Stickelberger elements for \(\mathbb Z^d_p\)-extensions of function fields

DOI10.1016/j.jnt.2008.04.006zbMath1225.11156OpenAlexW2052239245MaRDI QIDQ531776

Ka-Lam Kueh, Ki-Seng Tan, King-Fai Lai

Publication date: 20 April 2011

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jnt.2008.04.006

zbMATH Keywords

Iwasawa theoryclass numbersspecial values of \(L\)-functionsregulatorsconjecture of Grosslocal Leopoldt conjectureStickelberger element

Mathematics Subject Classification ID

Arithmetic theory of algebraic function fields (11R58) Zeta functions and (L)-functions of number fields (11R42) Iwasawa theory (11R23) Zeta functions and (L)-functions (11S40)

Related Items (3)

Aspects of Iwasawa theory over function fields ⋮ On Geometric Iwasawa Theory and Special Values of Zeta Functions ⋮ Congruences between derivatives of geometric \(L\)-functions. With an appendix by David Burns, King Fai Lai and Ki-Seng Tan

Cites Work

• Multiplicative independence in function fields
• The Stark conjectures on Artin \(L\)-functions at \(s=0\). Lecture notes of a course in Orsay edited by Dominique Bernardi and Norbert Schappacher.
• The refined \(\mathfrak p\)-adic abelian Stark conjecture in function fields
• Congruences between derivatives of abelian \(L\)-functions at \(s =0\)
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