Showing math.NTShow all
2 papers · 1 filter
math.NT2024
On the Pair Correlation of Zeros of -Functions for Non-CM Newforms in Shifted Ranges
Di Liu, Clayton Williams, Alexandru Zaharescu
We study the pair correlation between zeros of a shifted auxiliary -function attached to a non-CM newform, the scale of which is a fixed constant. We prove an unconditional as…
math.NT2024
Euler Product Sieve
Di Liu, Yuri Matiyasevich, Joseph Oesterlé +1
We study a class of approximations to the Riemann zeta function introduced earlier by the second author on the basis of Euler product. This allows us to justify Euler Product Sieve…