Junxian Li

activity

20162025

most citedLower bounds for discrete negative moments of the Riemann zeta function

12 citations · 31 across the 17 of their papers we have counts for

collaborators

Showing 2018Show all

3 papers · 1 filter

math.NT2018★ 1 cited

A local Benford Law for a class of arithmetic sequences

Zhaodong Cai, A. J. Hildebrand, Junxian Li

It is well-known that sequences such as the Fibonacci numbers and the factorials satisfy Benford's Law, that is, leading digits in these sequences occur with frequencies given by $…

math.NT2018

Almost Beatty Partitions

A. J. Hildebrand, Junxian Li, Xiaomin Li +1

Given $0 < α < 1$ , the Beatty sequence of density $α$ is the sequence $B_{α} = (⌊ n / α ⌋)_{n \in N}$ . Beatty's theorem states that if $α, β$ are irrational numbers with $α+…

math.NT2018★ 1 cited

A binary quadratic Titchmarsh divisor problem

Junxian Li

We consider a binary quadratic variant of the Titchmarsh divisor problem and give an asymptotic formula for $\sum_{p^{2} + q^{2} \leq N} τ (p^{2} + q^{2} + 1)$ , where $p, q$ are primes.