64 citations · 420 across the 98 of their papers we have counts for
5 papers · 1 filter
The Embedded Homology of Hypergraphs and Applications
Stephane Bressan, Jingyan Li, Shiquan Ren +1
Hypergraphs are mathematical models for many problems in data sciences. In recent decades, the topological properties of hypergraphs have been studied and various kinds of (co)homo…
Local Behavior of Arithmetical Functions with Applications to Automorphic L-Functions
Yuk-Kam Lau, Jianya Liu, Jie Wu
We derive a Voronoi-type series approximation for the local weighted mean of an arithmetical function that is associated to Dirichlet series satisfying a functional equation with g…
Quadratic polynomials at prime arguments
Jie Wu, Ping Xi
For a fixed quadratic irreducible polynomial with no fixed prime factors at prime arguments, we prove that there exist infinitely many primes such that has at most 4…
Arithmetic exponent pairs for algebraic trace functions and applications
Jie Wu, Ping Xi
We study short sums of algebraic trace functions via the -analogue of van der Corput method, and develop methods of arithmetic exponent pairs that coincide with the classical ca…
Sign changes of fourier coefficients of modular forms of half integral weight, 2
Yujiao Jiang, Yuk-Kam Lau, Guangshi Lü +2
In this paper, we investigate the sign changes of Fourier coefficients of half-integral weight Hecke eigenforms and give two quantitative results on the number of sign changes.