Edit Profile Kubota, Tomio Compute Distance To: Compute Author ID: kubota.tomio Published as: Kubota, T.; Kubota, Tomio External Links: Wikidata · GND Documents Indexed: 57 Publications since 1950, including 4 Books all top 5 Co-Authors 50 single-authored 2 Oka, Satomi 1 Abe, Yoshibumi 1 Furuta, Yoshiomi 1 Hadano, Toshihiro 1 Kitaoka, Yoshiyuki 1 Leopoldt, Heinrich-Wolfgang 1 Nozaki, Michihiro 1 Yoneguchi, Hajimu 1 Yoshida, Mariko all top 5 Serials 15 Nagoya Mathematical Journal 5 Journal für die Reine und Angewandte Mathematik 3 Journal of the Mathematical Society of Japan 3 Reports of the Faculty of Science and Technology. Meijo University 3 Research Reports of the Faculty of Science and Technology. Meijo University 1 Acta Arithmetica 1 Journal of the Faculty of Science. Section I A 1 Japanese Journal of Mathematics. New Series 1 Mathematische Zeitschrift 1 Transactions of the American Mathematical Society 1 Sūgaku 1 Journal of the Ramanujan Mathematical Society 1 Sugaku Expositions 1 JP Journal of Algebra, Number Theory and Applications 1 Bulletin of the American Mathematical Society 1 Kodai Mathematical Seminar Reports 1 Advanced Studies in Pure Mathematics 1 RIMS Kôkyûroku Bessatsu all top 5 Fields 38 Number theory (11-XX) 3 Topological groups, Lie groups (22-XX) 2 Field theory and polynomials (12-XX) 2 Algebraic geometry (14-XX) 2 Special functions (33-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Abstract harmonic analysis (43-XX) 1 General and overarching topics; collections (00-XX) 1 Group theory and generalizations (20-XX) 1 Real functions (26-XX) 1 Functions of a complex variable (30-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH 32 Publications have been cited 407 times in 363 Documents Cited by ▼ Year ▼ Elementary theory of Eisenstein series. Zbl 0268.10012Kubota, Tomio 115 1973 Eine \(p\)-adische Theorie der Zetawerte. I: Einführung der \(p\)-adischen Dirichletschen \(L\)-Funktionen. Zbl 0186.09103Kubota, Tomio; Leopoldt, H. W. 56 1964 Über den bizyklischen biquadratischen Zahlkörper. Zbl 0074.03001Kubota, Tomio 54 1956 On automorphic functions and the reciprocity law in a number field. Zbl 0231.10017Kubota, Tomio 53 1969 Topological covering of SL(2) over a local field. Zbl 0166.29603Kubota, Tomio 19 1967 Über die Beziehung der Klassenzahlen der Unterkörper des bizyklischen biquadratischen Zahlkörpers. Zbl 0053.21902Kubota, Tomio 18 1953 On the field extension by complex multiplication. Zbl 0146.27902Kubota, Tomio 13 1965 Galois group of the maximal abelian extension over an algebraic number field. Zbl 0079.26803Kubota, Tomio 11 1957 Über diskontinuierliche Gruppen Picardschen Typus und zugehörige Eisensteinsche Reihen. Zbl 0159.31303Kubota, Tomio 9 1968 Ein arithmetischer Satz über eine Matrizengruppe. Zbl 0149.28602Kubota, Tomio 9 1966 Reciprocities in Gauss’ and Eisenstein’s number fields. Zbl 0202.33302Kubota, Tomio 8 1961 On a classical theta-function. Zbl 0192.39602Kubota, Tomio 5 1970 An application of the power residue theory of some abelian functions. Zbl 0168.29601Kubota, Tomio 5 1966 Some arithmetical applications of an elliptic function. Zbl 0146.27901Kubota, Tomio 5 1964 On a special kind of Dirichlet series. Zbl 0157.10202Kubota, Tomio 3 1968 Densities of sets of primes related to decimal expansion of rational numbers. Zbl 1197.11088Hadano, Toshihiro; Kitaoka, Yoshiyuki; Kubota, Tomio; Nozaki, Michihiro 2 2006 On an analogy to the Poisson summation formula for generalized Fourier transformation. Zbl 0286.12007Kubota, Tomio 2 1974 Two kinds of special functions related to the reciprocity law. Zbl 0231.12015Kubota, Tomio 2 1972 Notes on analytic theory of numbers. Zbl 0344.12001Kubota, Tomio 2 1963 Über eine Verallgemeinerung der Reziprozität der Gaußschen Summen. Zbl 0201.37503Kubota, Tomio 2 1963 Anwendung Jacobischer Thetafunktionen auf die Potenzreste. Zbl 