4 papers · 1 filter
Odd moments for the trace of Frobenius and the Sato--Tate conjecture in arithmetic progressions
Kathrin Bringmann, Ben Kane, Sudhir Pujahari
In this paper, we consider the moments of the trace of Frobenius of elliptic curves if the trace is restricted to a fixed arithmetic progression. We determine the asymptotic behavi…
Formulas for moments of class numbers in arithmetic progressions
Kathrin Bringmann, Ben Kane, Sudhir Pujahari
In this paper, we obtain explicit formulas for the second moments for Hurwitz class numbers with running through a fixed congruence class modulo .
A Bombieri-Vinogradov-type theorem with prime power moduli
Stephan Baier, Sudhir Pujahari
In 2020, Roger Baker \cite{Bak} proved a result on the exceptional set of moduli in the prime number theorem for arithmetic progressions of the following kind. Let be…
Zeros of higher derivatives of Riemann zeta function
Mithun Kumar Das, Sudhir Pujahari
In this article, we extend the result of Conrey [5, Theorem 2] to shorter intervals for higher-order derivatives of the zeta function. That is we study the mean value of the produc…