4 papers
A higher order Levin-Feinleib theorem
Olivier Ramare, Alisa Sedunova, Ritika Sharma
When restricted to some non-negative multiplicative function, say f, bounded on primes and that vanishes on non square-free integers, our result provides us with an asymptotic for…
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…
A computational history of prime numbers and Riemann zeros
Pieter Moree, Izabela Petrykiewicz, Alisa Sedunova
We give an informal survey of the historical development of computations related to prime number distribution and zeros of the Riemann zeta function.
Bounds for the integral points on elliptic curves over function fields
Alisa Sedunova
In this paper we give an upper bound for the number of integral points on an elliptic curve E over F_q[T] in terms of its conductor N and q. We proceed by applying the lower bounds…