On exponential sums over primes and application in Waring-Goldbach problem. Zbl 1100.11025
Ren, Xiumin |
|
2005
|
Resonance between automorphic forms and exponential functions. Zbl 1250.11078
Ren, Xiumin; Ye, Yangbo |
|
2010
|
Sums of Fourier coefficients of a Maass form for \(\mathrm{SL}_3(\mathbb{Z})\) twisted by exponential functions. Zbl 1360.11070
Ren, Xiumin; Ye, Yangbo |
|
2014
|
Sums of four cubes of primes. Zbl 1100.11033
Ren, Xiumin |
|
2003
|
Resonance of automorphic forms for \(\mathrm{GL}(3)\). Zbl 1323.11024
Ren, Xiumin; Ye, Yangbo |
|
2015
|
Resonance and rapid decay of exponential sums of Fourier coefficients of a Maass form for \(\mathrm{GL}_m(\mathbb Z)\). Zbl 1386.11069
Ren, Xiumin; Ye, Yangbo |
|
2015
|
Asymptotic Voronoi’s summation formulas and their duality for \(\mathrm{SL}_3(\mathbb Z)\). Zbl 1353.11073
Ren, Xiumin; Ye, Yangbo |
|
2013
|
Waring-Goldbach problem for unlike powers. Zbl 1128.11043
Ren, Xiu Min; Tsang, Kai Man |
|
2007
|
Vinogradov’s exponential sum over primes. Zbl 1152.11038
Ren, Xiumin |
|
2006
|
The Waring-Goldbach problem for cubes. Zbl 0967.11041
Ren, Xiumin |
|
2000
|
Waring-Goldbach problem for unlike powers. II. Zbl 1121.11312
Ren, Xiumin; Tsang, Kaiman |
|
2007
|
On exponential sums involving Fourier coefficients of cusp forms. Zbl 1268.11109
Liu, Kui; Ren, Xiumin |
|
2012
|
Density of integers that are the sum of four cubes of primes. Zbl 0984.11048
Ren, Xiumin |
|
2001
|
The exceptional set in Roth’s theorem concerning a cube and three cubes of primes. Zbl 0991.11056
Ren, Xiumin |
|
2001
|
Hyper-Kloosterman sums of different moduli and their applications to automorphic forms for \(\mathrm{SL}_m(\mathbb{Z})\). Zbl 1357.11068
Ren, Xiumin; Ye, Yangbo |
|
2016
|
On Roth’s theorem concerning a cube and three cubes of primes. Zbl 1060.11060
Ren, Xiumin; Tsang, Kai-Man |
|
2004
|
On representation of integers by sums of a cube and three cubes of primes. Zbl 1101.11044
Ren, Xiumin; Tsang, Kai-Man |
|
2005
|
Exceptional set for sums of almost equal prime cubes. Zbl 1479.11174
Ren, Xiumin; Yao, Yanjun |
|
2015
|
On a Waring-Goldbach-type problem for fourth powers. Zbl 1054.11053
Ren, Xiumin; Tsang, Kai-Man |
|
2004
|
Zero-density estimate of \(L\)-functions for cusp forms. Zbl 1441.11117
Ren, Xiumin; Zhang, Wei |
|
2019
|
The major arcs in the ternary Goldbach problem. Zbl 1026.11076
Ren, Xiumin |
|
2003
|
Zero-density estimate of \(L\)-functions for cusp forms. Zbl 1441.11117
Ren, Xiumin; Zhang, Wei |
|
2019
|
Hyper-Kloosterman sums of different moduli and their applications to automorphic forms for \(\mathrm{SL}_m(\mathbb{Z})\). Zbl 1357.11068
Ren, Xiumin; Ye, Yangbo |
|
2016
|
Resonance of automorphic forms for \(\mathrm{GL}(3)\). Zbl 1323.11024
Ren, Xiumin; Ye, Yangbo |
|
2015
|
Resonance and rapid decay of exponential sums of Fourier coefficients of a Maass form for \(\mathrm{GL}_m(\mathbb Z)\). Zbl 1386.11069
Ren, Xiumin; Ye, Yangbo |
|
2015
|
Exceptional set for sums of almost equal prime cubes. Zbl 1479.11174
Ren, Xiumin; Yao, Yanjun |
|
2015
|
Sums of Fourier coefficients of a Maass form for \(\mathrm{SL}_3(\mathbb{Z})\) twisted by exponential functions. Zbl 1360.11070
Ren, Xiumin; Ye, Yangbo |
|
2014
|
Asymptotic Voronoi’s summation formulas and their duality for \(\mathrm{SL}_3(\mathbb Z)\). Zbl 1353.11073
Ren, Xiumin; Ye, Yangbo |
|
2013
|
On exponential sums involving Fourier coefficients of cusp forms. Zbl 1268.11109
Liu, Kui; Ren, Xiumin |
|
2012
|
Resonance between automorphic forms and exponential functions. Zbl 1250.11078
Ren, Xiumin; Ye, Yangbo |
|
2010
|
Waring-Goldbach problem for unlike powers. Zbl 1128.11043
Ren, Xiu Min; Tsang, Kai Man |
|
2007
|
Waring-Goldbach problem for unlike powers. II. Zbl 1121.11312
Ren, Xiumin; Tsang, Kaiman |
|
2007
|
Vinogradov’s exponential sum over primes. Zbl 1152.11038
Ren, Xiumin |
|
2006
|
On exponential sums over primes and application in Waring-Goldbach problem. Zbl 1100.11025
Ren, Xiumin |
|
2005
|
On representation of integers by sums of a cube and three cubes of primes. Zbl 1101.11044
Ren, Xiumin; Tsang, Kai-Man |
|
2005
|
On Roth’s theorem concerning a cube and three cubes of primes. Zbl 1060.11060
Ren, Xiumin; Tsang, Kai-Man |
|
2004
|
On a Waring-Goldbach-type problem for fourth powers. Zbl 1054.11053
Ren, Xiumin; Tsang, Kai-Man |
|
2004
|
Sums of four cubes of primes. Zbl 1100.11033
Ren, Xiumin |
|
2003
|
The major arcs in the ternary Goldbach problem. Zbl 1026.11076
Ren, Xiumin |
|
2003
|
Density of integers that are the sum of four cubes of primes. Zbl 0984.11048
Ren, Xiumin |
|
2001
|
The exceptional set in Roth’s theorem concerning a cube and three cubes of primes. Zbl 0991.11056
Ren, Xiumin |
|
2001
|
The Waring-Goldbach problem for cubes. Zbl 0967.11041
Ren, Xiumin |
|
2000
|
