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

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Showing 2026 · math.NTShow all

3 papers · 2 filters

math.NT2026

Biases in the distribution of primes in short intervals

Tristan Freiberg

Assuming a suitably uniform Hardy--Littlewood prime tuples hypothesis, we obtain a second-order asymptotic for the proportion of short intervals containing a prescribed number of p…

math.NT2026

A tyro's approach to the tilted sieve: beyond the Erdős--Rankin bound

Tristan Freiberg

We give an elementary exposition of the tilted sieve introduced by GPT-5.6~Sol \cite{GPT2026}, showing that one residue class modulo each prime $p \leq x$ can cover an interval of l…

math.NT2026

Long runs of integers with small prime factors and the divisor function of $n!$

Tristan Freiberg

Let $d$ be the divisor function, and let $K (n)$ be the least positive integer $K$ for which $d ((n + K)!) \geq 2 d (n!)$ . Erdős, Graham, Ivić and Pomerance proved that, for infinitely…

Biases in the distribution of primes in short intervals

A tyro's approach to the tilted sieve: beyond the Erdős--Rankin bound

Long runs of integers with small prime factors and the divisor function of n!

Long runs of integers with small prime factors and the divisor function of $n!$