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math.NT2023
Automorphic Integrals with Rational Period Functions and Arithmetical Identities
Tewlede G/Egziabher, Hunduma Legesse Geleta, Abdul Hassen
In 1961, Chandrasekharan and Narasimhan showed that for a large class of Dirichlet series the functional equation and two types of arithmetical identities are equivalent. In 1992,…
math.NT2022
Automorphic Integrals with Log-polynomial Period Functions and Arithmetical Identities
Tewlede G/Egziabher, Hunduma Legesse Geleta, Abdul Hassen
Building on the works of S. Bochner on equivalence of modular relation with functional equation associated to the Dirichlet series, K. Chandrasekharan and R. Narasimhan obtained ne…
math.NT2005
Hypergeometric Zeta Functions
Abdul Hassen, Hieu D. Nguyen
This paper investigates a new family of special functions referred to as hypergeometric zeta functions. Derived from the integral representation of the classical Riemann zeta funct…