0104.03801Kubota, Tomio 2 1961 Some properties of a set of points in Euclidean space. Zbl 0045.25502Abe, Yoshibumi; Kubota, Tomio; Yoneguchi, Hajimu 2 1950 A note on the congruent distribution of the number of prime factors of natural numbers. Zbl 0986.11066Kubota, Tomio; Yoshida, Mariko 1 2001 Central extensions and rational quadratic forms. Zbl 0771.11040Furuta, Yoshiomi; Kubota, Tomio 1 1993 Foundations of class field theory through properties of space figures. Zbl 0760.11034Kubota, Tomio 1 1992 Geometry of numbers and class field theory. Zbl 0639.12004Kubota, Tomio 1 1987 A complex Airy integral. Zbl 0326.33007Kubota, Tomio 1 1976 Some results concerning reciprocity and functional analysis. Zbl 0275.12006Kubota, Tomio 1 1971 Some results concerning reciprocity law and real analytic automorphic functions. Zbl 0215.36103Kubota, Tomio 1 1971 On automorphic functions and the reciprocity law in a number field. Zbl 0278.10025Kubota, Tomio 1 1970 Über quadratische Charaktersummen. Zbl 0107.03601Kubota, Tomio 1 1961 A note on units of algebraic number fields. Zbl 0066.02701Kubota, Tomio 1 1955 Densities of sets of primes related to decimal expansion of rational numbers. Zbl 1197.11088Hadano, Toshihiro; Kitaoka, Yoshiyuki; Kubota, Tomio; Nozaki, Michihiro 2 2006 A note on the congruent distribution of the number of prime factors of natural numbers. Zbl 0986.11066Kubota, Tomio; Yoshida, Mariko 1 2001 Central extensions and rational quadratic forms. Zbl 0771.11040Furuta, Yoshiomi; Kubota, Tomio 1 1993 Foundations of class field theory through properties of space figures. Zbl 0760.11034Kubota, Tomio 1 1992 Geometry of numbers and class field theory. Zbl 0639.12004Kubota, Tomio 1 1987 A complex Airy integral. Zbl 0326.33007Kubota, Tomio 1 1976 On an analogy to the Poisson summation formula for generalized Fourier transformation. Zbl 0286.12007Kubota, Tomio 2 1974 Elementary theory of Eisenstein series. Zbl 0268.10012Kubota, Tomio 115 1973 Two kinds of special functions related to the reciprocity law. Zbl 0231.12015Kubota, Tomio 2 1972 Some results concerning reciprocity and functional analysis. Zbl 0275.12006Kubota, Tomio 1 1971 Some results concerning reciprocity law and real analytic automorphic functions. Zbl 0215.36103Kubota, Tomio 1 1971 On a classical theta-function. Zbl 0192.39602Kubota, Tomio 5 1970 On automorphic functions and the reciprocity law in a number field. Zbl 0278.10025Kubota, Tomio 1 1970 On automorphic functions and the reciprocity law in a number field. Zbl 0231.10017Kubota, Tomio 53 1969 Über diskontinuierliche Gruppen Picardschen Typus und zugehörige Eisensteinsche Reihen. Zbl 0159.31303Kubota, Tomio 9 1968 On a special kind of Dirichlet series. Zbl 0157.10202Kubota, Tomio 3 1968 Topological covering of SL(2) over a local field. Zbl 0166.29603Kubota, Tomio 19 1967 Ein arithmetischer Satz über eine Matrizengruppe. Zbl 0149.28602Kubota, Tomio 9 1966 An application of the power residue theory of some abelian functions. Zbl 0168.29601Kubota, Tomio 5 1966 On the field extension by complex multiplication. Zbl 0146.27902Kubota, Tomio 13 1965 Eine \(p\)-adische Theorie der Zetawerte. I: Einführung der \(p\)-adischen Dirichletschen \(L\)-Funktionen. Zbl 0186.09103Kubota, Tomio; Leopoldt, H. W. 56 1964 Some arithmetical applications of an elliptic function. Zbl 0146.27901Kubota, Tomio 5 1964 Notes on analytic theory of numbers. Zbl 0344.12001Kubota, Tomio 2 1963 Über eine Verallgemeinerung der Reziprozität der Gaußschen Summen. Zbl 0201.37503Kubota, Tomio 2 1963 Reciprocities in Gauss’ and Eisenstein’s number fields. Zbl 0202.33302Kubota, Tomio 8 1961 Anwendung Jacobischer Thetafunktionen auf die Potenzreste. Zbl 0104.03801Kubota, Tomio 2 1961 Über quadratische Charaktersummen. Zbl 0107.03601Kubota, Tomio 1 1961 Galois group of the maximal abelian extension over an algebraic number field. Zbl 0079.26803Kubota, Tomio 11 