Tristan Freiberg

activity

20102026

most citedOn the average exponent of elliptic curves modulo p

15 citations · 83 across the 16 of their papers we have counts for

collaborators

Showing 2015Show all

3 papers · 1 filter

math.NT2015★ 14 cited

Limit points and long gaps between primes

Roger Baker, Tristan Freiberg

Let $d_{n} = p_{n + 1} - p_{n}$ , where $p_{n}$ denotes the $n$ th smallest prime, and let $R (T) = lo g T lo g_{2} T lo g_{4} T / (lo g_{3} T)^{2}$ (the "Erd{\H o}s--Rankin" function). We consider the…

math.NT2015

Short intervals with a given number of primes

Tristan Freiberg

A well-known conjecture asserts that, for any given positive real number $λ$ and nonnegative integer $m$ , the proportion of positive integers $n \leq x$ for which the interval $(n,n…

math.NT2015

Carmichael numbers and the sieve

William D. Banks, Tristan Freiberg

Using the sieve, we show that there are infinitely many Carmichael numbers whose prime factors all have the form $p = 1 + a^{2} + b^{2}$ with $a, b \in Z$ .