S. Dasgupta

collaborators

3 papers

math.NT2020

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 $L$ -series. This buil…

math.NT2017

Sylvester's Problem and Mock Heegner Points

Samit Dasgupta, John Voight

We prove that if $p \equiv 4, 7 (mod 9)$ is prime and $3$ is not a cube modulo $p$ , then both of the equations $x^{3} + y^{3} = p$ and $x^{3} + y^{3} = p^{2}$ have a solution with $x,y \in \mathbb{Q…

math.NT2017

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…