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math.NT2026
Generalized Addition Theorems for the Jacobi Elliptic Functions
Efe Gürel
In this paper, we generalize the classical addition theorems for the Jacobi elliptic functions, giving numerous implicit and explicit formulas. We first present determinant identit…
math.NT2025
A Product Identity For Dirichlet Series Satisfying Hecke's Functional Equation
Efe Gürel
In this paper, we give an analogue of Wilton's product formula for Dirichlet series that satisfy Hecke's functional equation. We apply our results to obtain identities for Hecke se…