Generalized Stark formulae over function fields
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Publication:3625564
DOI10.1090/S0002-9947-08-04830-7zbMath1233.11117arXivmath/0701061MaRDI QIDQ3625564
Publication date: 5 May 2009
Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math/0701061
class numbersspecial values of \(L\)-functionsregulatorsconjecture of Grosslocal Leopoldt conjectureStickelberger elementStark conjectureRubin's conjectureconjecture of Rubin and Burns
Arithmetic theory of algebraic function fields (11R58) Zeta functions and (L)-functions of number fields (11R42) Zeta functions and (L)-functions (11S40)
Related Items (2)
A class-field theoretical calculation ⋮ Congruences between derivatives of geometric \(L\)-functions. With an appendix by David Burns, King Fai Lai and Ki-Seng Tan
Cites Work
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- On a conjecture of Gross on special values of L-functions
- 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.
- Stark's conjecture and Abelian \(L\)-functions with higher order zeros at \(s=0\)
- The refined \(\mathfrak p\)-adic abelian Stark conjecture in function fields
- \(L\)-functions at \(s=1\). IV: First derivatives at \(s=0\)
- \(L\)-functions at \(s=1\). II: Artin \(L\)-functions with rational characters
- \(L\)-functions at \(s=1\). III: Totally real fields and Hilbert's twelfth problem
- On the values of equivariant zeta functions of curves over finite fields
- On the refined class number formula for global function fields
- On the refined class number formula of Gross
- A note on Stickelberger elements for cyclic \(p\)-extensions over global function fields of characteristic \(p\)
- A Stark conjecture ``over \({\mathbb{Z}}\) for abelian \(L\)-functions with multiple zeros
- Congruences between derivatives of abelian \(L\)-functions at \(s =0\)
- On Tate's refinement for a conjecture of Gross and its generalization
- The Rubin--Stark conjecture for a special class of function field extensions
- Values of \(L\)-functions at \(s=1\). I: \(L\)-functions for quadratic forms
- Base change for Stark-type conjectures "over \mathbb{Z}"
- A class number formula for higher derivatives of abelian L-functions
- Thaine's Method for Circular Units and a Conjecture of Gross
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