2 papers
math.NT2025
Reciprocity for GL(2) L-functions twisted by Dirichlet characters
Agniva Dasgupta, Rizwanur Khan, Ze Sen Tang
A formula connecting a moment of L-functions and a dual moment in a way that interchanges the roles of certain key parameters on both sides is known as a reciprocity relation. We e…
math.NT2025
Upper bounds for analytic ranks of elliptic curves over cyclotomic fields
Agniva Dasgupta, Rizwanur Khan
Let be an elliptic curve defined over . We show that the analytic rank of over the cyclotomic extension is bounded above by $q^{45/52+\v…