Siegfred Baluyot

activity

20182025

2 k

th moments of primitive Dirichlet

L

-functions: beyond the diagonal

1 citations · 1 across the 2 of their papers we have counts for

collaborators

4 papers

math.NT2025

Multiple Dirichlet series predictions for moments of $L$ -functions: unitary, symplectic and orthogonal examples

Siegfred Baluyot, Martin Čech

We devise heuristics using multiple Dirichlet series to predict asymptotic formulas for shifted moments of (1) the family of Dirichlet $L$ -functions of all even primitive character…

math.NT2022★ 1 cited

Twisted $2 k$ th moments of primitive Dirichlet $L$ -functions: beyond the diagonal

Siegfred Baluyot, Caroline L. Turnage-Butterbaugh

We study the family of Dirichlet $L$ -functions of all even primitive characters of conductor at most $Q$ , where $Q$ is a parameter tending to $\infty$ . For an arbitrary positive in…

math.NT2018

Dirichlet $L$ -functions of quadratic characters of prime conductor at the central point

Siegfred Baluyot, Kyle Pratt

We prove that more than nine percent of the central values $L (\frac{1}{2}, χ_{p})$ are non-zero, where $p \equiv 1 (mod 8)$ ranges over primes and $χ_{p}$ is the real primitive Dirichle…

math.NT2018

Small zeros of Dirichlet $L$ -functions of quadratic characters of prime modulus

Julio Andrade, Siegfred Baluyot

In this paper, we investigate the distribution of the imaginary parts of zeros near the real axis of Dirichlet $L$ -functions associated to the quadratic characters $χ_{p}(\cdot)=(\…

Multiple Dirichlet series predictions for moments of L-functions: unitary, symplectic and orthogonal examples

Twisted 2kth moments of primitive Dirichlet L-functions: beyond the diagonal

Dirichlet L-functions of quadratic characters of prime conductor at the central point

Small zeros of Dirichlet L-functions of quadratic characters of prime modulus

Multiple Dirichlet series predictions for moments of $L$ -functions: unitary, symplectic and orthogonal examples

Twisted $2 k$ th moments of primitive Dirichlet $L$ -functions: beyond the diagonal

Dirichlet $L$ -functions of quadratic characters of prime conductor at the central point

Small zeros of Dirichlet $L$ -functions of quadratic characters of prime modulus