Edit Profile (opens in new tab) Kawada, Koichi Co-Author Distance Author ID: kawada.koichi Published as: Kawada, Koichi; Kawada, K. Documents Indexed: 41 Publications since 1993 Reviewing Activity: 113 Reviews Co-Authors: 4 Co-Authors with 22 Joint Publications 117 Co-Co-Authors Co-Authors 19 single-authored 17 Wooley, Trevor D. 14 Brüdern, Jörg 1 Deshouillers, Jean-Marc 1 Zhao, Lilu all top 5 Serials 7 RIMS Kokyuroku 4 Acta Arithmetica 4 Tsukuba Journal of Mathematics 3 Mathematika 2 Glasgow Mathematical Journal 2 Proceedings of the London Mathematical Society. Third Series 1 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 1 Archiv der Mathematik 1 Colloquium Mathematicum 1 Commentarii Mathematici Universitatis Sancti Pauli 1 Journal of the London Mathematical Society. Second Series 1 Journal für die Reine und Angewandte Mathematik 1 Mathematica Scandinavica 1 Monatshefte für Mathematik 1 Proceedings of the Japan Academy. Series A 1 Tokyo Journal of Mathematics 1 Acta Mathematica Hungarica 1 Mémoires de la Société Mathématique de France. Nouvelle Série 1 The Quarterly Journal of Mathematics 1 RIMS Kôkyûroku Bessatsu Fields 41 Number theory (11-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 29 Publications have been cited 128 times in 97 Documents Cited by ▼ Year ▼ On the Waring-Goldbach problem for fourth and fifth powers. Zbl 1016.11046Kawada, Koichi; Wooley, Trevor D. 43 2001 Ternary problems in additive prime number theory. Zbl 1028.11062Brüdern, Jörg; Kawada, Koichi 14 2002 Note on the sum of cubes of primes and an almost prime. Zbl 0882.11057Kawada, Koichi 9 1997 Relations between exceptional sets for additive problems. Zbl 1279.11097Kawada, Koichi; Wooley, Trevor D. 8 2010 Additive representation in thin sequences. II: The binary Goldbach problem. Zbl 1023.11053Brüdern, J.; Kawada, K.; Wooley, T. D. 7 2000 Additive representation in thin sequences. VIII: Diophantine inequalities in review. Zbl 1217.11038Brüdern, Jörg; Kawada, Koichi; Wooley, Trevor D. 6 2010 The Waring-Goldbach problem for cubes with an almost prime. Zbl 1443.11208Kawada, Koichi; Zhao, Lilu 4 2019 The prime \(k\)-tuplets in arithmetic progressions. Zbl 0797.11076Kawada, Koichi 3 1993 On the Waring-Goldbach problem for cubes. Zbl 1236.11087Brüdern, Jörg; Kawada, Koichi 3 2009 On the sum of four cubes. Zbl 0879.11051Kawada, Koichi 3 1996 A Montgomery-Hooley type theorem for prime \(k\)-tuplets. Zbl 0869.11069Kawada, K. 2 1995 Davenport’s method and slim exceptional sets: the asymptotic formulae in Waring’s problem. Zbl 1238.11091Kawada, Koichi; Wooley, Trevor D. 2 2010 On sums of seven cubes of almost primes. Zbl 1068.11065Kawada, Koichi 2 2005 On sums of sixteen biquadrates. Zbl 1080.11066Deshouillers, Jean-Marc; Kawada, Koichi; Wooley, Trevor D. 2 2005 The localisation of primes in arithmetic progressions of irrational modulus. Zbl 1247.11117Brüdern, Jörg; Kawada, Koichi 2 2011 The asymptotic formula in Waring’s problem for one square and seventeen fifth powers. Zbl 1223.11120Brüdern, Jörg; Kawada, Koichi 2 2011 Additive representation in thin sequences. V: Mixed problems of Waring’s type. Zbl 1023.11052Brüdern, J.; Kawada, K.; Wooley, T. D. 2 2003 A zero density estimate for Dedekind zeta functions of pure extension fields. Zbl 0924.11094Kawada, Koichi 2 1998 Sums of fourth powers and related topics. Zbl 1005.11046Kawada, Koichi; Wooley, Trevor D. 2 1999 On the asymptotic formula for the number of representations of numbers as the sum of a prime and a \(k\)-th power. Zbl 0799.11041Kawada, Koichi 1 1993 On several additive problems that regard variables as prime numbers. Zbl 1127.11342Kawada, Koichi 1 2002 Additive representation in thin sequences. VIII: Diophantine