4 papers · 1 filter
On the Brumer-Stark Conjecture and Refinements
Samit Dasgupta, Mahesh Kakde
We state the Brumer-Stark conjecture and motivate it from two perspectives. Stark's perspective arose in his attempts to generalize the classical Dirichlet class number formula for…
On Constant Terms of Eisenstein Series
Samit Dasgupta, Mahesh Kakde
We calculate the constant terms of certain Hilbert modular Eisenstein series at all cusps. Our formula relates these constant terms to special values of Hecke -series. This buil…
Sylvester's Problem and Mock Heegner Points
Samit Dasgupta, John Voight
We prove that if is prime and is not a cube modulo , then both of the equations and have a solution with $x,y \in \mathbb{Q…
On the Characteristic Polynomial of the Gross Regulator Matrix
Samit Dasgupta, Michael Spiess
We present a conjectural formula for the principal minors and the characteristic polynomial of Gross's regulator matrix associated to a totally odd character of a totally real fiel…