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Chen's double sieve, Goldbach's conjecture and the twin prime problem
- J. Wu
- Mathematics
- 11 May 2007
For every even integerN , denote byD(N) andD1,2(N) the number of representations of N as a sum of two primes and as a sum of a prime and an integer having at most two prime factors, respectively. In…
Multiple Exponential Sums with Monomials and Their Applications in Number Theory
Fouvry and Iwaniec's method ([6], [11]) for exponential sums with monomials uses, in a crucial way, a spacing lemma for t(m, q) := (m + q)α − (m − q)α. By introducing a technique on integer points…
Distribution and estimation for eigenvalues of real quaternion matrices
- J. Wu
- MathematicsComput. Math. Appl.
- 1 May 2008
The Selberg-Delange method in short intervals with an application
In this paper, we establish a general mean value result of arithmetic functions over short intervals with the Selberg-Delange method. As an application, we generalize the…
A large sieve inequality of Elliott-Montgomery-Vaughan type for automorphic forms and two applications
In this paper, we establish a large sieve inequality of Elliott-MontgomeryVaughan type for Fourier coefficients of newforms. As applications, we give a significant improvement on the principal result…
On the least quadratic non-residue †
We prove that for almost all real primitive characters χd of modulus |d|, the least positive integer nχd at which χd takes a value not equal to 0 and 1 satisfies nχd ¿ log |d|, and give a quite…
Note on a paper by Bordellès, Dai, Heyman, Pan and Shparlinski
- J. Wu
- MathematicsPeriod. Math. Hung.
- 2 December 2019
TLDR
On the Sum of Exponential Divisors of an Integer
- Y. Pétermann, J. Wu
- Mathematics
- 1 October 1997
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