1957 Über den bizyklischen biquadratischen Zahlkörper. Zbl 0074.03001Kubota, Tomio 54 1956 A note on units of algebraic number fields. Zbl 0066.02701Kubota, Tomio 1 1955 Über die Beziehung der Klassenzahlen der Unterkörper des bizyklischen biquadratischen Zahlkörpers. Zbl 0053.21902Kubota, Tomio 18 1953 Some properties of a set of points in Euclidean space. Zbl 0045.25502Abe, Yoshibumi; Kubota, Tomio; Yoneguchi, Hajimu 2 1950 all cited Publications top 5 cited Publications all top 5 Cited by 352 Authors 9 Azizi, Abdelmalek 9 Benjamin, Elliot 7 Proskurin, Nikolaĭ Vital’evich 6 Bump, Daniel 6 Friedberg, Solomon 6 Jorgenson, Jay Alan 6 Panchishkin, Alexei A. 6 Sarnak, Peter Clive 6 Simsek, Yilmaz 6 Snyder, Chip 5 Brubaker, Ben 5 Gras, Georges 5 Hoffstein, Jeffrey 5 Patterson, Samuel James 5 Phillips, Ralph Saul 5 Szpruch, Dani 4 Cassou-Noguès, Pierrette 4 Good, Anton 4 Kubota, Tomio 4 Taous, Mohammed 3 Berg, Michael C. 3 Christian, Ulrich 3 Gelbart, Stephen S. 3 Kaplan, Eyal 3 Kida, Masanari 3 Kitaoka, Yoshiyuki 3 Kwon, Soun-Hi 3 Lang, Serge 3 Moreno, Carlos Julio 3 Mouhib, Ali 3 Parry, Charles J. 3 Patel, Shiv Prakash 3 Smit, Harry 3 Venkov, Alexei Borisovich 3 Volkenborn, Arnt 3 Wei, Fu-Tsun 3 Zekhnini, Abdelkader 2 Arakawa, Tsuneo 2 Boxall, John L. 2 Bruggeman, Roelof Wichert 2 Cenkci, Mehmet 2 Chang, Ku-Young 2 Chuang, Chih-Yun 2 Colin de Verdière, Yves 2 Cornelissen, Gunther 2 Fomenko, Oleg Mstislavovich 2 Fresnel, Jean 2 Goldstein, Larry Joel 2 Hafner, James Lee 2 Hazama, Fumio 2 Hill, Richard Michael 2 Hirabayashi, Mikihito 2 Kim, Minsoo 2 Kohnen, Winfried 2 Kuznetsov, Nikolai Vasilevich 2 Lagarias, Jeffrey C. 2 Lario, Joan-Carles 2 Lemmermeyer, Franz Josef 2 Li, Wen-Ch’ing Winnie 2 Li, Xin 2 Louboutin, Stéphane R. 2 Louvel, Benoît 2 Marcolli, Matilde 2 Matthews, Charles Russell 2 Miki, Hiroo 2 Mizusawa, Yasushi 2 Obitsu, Kunio 2 Payan, Jean-Jacques 2 Piatetski-Shapiro, Ilya 2 Reznikov, Andre 2 Sczech, Robert 2 Serre, Jean-Pierre 2 Sumida-Takahashi, Hiroki 2 Takeda, Shuichiro 2 Unterberger, André 2 Veech, William Austin 2 von Pippich, Anna-Maria 2 Watabe, Mutsuo 2 Yang, Lei 2 Ye, Dongxi 2 Yoshino, Ken-ichi 2 Young, Paul Thomas 1 Abbes, Ahmed 1 Adrian, Moshe 1 Akiyama, Shigeki 1 Alekseev, Anton Yu. 1 Alexandru, Victor 1 All, Timothy 1 Anderson, Greg W. 1 Andrianov, Anatoliĭ Nikolaevich 1 Aoki, Noboru 1 Aref’eva, Irina Yaroslavna 1 Asai, Tetsuya 1 Asai, Tetsya 1 Balasubramanian, Kumar 1 Banaszak, Grzegorz 1 Barner, Klaus 1 Bass, Hyman 1 Bauch, Jens-Dietrich 1 Bayad, Abdelmejid ...and 252 more Authors all top 5 Cited in 97 Serials 41 Journal of Number Theory 25 Inventiones Mathematicae 18 Journal of Soviet Mathematics 14 Annales de l’Institut Fourier 14 Mathematische Annalen 14 Nagoya Mathematical Journal 13 Manuscripta Mathematica 11 Transactions of the American Mathematical Society 10 Duke Mathematical Journal 10 Mathematische Zeitschrift 8 Mathematics of Computation 8 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg 8 International Journal of Number Theory 7 Proceedings of the American Mathematical Society 5 Proceedings of the Japan Academy. Series A 5 Forum Mathematicum 5 Journal de Théorie des Nombres de Bordeaux 5 The Ramanujan Journal 4 Israel Journal of Mathematics 4 Journal of Algebra 4 Tohoku Mathematical Journal. Second Series 4 Geometric and Functional Analysis. GAFA 4 Mémoires de la Société Mathématique de France. Nouvelle Série 4 Journal of Mathematical Sciences (New York) 4 Bulletin de la Société Mathématique de France. Supplément. Mémoires 3 Communications in Mathematical Physics 3 Acta Arithmetica 3 Advances in Mathematics 3 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 3 Publications Mathématiques 3 Journal of Functional Analysis 3 Journal of Pure and Applied Algebra 3 Monatshefte für Mathematik 3 Bulletin of the American Mathematical Society. New Series 3 Selecta Mathematica. New