation of Stark-Tamagawa units ⋮ Generalized Stark formulae over function fields ⋮ THE FRACTIONAL GALOIS IDEAL FOR ARBITRARY ORDER OF VANISHING ⋮ Twisted zeta-functions and Abelian Stark conjectures

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