64 citations · 420 across the 98 of their papers we have counts for
31 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…
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…
On Modular Signs Of Half Integral Weights
Bin Chen, Jie Wu, Yichao Zhang
In this paper, we consider the first negative eigenvalue of eigenforms of half-integral weight k + 1/2 and obtain an almost type bound.