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Currently displaying 1 – 6 of 6

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Two Cases of Stark's Conjecture.

Jonathan W. Sands — 1985

Mathematische Annalen

On the non-triviality of the basic Iwasawa λ-invariant for an infinitude of imaginary quadratic fields

Jonathan W. Sands — 1993

Acta Arithmetica

L-functions at the origin and annihilation of class groups in multiquadratic extensions

Jonathan W. Sands — 2012

Acta Arithmetica

L-values and the Fitting ideal of the tame kernel for relative quadratic extensions

Jonathan W. Sands — 2008

Acta Arithmetica

Sur quelques modules d'Iwasawa semi-simples

Jean-François Jaulent; Jonathan W. Sands — 1995

Compositio Mathematica

Stark's conjecture in multi-quadratic extensions, revisited

David S. Dummit; Jonathan W. Sands; Brett Tangedal — 2003

Journal de théorie des nombres de Bordeaux

Stark’s conjectures connect special units in number fields with special values of $L$ -functions attached to these fields. We consider the fundamental equality of Stark’s refined conjecture for the case of an abelian Galois group, and prove it when this group has exponent $2$ . For biquadratic extensions and most others, we prove more, establishing the conjecture in full.

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