Edit Profile (opens in new tab) Ren, Xiumin Compute Distance To: Compute Author ID: ren.xiumin Published as: Ren, Xiumin; Ren, Xiu Min Further Spellings: 任秀敏 Homepage: http://www.prime.sdu.edu.cn/info/1023/1153.htm Documents Indexed: 24 Publications since 1993 Co-Authors: 5 Co-Authors with 16 Joint Publications 66 Co-Co-Authors Co-Authors 8 single-authored 6 Ye, Yangbo 5 Tsang, Kai-Man 3 Zhang, Wei 1 Liu, Kui 1 Yao, Yanjun all top 5 Serials 4 Journal of Number Theory 2 Acta Arithmetica 2 The Quarterly Journal of Mathematics 2 Science China. Mathematics 1 Bulletin of the Australian Mathematical Society 1 Michigan Mathematical Journal 1 Transactions of the American Mathematical Society 1 Numerical Mathematics 1 Chinese Annals of Mathematics. Series B 1 Acta Mathematica Hungarica 1 Forum Mathematicum 1 Science in China. Series A 1 The Ramanujan Journal 1 Taiwanese Journal of Mathematics 1 Acta Mathematica Sinica. English Series 1 Acta Mathematica Sinica. Chinese Series 1 Scientia Sinica. Mathematica Fields 23 Number theory (11-XX) 1 Ordinary differential equations (34-XX) 1 Operator theory (47-XX) 1 Numerical analysis (65-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 21 Publications have been cited 153 times in 93 Documents Cited by ▼ Year ▼ On exponential sums over primes and application in Waring-Goldbach problem. Zbl 1100.11025Ren, Xiumin 25 2005 Resonance between automorphic forms and exponential functions. Zbl 1250.11078Ren, Xiumin; Ye, Yangbo 17 2010 Sums of four cubes of primes. Zbl 1100.11033Ren, Xiumin 13 2003 Sums of Fourier coefficients of a Maass form for \(\mathrm{SL}_3(\mathbb{Z})\) twisted by exponential functions. Zbl 1360.11070Ren, Xiumin; Ye, Yangbo 12 2014 Resonance and rapid decay of exponential sums of Fourier coefficients of a Maass form for \(\mathrm{GL}_m(\mathbb Z)\). Zbl 1386.11069Ren, Xiumin; Ye, Yangbo 9 2015 Vinogradov’s exponential sum over primes. Zbl 1152.11038Ren, Xiumin 9 2006 Resonance of automorphic forms for \(\mathrm{GL}(3)\). Zbl 1323.11024Ren, Xiumin; Ye, Yangbo 9 2015 The Waring-Goldbach problem for cubes. Zbl 0967.11041Ren, Xiumin 8 2000 Waring-Goldbach problem for unlike powers. Zbl 1128.11043Ren, Xiu Min; Tsang, Kai Man 7 2007 Density of integers that are the sum of four cubes of primes. Zbl 0984.11048Ren, Xiumin 7 2001 Asymptotic Voronoi’s summation formulas and their duality for \(\mathrm{SL}_3(\mathbb Z)\). Zbl 1353.11073Ren, Xiumin; Ye, Yangbo 6 2013 On exponential sums involving Fourier coefficients of cusp forms. Zbl 1268.11109Liu, Kui; Ren, Xiumin 6 2012 The exceptional set in Roth’s theorem concerning a cube and three cubes of primes. Zbl 0991.11056Ren, Xiumin 6 2001 Waring-Goldbach problem for unlike powers. II. Zbl 1121.11312Ren, Xiumin; Tsang, Kaiman 6 2007 Hyper-Kloosterman sums of different moduli and their applications to automorphic forms for \(\mathrm{SL}_m(\mathbb{Z})\). Zbl 1357.11068Ren, Xiumin; Ye, Yangbo 4 2016 On Roth’s theorem concerning a cube and three cubes of primes. Zbl 1060.11060Ren, Xiumin; Tsang, Kai-Man 3 2004 On representation of integers by sums of a cube and three cubes of primes. Zbl 1101.11044Ren, Xiumin; Tsang, Kai-Man 2 2005 Zero-density estimate of \(L\)-functions for cusp forms. Zbl 1441.11117Ren, Xiumin; Zhang, Wei 1 2019 The major arcs in the ternary Goldbach problem. Zbl 1026.11076Ren, Xiumin 1 2003 On a Waring-Goldbach-type problem for fourth powers. Zbl 1054.11053Ren, Xiumin; Tsang, Kai-Man 1 2004 Exceptional set for sums of almost equal prime cubes. Zbl 1479.11174Ren, Xiumin; Yao, Yanjun 1 2015 Zero-density estimate of \(L\)-functions for cusp forms. Zbl 1441.11117Ren, Xiumin; Zhang, Wei 1 2019 Hyper-Kloosterman sums of different moduli and their applications to automorphic forms for \(\mathrm{SL}_m(\mathbb{Z})\). Zbl 1357.11068Ren, Xiumin; Ye, Yangbo 4 2016 Resonance and rapid decay of exponential sums of Fourier coefficients of a Maass form for \(\mathrm{GL}_m(\mathbb Z)\). Zbl 1386.11069Ren, Xiumin; Ye, Yangbo 9 2015 Resonance of automorphic forms for \(\mathrm{GL}(3)\). Zbl 1323.11024Ren, Xiumin; Ye, Yangbo 9 2015 