Thaine's Method for Circular Units and a Conjecture of Gross
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Publication:4846533
DOI10.4153/CJM-1995-016-6zbMath0844.11071WikidataQ123317640 ScholiaQ123317640MaRDI QIDQ4846533
Publication date: 26 November 1995
Published in: Canadian Journal of Mathematics (Search for Journal in Brave)
real quadratic fieldregulatorquadratic charactercircular unitsaugmentation idealorder of vanishingvalues of \(L\)-functionsgeneralized class number
Units and factorization (11R27) Class numbers, class groups, discriminants (11R29) Zeta functions and (L)-functions of number fields (11R42) Cyclotomic extensions (11R18) Algebraic numbers; rings of algebraic integers (11R04)
Related Items (14)
On a conjecture for Rubin-Stark elements in a special case ⋮ Refined class number formulas for \(\mathbb{G}_m\) ⋮ Congruences between derivatives of abelian \(L\)-functions at \(s =0\) ⋮ Refined abelian Stark conjectures and the equivariant leading term conjecture of Burns ⋮ A refined Beilinson–Bloch conjecture for motives of modular forms ⋮ A generalization of Darmon's conjecture for Euler systems for general \(p\)-adic representations ⋮ The equivariant Tamagawa number conjecture for abelian extensions of imaginary quadratic fields ⋮ Gross' conjecture for extensions ramified over four points of \(\mathbb P^1\) ⋮ Annihilators of minus class groups of imaginary Abelian fields ⋮ The \((S, \{2 \})\)-Iwasawa theory ⋮ Refined class number formulas for elliptic units ⋮ 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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