18 citations · 46 across the 16 of their papers we have counts for
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math.NT2017★ 2 cited
Constrained ternary integers
Florian Luca, Pieter Moree, Robert Osburn +2
An integer is said to be ternary if it is composed of three distinct odd primes. In this paper, we asymptotically count the number of ternary integers with the const…
math.NT2017
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…
math.NT2017★ 3 cited
A logarithmic improvement in the Bombieri-Vinogradov theorem
Alisa Sedunova
In this paper we improve the best known to date result of Dress-Iwaniec-Tenenbaum, getting (log x)^2 instead of (log x)^(5/2). We use a weighted form of Vaughan's identity, allowin…