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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.CV2023
A new proof of the corona problem
Hunduma Legesse Geleta
The corona problem was motivated by the question of the density of the open unit disc in the maximal ideal space of the algebra of bounded holomorphic functions on the unit disc. T…
math.CV2023
Curves formed by Vanishing Discriminant and Roots of Complex-valued Harmonic Polynomials (Computer-Aided Case Study)
Oluma Ararso Alemu, Hunduma Legesse Geleta
In this paper, we determine and specify the type of curves formed by the vanishing discriminant of some specified family of complex-valued harmonic polynomials with two parameters.…