Naomi Tanabe

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20112024

most citedNotes on the arithmetic of Hilbert modular forms

33 citations · 40 across the 7 of their papers we have counts for

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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…

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

Large Sums of Fourier Coefficients of Cusp Forms

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