Chih-Yun Chuang
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View article: Variation of a Theme of Landau--Shanks in Positive Characteristic
Variation of a Theme of Landau--Shanks in Positive Characteristic Open
Let $\\mathbf{A} := \\mathbb{F}_q[t]$ be a polynomial ring over a finite field $\\mathbb{F}_q$ of odd characteristic and let $D \\in \\mathbf{A}$ be a square-free polynomial. Denote by $\\mathbf{N}_{D}(n,q)$ the number of polynomials $f$ i…
View article: Waldspurger formula over function fields
Waldspurger formula over function fields Open
In this paper, we derive a function field version of the Waldspurger formula for the central critical values of the Rankin-Selberg $L$-functions. This formula states that the central critical $L$-values in question can be expressed as the …
View article: Waldspurger formula over function fields
Waldspurger formula over function fields Open
In this paper, we derive a function field version of the Waldspurger formula for the central critical values of the Rankin-Selberg L-functions. This formula states that the central critical L-values in question can be expressed as the "rat…