23 citations · 59 across the 22 of their papers we have counts for
5 papers · 1 filter
Improvements on Cantor-Zassenhaus Factorization Algorithm
Michele Elia, Davide Schipani
After revisiting Cantor-Zassenhaus polynomial factorization algorithm, we describe a new simplified version of it, which requires less computational cost. Moreover we show that it…
Gauss Sums of the Cubic Character over : an elementary derivation
Davide Schipani, Michele Elia
An elementary approach is shown which derives the value of the Gauss sum of a cubic character over a finite field without using Davenport-Hasse's theorem (namely,…
Generalized Riemann hypotheses: sufficient and equivalent criteria
Davide Schipani
This paper presents new sufficient and equivalent conditions for the generalized version of the Riemann Hypothesis. The paper derives also statements and remarks concerning zero-fr…
Sufficient and equivalent criteria for the Riemann Hypothesis
Davide Schipani
The paper presents several new sufficient conditions, as well as new equivalent criteria for the classical Riemann Hypothesis. Noteworthy are also other statements and remarks abou…
Zeros of the Hurwitz zeta function in the interval (0,1)
Davide Schipani
We first give a condition on the parameters under which the Hurwitz zeta function has no zeros and is actually negative. As a corollary we derive that it is nonzero…