4 citations · 9 across the 5 of their papers we have counts for
5 papers
Dirichlet -series at and the scarcity of Euler systems
Dominik Bullach, David Burns, Alexandre Daoud +1
We study Euler systems for over a number field . Motivated by a distribution-theoretic idea of Coleman, we formulate a conjecture regarding the existence of such…
On Weil-Stark elements, I: general properties
David Burns, Daniel Macias Castillo, Soogil Seo
We construct a canonical family of elements in the reduced exterior power lattices of the unit groups of global fields. We prove that this family recovers the theory of cyclotomic…
On a conjecture of Coleman concerning Euler systems
David Burns, Alexandre Daoud, Soogil Seo
We prove a distribution-theoretic conjecture of Robert Coleman, thereby also obtaining an explicit description of the complete set of Euler systems for the multiplicative group ove…
On Euler systems for the multiplicative group over general number fields
David Burns, Alexandre Daoud, Takamichi Sano +1
We formulate, and provide strong evidence for, a natural generalization of a conjecture of Robert Coleman concerning Euler systems for the multiplicative group over arbitrary numbe…
On circular distributions and a conjecture of Coleman
David Burns, Soogil Seo
We investigate a conjecture of Robert Coleman concerning the module of circular distributions.