2 citations · 4 across the 6 of their papers we have counts for
7 papers
Towards a Theory of SIC-like Phenomena: Regular Bouquets and Generalised Heisenberg Groups
David Solomon
We lay the foundations for a broad algebraic theory encompassing SICs in the hope of elucidating their heuristic connections with Stark units. What emerges is a greatly generalised…
Some New Maps and Ideals in Classical Iwasawa Theory with Applications
David Solomon
We introduce a new ideal {\mathfrak D} of the p-adic Galois group-ring associated to a real abelian field and a related ideal {\mathfrak J} for imaginary abelian fields. Both resul…
Verifying the Congruence Conjecture for Rubin-Stark Elements
Xavier-François Roblot, David Solomon
The `Congruence Conjecture' was developed by the second author in a previous paper. It provides a conjectural explicit reciprocity law for a certain element associated to an abelia…
Abelian L-Functions at s=1 and Explicit Reciprocity for Rubin-Stark Elements
David Solomon
Given an abelian, CM extension K of any totally real number field k, we consider two conjectures `of Stark type'. The `Integrality Conjecture' concerns the image of a p-adic map `\…
On Twisted Zeta-Functions at s=0
David Solomon
Let K be an abelian extension of a totally real number field k, K^+ its maximal real subfield and G=Gal(K/k). We have previously used twisted zeta-functions to define a meromorphic…
Abelian Conjectures of Stark Type in Z_p Extensions of Totally Real Fields
David Solomon
We study the behaviour of the Stark conjecture for an abelian extension K/k of totally real number fields as K varies in a cyclotomic Z_p-tower. We consider possible strengthenings…