Naomi Tanabe

collaborators

4 papers

math.NT2023

An Alternative Approach to Computing $β (2 k + 1)$

Naomi Tanabe, Nawapan Wattanawanichkul

This paper presents a new approach to evaluating the special values of the Dirichlet beta function, $β (2 k + 1)$ , where $k$ is any nonnegative integer. Our approach relies on some pro…

math.NT2023

Large Sums of Fourier Coefficients of Cusp Forms

Claire Frechette, Mathilde Gerbelli-Gauthier, Alia Hamieh +1

Let $N$ be a fixed positive integer, and let $f \in S_{k} (N)$ be a primitive cusp form given by the Fourier expansion $f (z) = \sum_{n = 1}^{\infty} λ_{f} (n) n^{\frac{k - 1}{2}} e (n z)$ . We consi…

math.NT2016

Determining Hilbert Modular Forms by Central Values of Rankin-Selberg Convolutions: The Weight Aspect

Alia Hamieh, Naomi Tanabe

The purpose of this paper is to prove that a primitive Hilbert cusp form $g$ is uniquely determined by the central values of the Rankin-Selberg $L$ -functions $L(\mathbf{f}…

math.NT2016

Determining Hilbert Modular Forms by Central Values of Rankin-Selberg Convolutions: The Level Aspect

Alia Hamieh, Naomi Tanabe

In this paper, we prove that a primitive Hilbert cusp form $g$ is uniquely determined by the central values of the Rankin-Selberg $L$ -functions $L(\mathbf{f}\otimes\mathbf…

An Alternative Approach to Computing β(2k+1)

Large Sums of Fourier Coefficients of Cusp Forms

Determining Hilbert Modular Forms by Central Values of Rankin-Selberg Convolutions: The Weight Aspect

Determining Hilbert Modular Forms by Central Values of Rankin-Selberg Convolutions: The Level Aspect

An Alternative Approach to Computing $β (2 k + 1)$