inequalities in review. Zbl 1325.11033Brüdern, Jörg; Kawada, Koichi; Wooley, Trevor D. 1 2013 Annexe to the gallery: an addendum to “Additive representation in thin sequences. VIII: Diophantine inequalities in review”. Zbl 1362.11047Brüdern, Jörg; Kawada, Koichi; Wooley, Trevor D. 1 2013 Additive representation in thin sequences. VII: Restricted moments of the number of representations. Zbl 1183.11059Brüdern, Jörg; Kawada, Koichi; Wooley, Trevor D. 1 2008 On the sum of four cubes and a product of \(k\) factors. Zbl 0866.11055Kawada, Koichi 1 1996 Additive representation in thin sequences. IV: Lower bound methods. Zbl 1037.11062Brüdern, J.; Kawada, K.; Wooley, T. D. 1 2001 Slim exceptional sets for sums of fourth and fifth powers. Zbl 1004.11053Kawada, Koichi; Wooley, Trevor D. 1 2002 Additive representation in thin sequences. III: Asymptotic formulae. Zbl 0995.11055Brüdern, J.; Kawada, K.; Wooley, T. D. 1 2001 On the representation of numbers as the sum of a prime and a \(k\)th power. Zbl 1029.11502Kawada, Koichi 1 1993 The Waring-Goldbach problem for cubes with an almost prime. Zbl 1443.11208Kawada, Koichi; Zhao, Lilu 4 2019 Additive representation in thin sequences. VIII: Diophantine inequalities in review. Zbl 1325.11033Brüdern, Jörg; Kawada, Koichi; Wooley, Trevor D. 1 2013 Annexe to the gallery: an addendum to “Additive representation in thin sequences. VIII: Diophantine inequalities in review”. Zbl 1362.11047Brüdern, Jörg; Kawada, Koichi; Wooley, Trevor D. 1 2013 The localisation of primes in arithmetic progressions of irrational modulus. Zbl 1247.11117Brüdern, Jörg; Kawada, Koichi 2 2011 The asymptotic formula in Waring’s problem for one square and seventeen fifth powers. Zbl 1223.11120Brüdern, Jörg; Kawada, Koichi 2 2011 Relations between exceptional sets for additive problems. Zbl 1279.11097Kawada, Koichi; Wooley, Trevor D. 8 2010 Additive representation in thin sequences. VIII: Diophantine inequalities in review. Zbl 1217.11038Brüdern, Jörg; Kawada, Koichi; Wooley, Trevor D. 6 2010 Davenport’s method and slim exceptional sets: the asymptotic formulae in Waring’s problem. Zbl 1238.11091Kawada, Koichi; Wooley, Trevor D. 2 2010 On the Waring-Goldbach problem for cubes. Zbl 1236.11087Brüdern, Jörg; Kawada, Koichi 3 2009 Additive representation in thin sequences. VII: Restricted moments of the number of representations. Zbl 1183.11059Brüdern, Jörg; Kawada, Koichi; Wooley, Trevor D. 1 2008 On sums of seven cubes of almost primes. Zbl 1068.11065Kawada, Koichi 2 2005 On sums of sixteen biquadrates. Zbl 1080.11066Deshouillers, Jean-Marc; Kawada, Koichi; Wooley, Trevor D. 2 2005 Additive representation in thin sequences. V: Mixed problems of Waring’s type. Zbl 1023.11052Brüdern, J.; Kawada, K.; Wooley, T. D. 2 2003 Ternary problems in additive prime number theory. Zbl 1028.11062Brüdern, Jörg; Kawada, Koichi 14 2002 On several additive problems that regard variables as prime numbers. Zbl 1127.11342Kawada, Koichi 1 2002 Slim exceptional sets for sums of fourth and fifth powers. Zbl 1004.11053Kawada, Koichi; Wooley, Trevor D. 1 2002 On the Waring-Goldbach problem for fourth and fifth powers. Zbl 1016.11046Kawada, Koichi; Wooley, Trevor D. 43 2001 Additive representation in thin sequences. IV: Lower bound methods. Zbl 1037.11062Brüdern, J.; Kawada, K.; Wooley, T. D. 1 2001 Additive representation in thin sequences. III: Asymptotic formulae. Zbl 0995.11055Brüdern, J.; Kawada, K.; Wooley, T. D. 1 2001 Additive representation in thin sequences. II: The binary Goldbach problem. Zbl 1023.11053Brüdern, J.; Kawada, K.; Wooley, T. D. 7 2000 Sums of fourth powers and related topics. Zbl 1005.11046Kawada, Koichi; Wooley, Trevor D. 2 1999 A zero density estimate for Dedekind