Series 2 Communications on Pure and Applied Mathematics 2 Mathematical Proceedings of the Cambridge Philosophical Society 2 Rocky Mountain Journal of Mathematics 2 Archiv der Mathematik 2 Bulletin de la Société Mathématique de France 2 Compositio Mathematica 2 Glasgow Mathematical Journal 2 International Journal of Mathematics and Mathematical Sciences 2 Mathematische Nachrichten 2 Mathematika 2 Results in Mathematics 2 Tokyo Journal of Mathematics 2 Acta Mathematica Hungarica 2 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 2 Expositiones Mathematicae 2 Journal of High Energy Physics 2 Annales Mathématiques du Québec 2 Research in the Mathematical Sciences 1 Communications in Algebra 1 Computers & Mathematics with Applications 1 Discrete Mathematics 1 Nuclear Physics. B 1 Russian Mathematical Surveys 1 Ukrainian Mathematical Journal 1 Arkiv för Matematik 1 Journal of Geometry and Physics 1 Acta Mathematica 1 Acta Mathematica Vietnamica 1 Applied Mathematics and Computation 1 Cahiers de Topologie et Géométrie Différentielle Catégoriques 1 Functional Analysis and its Applications 1 Fuzzy Sets and Systems 1 Journal für die Reine und Angewandte Mathematik 1 Memoirs of the American Mathematical Society 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Pacific Journal of Mathematics 1 Publications of the Research Institute for Mathematical Sciences, Kyoto University 1 Rendiconti del Circolo Matemàtico di Palermo. Serie II 1 Annals of Global Analysis and Geometry 1 Journal of the American Mathematical Society 1 International Journal of Mathematics 1 Communications in Partial Differential Equations 1 Acta Mathematica Sinica. New Series 1 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 1 Russian Journal of Mathematical Physics 1 St. Petersburg Mathematical Journal 1 Annales Mathématiques Blaise Pascal 1 Turkish Journal of Mathematics 1 Journal of Lie Theory 1 The Journal of Fourier Analysis and Applications 1 Representation Theory 1 Annals of Mathematics. Second Series 1 Acta Mathematica Sinica. English Series 1 Integers 1 Journal of the Institute of Mathematics of Jussieu 1 Sarajevo Journal of Mathematics 1 Bulletin of the American Mathematical Society 1 Asian-European Journal of Mathematics 1 \(p\)-Adic Numbers, Ultrametric Analysis, and Applications 1 Journal of Spectral Theory 1 Journal of Applied Mathematics & Informatics 1 Research in Number Theory all top 5 Cited in 34 Fields 324 Number theory (11-XX) 34 Algebraic geometry (14-XX) 34 Topological groups, Lie groups (22-XX) 28 Functions of a complex variable (30-XX) 17 Group theory and generalizations (20-XX) 17 Global analysis, analysis on manifolds (58-XX) 16 Partial differential equations (35-XX) 9 Field theory and polynomials (12-XX) 9 Differential geometry (53-XX) 9 Quantum theory (81-XX) 6 Associative rings and algebras (16-XX) 6 Abstract harmonic analysis (43-XX) 5 Several complex variables and analytic spaces (32-XX) 4 Category theory; homological algebra (18-XX) 4 Dynamical systems and ergodic theory (37-XX) 4 Operator theory (47-XX) 3 Commutative algebra (13-XX) 3 \(K\)-theory (19-XX) 3 Special functions (33-XX) 3 Functional analysis (46-XX) 3 Relativity and gravitational theory (83-XX) 2 Combinatorics (05-XX) 2 Nonassociative rings and algebras (17-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Statistical mechanics, structure of matter (82-XX) 1 History and biography (01-XX) 1 Mathematical logic and foundations (03-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Measure and integration (28-XX) 1 Difference and functional equations (39-XX) 1 Integral transforms, operational calculus (44-XX) 1 Manifolds and cell complexes (57-XX) 1 Mechanics of particles and systems (70-XX) 1 Information and communication theory, circuits (94-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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