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.NT2026

Utilizing Smoothing Techniques to Bound $∣ ζ (1 + i t) ∣$

Andrew Christensen, Kyle Pratt

We demonstrate an improved explicit upper bound of $∣ ζ (1 + i t) ∣$ for $3 \leq t \leq 1 0^{9}$ using smoothing techniques. Our method sharpens previous bounds relying on the Riemann--Sieg…

math.NT2026

Binomial coefficients with divisors avoiding an interval

Hung M. Bui, Slava Naprienko, Kyle Pratt +1

We solve a fifty-year-old conjecture of Erdős and Graham concerning whether the binomial coefficient $(k n)$ with $1 \leq k \leq \frac{n}{2}$ must always have a divisor $\l…

Utilizing Smoothing Techniques to Bound ∣ζ(1+it)∣

Binomial coefficients with divisors avoiding an interval

Utilizing Smoothing Techniques to Bound $∣ ζ (1 + i t) ∣$