64 citations · 420 across the 98 of their papers we have counts for
7 papers · 1 filter
On the primes in floor function sets
Rong Ma, Jie Wu
Let [t] be the integral part of the real number t and let 1 P be the characteristic function of the primes. Denote by G (x) the number of primes in the floor function set G(x)…
Manin's conjecture for singular cubic hypersurfaces
Jianya Liu, Tingting Wen, Jie Wu
Let S Q denote x 3 = Q(y 1 ,. .. , y m)z where Q is a primitive positive definite quadratic form in m variables with integer coefficients. This S Q ranges over a class of singular…
On some sums involving the integral part function
Kui Liu, Jie Wu, Zhishan Yang
Denote by k (n), (n) and 2 (n) the number of representations of n as product of k natural numbers, the number of distinct prime factors of n and the characteristic funct…
On The Discrete Morse Functions for Hypergraphs
Shiquan Ren, Chong Wang, Chengyuan Wu +1
A hypergraph can be obtained from a simplicial complex by deleting some non-maximal simplices. In this paper, we study the embedded homology as well as the homology of the (lower-)…
A variant of the prime number theorem
Kui Liu, Jie Wu, Zhishan Yang
Let be the von Mangoldt function, and let be the integral part of real number . In this note, we prove that for any the asymptotic formula $$ \sum_{…
Addendum to "Arithmetic exponent pairs of algebraic trace functions and applications"
Jie Wu, Ping Xi
This addendum devotes to a detailed proof for the inequality (9.14) in our joint work: Arithmetic exponent pairs for algebraic trace functions and applications, with an appendix by…