scientific article; zbMATH DE number 754971
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Publication:4698146
zbMath0820.11069MaRDI QIDQ4698146
Publication date: 14 September 1995
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\(L\)-functionglobal function fieldsclass number formulaabelian extensionconjecture of Grosspro-\(p\)- extension
Arithmetic theory of algebraic function fields (11R58) Zeta functions and (L)-functions (11S40) Other abelian and metabelian extensions (11R20)
Related Items (9)
On the refined class number formula of Gross ⋮ Refined theorems of the Birch and Swinnerton-Dyer type ⋮ Congruences between derivatives of abelian \(L\)-functions at \(s =0\) ⋮ Gross' conjecture for extensions ramified over four points of \(\mathbb P^1\) ⋮ Stickelberger elements for \(\mathbb Z^d_p\)-extensions of function fields ⋮ Congruences between derivatives of geometric \(L\)-functions. With an appendix by David Burns, King Fai Lai and Ki-Seng Tan ⋮ On Tate's refinement for a conjecture of Gross and its generalization ⋮ Generalized Stark formulae over function fields ⋮ Stickelberger elements over rational function fields
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