2 citations · 3 across the 2 of their papers we have counts for
5 papers
Joint value distribution of -functions on the critical line
Shōta Inoue, Junxian Li
In this paper, we discuss the joint value distribution of -functions in a suitable class. We obtain joint large deviations results in the central limit theorem for these -fun…
Uniform Titchmarsh divisor problems
Edgar Assing, Valentin Blomer, Junxian Li
Asymptotic formulae for Titchmarsh-type divisor sums are obtained with strong error terms that are uniform in the shift parameter. This applies to more general arithmetic functions…
The Surprising Accuracy of Benford's Law in Mathematics
Zhaodong Cai, Matthew Faust, A. J. Hildebrand +2
Benford's law is an empirical ``law'' governing the frequency of leading digits in numerical data sets. Surprisingly, for mathematical sequences the predictions derived from it can…
Almost Beatty Partitions
A. J. Hildebrand, Junxian Li, Xiaomin Li +1
Given , the Beatty sequence of density is the sequence . Beatty's theorem states that if are irrational numbers with $α+…
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 , where are primes.