zeta functions of pure extension fields. Zbl 0924.11094Kawada, Koichi 2 1998 Note on the sum of cubes of primes and an almost prime. Zbl 0882.11057Kawada, Koichi 9 1997 On the sum of four cubes. Zbl 0879.11051Kawada, Koichi 3 1996 On the sum of four cubes and a product of \(k\) factors. Zbl 0866.11055Kawada, Koichi 1 1996 A Montgomery-Hooley type theorem for prime \(k\)-tuplets. Zbl 0869.11069Kawada, K. 2 1995 The prime \(k\)-tuplets in arithmetic progressions. Zbl 0797.11076Kawada, Koichi 3 1993 On the asymptotic formula for the number of representations of numbers as the sum of a prime and a \(k\)-th power. Zbl 0799.11041Kawada, Koichi 1 1993 On the representation of numbers as the sum of a prime and a \(k\)th power. Zbl 1029.11502Kawada, Koichi 1 1993 all cited Publications top 5 cited Publications all top 5 Cited by 79 Authors 11 Wooley, Trevor D. 8 Brüdern, Jörg 7 Zhao, Lilu 6 Liu, Zhixin 5 Cai, Yingchun 5 Kawada, Koichi 5 Kumchev, Angel V. 5 Tsang, Kai-Man 4 Byeon, Dongho 4 Ren, Xiumin 4 Zhu, Li 3 Ge, Wenxu 3 Harman, Glyn 3 Li, Jinjiang 3 Liu, Jianya 3 Zhang, Min 2 Car, Mireille 2 Dietmann, Rainer 2 Feng, Zhenzhen 2 Harvey, M. P. 2 Jeong, Keunyoung 2 Li, Wei Ping 2 Liu, Yuhui 2 Lü, Xiaodong 2 Yao, Yanjun 1 Aistleitner, Christoph 1 Balog, Antal 1 Bauer, Claus 1 Buttcane, Jack 1 Chen, Gongrui 1 Chen, Mei 1 Ching, Tak Wing 1 Cui, Lu 1 de la Bretèche, Régis 1 Drappeau, Sary 1 El-Baz, Daniel 1 Elsholtz, Christian 1 Fiorilli, Daniel 1 Friedlander, John Benjamin 1 Gafni, Ayla 1 Gallardo, Luis Henri 1 Halupczok, Karin 1 Huang, Bingrong 1 Kim, Nayoung 1 Lai, Kai 1 Lapkova, Kostadinka 1 Lee, Shinae 1 Li, Taiyu 1 Li, Yingjie 1 Liu, Huake 1 Ma, Jing 1 Ma, Minghui 1 Maier, Helmut 1 Matomäki, Kaisa Sofia 1 Mu, Jiani 1 Mu, Quanwu 1 Munsch, Marc 1 Ono, Ken 1 Pliego, Javier 1 Poulias, Constantinos 1 Radziwiłł, Maksym 1 Sankaranarayanan, Ayyadurai 1 Shao, Xuancheng 1 Sofos, Efthymios 1 Su, Baiyun 1 Suzuki, Yuta 1 Tao, Terence 1 Vaughan, Robert C. 1 Wang, Mengdi 1 Wang, Yuchao 1 Wang, Yunhan 1 Wei, Bin 1 Yu, Gang 1 Zhang, Meng 1 Zhang, Rui 1 Zhang, Wei 1 Zhao, Feng 1 Zhao, Yuetong 1 Zhou, Nian Hong all top 5 Cited in 38 Serials 13 Journal of Number Theory 7 Mathematika 6 Rocky Mountain Journal of Mathematics 6 International Journal of Number Theory 4 Mathematische Zeitschrift 4 Journal de Théorie des Nombres de Bordeaux 4 Journal of Inequalities and Applications 3 Acta Arithmetica 3 Glasgow Mathematical Journal 3 Proceedings of the Japan Academy. Series A 3 Proceedings of the London Mathematical Society. Third Series 3 Acta Mathematica Hungarica 3 The Ramanujan Journal 2 Lithuanian Mathematical Journal 2 Functiones et Approximatio. Commentarii Mathematici 2 Journal für die Reine und Angewandte Mathematik 2 Michigan Mathematical Journal 2 Nagoya Mathematical Journal 2 Taiwanese Journal of Mathematics 2 Frontiers of Mathematics in China 1 Bulletin of the Australian Mathematical Society 1 Israel Journal of Mathematics 1 Advances in Mathematics 1 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 1 Duke Mathematical Journal 1 Inventiones Mathematicae 1 Journal of the London Mathematical Society. Second Series 1 Manuscripta Mathematica 1 Monatshefte für Mathematik 1 Chinese Annals of Mathematics. Series B 1 Forum Mathematicum 1 IMRN. International Mathematics Research Notices 1 Geometric and Functional Analysis. GAFA 1 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 1 Journal of the European Mathematical Society (JEMS) 1 Acta Mathematica Sinica. English Series 1 Proceedings of the Steklov Institute of Mathematics 1 Science China. Mathematics Cited in 3 Fields 97 Number theory (11-XX) 1 Algebraic geometry (14-XX) 1 Measure and integration (28-XX) Citations by Year