3 papers
math.NT2026
Reciprocity for The Short Twisted Second Moment of The Riemann Zeta Function
Ze Sen Tang
We prove a reciprocity formula for a twisted second moment of the Riemann zeta function over a short interval of length , where , centered at height …
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
On moments of L-functions over Dirichlet characters
Avery Bainbridge, Rizwanur Khan, Ze Sen Tang
We give a new proof of Heath-Brown's full asymptotic expansion for the second moment of Dirichlet L-functions and we obtain a corresponding asymptotic expansion for a twisted first…