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math.NT2022
Constants for Artin like problems in Kummer and division fields
Amir Akbary, Milad Fakhari
We apply the character sums method of Lenstra, Moree, and Stevenhagen, to explicitly compute the constants in the Titchmarsh divisor problem for Kummer fields and for division fiel…
math.NT2022
Value-Distribution of Logarithmic Derivatives of Quadratic Twists of Automorphic -functions
Amir Akbary, Alia Hamieh
Let , and let be a fixed cuspidal automorphic representation of with unitary central character. We determine the limi…