21 citations · 89 across the 29 of their papers we have counts for
5 papers · 2 filters
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 -adic families of special elements for rank-one motives
Dominik Bullach, David Burns, Takamichi Sano
We conjecture that special elements associated with rank-one motives are obtained -adically from Rubin-Stark elements by means of a precise `higher-rank Soulé twist' constructio…
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 derivatives of Kato's Euler system and the Mazur-Tate Conjecture
David Burns, Masato Kurihara, Takamichi Sano
We provide a new interpretation of the Mazur-Tate Conjecture and then use it to obtain the first (unconditional) theoretical evidence in support of the conjecture for elliptic curv…