Kyle Pratt

activity

20182026

most citedWeighted central limit theorems for central values of

L

-functions

1 citations · 1 across the 12 of their papers we have counts for

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math.NT2024

Nontrivial rational points on Erdős-Selfridge curves

Kyle Pratt

We study rational points on the Erdős-Selfridge curves \begin{align*} y^\ell = x(x+1)\cdots (x+k-1), \end{align*} where $k, ℓ \geq 2$ are integers. These curves contain "trivial"…

math.NT2024

The irrationality of a prime factor series under a prime tuples conjecture

Kyle Pratt

Let $ω (n)$ denote the number of distinct prime factors of $n$ . Assuming a suitably uniform version of the prime $k$ -tuples conjecture, we show that the number \begin{align*} \sum_{…