Exceptional set for sums of almost equal prime cubes. Zbl 1479.11174Ren, Xiumin; Yao, Yanjun 1 2015 Sums of Fourier coefficients of a Maass form for \(\mathrm{SL}_3(\mathbb{Z})\) twisted by exponential functions. Zbl 1360.11070Ren, Xiumin; Ye, Yangbo 12 2014 Asymptotic Voronoi’s summation formulas and their duality for \(\mathrm{SL}_3(\mathbb Z)\). Zbl 1353.11073Ren, Xiumin; Ye, Yangbo 6 2013 On exponential sums involving Fourier coefficients of cusp forms. Zbl 1268.11109Liu, Kui; Ren, Xiumin 6 2012 Resonance between automorphic forms and exponential functions. Zbl 1250.11078Ren, Xiumin; Ye, Yangbo 17 2010 Waring-Goldbach problem for unlike powers. Zbl 1128.11043Ren, Xiu Min; Tsang, Kai Man 7 2007 Waring-Goldbach problem for unlike powers. II. Zbl 1121.11312Ren, Xiumin; Tsang, Kaiman 6 2007 Vinogradov’s exponential sum over primes. Zbl 1152.11038Ren, Xiumin 9 2006 On exponential sums over primes and application in Waring-Goldbach problem. Zbl 1100.11025Ren, Xiumin 25 2005 On representation of integers by sums of a cube and three cubes of primes. Zbl 1101.11044Ren, Xiumin; Tsang, Kai-Man 2 2005 On Roth’s theorem concerning a cube and three cubes of primes. Zbl 1060.11060Ren, Xiumin; Tsang, Kai-Man 3 2004 On a Waring-Goldbach-type problem for fourth powers. Zbl 1054.11053Ren, Xiumin; Tsang, Kai-Man 1 2004 Sums of four cubes of primes. Zbl 1100.11033Ren, Xiumin 13 2003 The major arcs in the ternary Goldbach problem. Zbl 1026.11076Ren, Xiumin 1 2003 Density of integers that are the sum of four cubes of primes. Zbl 0984.11048Ren, Xiumin 7 2001 The exceptional set in Roth’s theorem concerning a cube and three cubes of primes. Zbl 0991.11056Ren, Xiumin 6 2001 The Waring-Goldbach problem for cubes. Zbl 0967.11041Ren, Xiumin 8 2000 all cited Publications top 5 cited Publications all top 5 Cited by 71 Authors 13 Liu, Zhixin 11 Lu, Guangshi 7 Ren, Xiumin 7 Ye, Yangbo 5 Zhao, Lilu 4 Hou, Fei 4 Jiang, Yujiao 4 Liu, Jianya 4 Sun, Qingfeng 3 Sun, Haiwei 3 Tsang, Kai-Man 3 Zhang, Rui 2 Bauer, Claus 2 Feng, Zhenzhen 2 Ge, Wenxu 2 He, Xiaoguang 2 Hu, Guangwei 2 Jääsaari, Jesse 2 Kumchev, Angel V. 2 Li, Jinjiang 2 Liu, Huan 2 Liu, Yuhui 2 Mu, Quanwu 2 Vesalainen, Esa V. 2 Zhan, Tao 2 Zhang, Min 2 Zhang, Wei 2 Zhao, Xiaodong 1 Cai, Yingchun 1 Ching, Tak Wing 1 Cui, Zhen 1 Czarnecki, Kyle 1 Ernvall-Hytönen, Anne-Maria 1 Feng, Zhao 1 Gao, Gaiyun 1 Gao, Zhipeng 1 Gillespie, Timothy L. 1 Godber, Daniel 1 Hoffman, John W. 1 Hu, Weiwei 1 Huang, Bingrong 1 Kumar, Sumit 1 Lao, Huixue 1 Li, Hongze 1 Li, Taiyu 1 Liu, Huafeng 1 Liu, Kui 1 Luo, Wenzhi 1 Ma, Jing 1 Mallesham, Kummari 1 McKee, Mark 1 Meng, Xianmeng 1 Pi, Qinghua 1 Platt, David John 1 Salazar, Nathan 1 Samanta, Praneel 1 Savala, Paul 1 Shubin, Andrei V. 1 Singh, Saurabh Kumar 1 Trudgian, Timothy S. 1 Wang, Hui 1 Wei, Bin 1 Wu, Yuanying 1 Xi, Liyan 1 Yamagishi, Shuntaro 1 Yan, Xiaofei 1 Yao, Yanjun 1 Yu, Gang 1 Zhao, Feng 1 Zhao, Wenjia 1 Zhu, Li all top 5 Cited in 30 Serials 22 Journal of Number Theory 9 Frontiers of Mathematics in China 6 Acta Mathematica Sinica. English Series 6 International Journal of Number Theory 5 The Ramanujan Journal 4 Monatshefte für Mathematik 4 Acta Mathematica Hungarica 3 Rocky Mountain Journal of Mathematics 3 Functiones et Approximatio. Commentarii Mathematici 3 Michigan Mathematical Journal 2 Bulletin of the Australian Mathematical Society 2 Lithuanian Mathematical Journal 2 Mathematical Notes 2 Acta Arithmetica 2 Mathematische Zeitschrift 2 Proceedings of the American Mathematical Society 2 Transactions of the American Mathematical Society 2 Science China. Mathematics 1 Canadian Journal of Mathematics 1 Duke Mathematical Journal 1 Mathematika 1 Proceedings of the London Mathematical Society. Third Series 1 Acta Applicandae Mathematicae 1 Forum Mathematicum 1 Science in China. Series A 1 Taiwanese Journal of Mathematics 1 Central European Journal of Mathematics 1 Proceedings of the Steklov Institute of Mathematics 1 Journal of Mathematics 1 Open Mathematics Cited in 2 Fields 93 Number theory (11-XX) 1 Approximations and expansions (41-XX) Citations by Year