8 papers
Numerical verification of Littlewood's bounds for
Alessandro Languasco
Let be the Dirichlet -function associated to a non trivial primitive Dirichlet character defined , where is an odd prime. In this paper we introduce a…
Computation of the Kummer ratio of the class number for prime cyclotomic fields
Alessandro Languasco, Pieter Moree, Sumaia Saad Eddin +1
Let be a primitive root of unity with an arbitrary odd prime. The ratio of Kummer's first factor of the class number of the cyclotomic number field $\math…
Efficient computation of the Euler-Kronecker constants of prime cyclotomic fields
Alessandro Languasco
We introduce a new algorithm, which is faster and requires less computing resources than the ones previously known, to compute the Euler-Kronecker constants for th…
Short intervals asymptotic formulae for binary problems with prime powers, II
Alessandro Languasco, Alessandro Zaccagnini
We improve some results about the asymptotic formulae in short intervals for the average number of representations of integers of the forms and $n…
Short intervals asymptotic formulae for binary problems with prime powers
Alessandro Languasco, Alessandro Zaccagnini
We prove results about the asymptotic formulae in short intervals for the average number of representations of integers of the forms , with $\ell_1…
A Cesàro average for an additive problem with prime powers
Alessandro Languasco, Alessandro Zaccagnini
In this paper we extend and improve our results on weighted averages for the number of representations of an integer as a sum of two powers of primes. Let …