Gradin Anderson

collaborators

3 papers

math.NT2025

Bianchi Modular Forms and the Rationality of Periods

Gradin Anderson, Peter Harrigan, Louisa Hoback +2

Using an explicit Eichler-Shimura-Harder isomorphism, we establish the analogue of Manin's rationality theorem for Bianchi periods and hence special values of $L$ -functions of Bian…

math.NT2025

Transcendental formulas for the coefficients of Ramanujan's mock theta functions

Nickolas Andersen, Gradin Anderson

Ramanujan's 1920 last letter to Hardy contains seventeen examples of mock theta functions which he organized into three "orders." The most famous of these is the third-order functi…

math.NT2023

The Weil bound for generalized Kloosterman sums of half-integral weight

Nickolas Andersen, Gradin Anderson, Amy Woodall

Let $L$ be an even lattice of odd rank with discriminant group $L^{'} / L$ , and let $α, β \in L^{'} / L$ . We prove the Weil bound for the Kloosterman sums $S_{α, β} (m, n, c)$ of half-integral wei…