The χ-part of the Analytic Class Number Formula, for Global Function Fields

Stéphane Viguié

Bulletin of the Polish Academy of Sciences. Mathematics (2012)

  • Volume: 60, Issue: 2, page 113-122
  • ISSN: 0239-7269

Abstract

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Let F/k be a finite abelian extension of global function fields, totally split at a distinguished place ∞ of k. We show that a complex Gras conjecture holds for Stark units, and we derive a refined analytic class number formula.

How to cite

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Stéphane Viguié. "The χ-part of the Analytic Class Number Formula, for Global Function Fields." Bulletin of the Polish Academy of Sciences. Mathematics 60.2 (2012): 113-122. <http://eudml.org/doc/281288>.

@article{StéphaneViguié2012,
abstract = {Let F/k be a finite abelian extension of global function fields, totally split at a distinguished place ∞ of k. We show that a complex Gras conjecture holds for Stark units, and we derive a refined analytic class number formula.},
author = {Stéphane Viguié},
journal = {Bulletin of the Polish Academy of Sciences. Mathematics},
keywords = {Stark units; Gras conjecture; analytic class number formula},
language = {eng},
number = {2},
pages = {113-122},
title = {The χ-part of the Analytic Class Number Formula, for Global Function Fields},
url = {http://eudml.org/doc/281288},
volume = {60},
year = {2012},
}

TY - JOUR
AU - Stéphane Viguié
TI - The χ-part of the Analytic Class Number Formula, for Global Function Fields
JO - Bulletin of the Polish Academy of Sciences. Mathematics
PY - 2012
VL - 60
IS - 2
SP - 113
EP - 122
AB - Let F/k be a finite abelian extension of global function fields, totally split at a distinguished place ∞ of k. We show that a complex Gras conjecture holds for Stark units, and we derive a refined analytic class number formula.
LA - eng
KW - Stark units; Gras conjecture; analytic class number formula
UR - http://eudml.org/doc/281288
ER -

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