# zbMATH — the first resource for mathematics

## Kitaoka, Yoshiyuki

Compute Distance To:
 Author ID: kitaoka.yoshiyuki Published as: Kitaoka, Y.; Kitaoka, Yoshiyuki
 Documents Indexed: 87 Publications since 1971, including 4 Books
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#### Co-Authors

 73 single-authored 2 Chen, Yenmei J. 2 Hsia, John Sollion 2 Yu, Jing 1 Andrews, George Eyre 1 Fujii, Akio 1 Hadano, Toshihiro 1 Ishikawa, Masaru 1 Kim, Myung-Hwan 1 Kneser, Martin 1 Kubota, Tomio 1 Nozaki, Michihiro 1 Schulze-Pillot, Rainer 1 Shimizu, Yuuki 1 Suzuki, Hiroshi 1 Takada, Hiroki
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#### Serials

 29 Nagoya Mathematical Journal 8 Proceedings of the Japan Academy. Series A 4 Journal of Number Theory 4 Uniform Distribution Theory 3 Journal für die Reine und Angewandte Mathematik 3 Proceedings of the Japan Academy 2 Japanese Journal of Mathematics. New Series 2 Nachrichten der Akademie der Wissenschaften in Göttingen. II. Mathematisch-Physikalische Klasse 2 RIMS Kokyuroku 2 Cambridge Tracts in Mathematics 1 Mathematics of Computation 1 Acta Arithmetica 1 Archiv der Mathematik 1 Journal of the Mathematical Society of Japan 1 Mathematische Zeitschrift 1 Osaka Journal of Mathematics 1 Sūgaku 1 Sugaku Expositions 1 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 1 Integers 1 Forma 1 Contemporary Mathematics
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#### Fields

 82 Number theory (11-XX) 5 Group theory and generalizations (20-XX) 4 Linear and multilinear algebra; matrix theory (15-XX) 2 Combinatorics (05-XX) 1 General and overarching topics; collections (00-XX) 1 Field theory and polynomials (12-XX) 1 Special functions (33-XX) 1 Probability theory and stochastic processes (60-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX)

#### Citations contained in zbMATH

60 Publications have been cited 378 times in 268 Documents Cited by Year
Arithmetic of quadratic forms. Zbl 0785.11021
Kitaoka, Yoshiyuki
1993
Dirichlet series in the theory of Siegel modular forms. Zbl 0551.10025
Kitaoka, Yoshiyuki
1984
Representations of positive definite quadratic forms. Zbl 0374.10013
Hsia, John S.; Kitaoka, Yoshiyuki; Kneser, Martin
1978
A note on local densities of quadratic forms. Zbl 0523.10012
Kitaoka, Yoshiyuki
1983
Fourier coefficients of Siegel cusp forms of degree two. Zbl 0531.10031
Kitaoka, Yoshiyuki
1984
Lectures on Siegel modular forms and representation by quadratic forms. Zbl 0596.10020
Kitaoka, Y.
1986
Quaternary even positive definite quadratic forms of prime discriminant. Zbl 0294.10014
Kitaoka, Yoshiyuki
1973
Local densities of quadratic forms and Fourier coefficients of Eisenstein series. Zbl 0603.10022
Kitaoka, Yoshiyuki
1986
Modular forms of degree n and representation by quadratic forms. II. Zbl 0494.10013
Kitaoka, Yoshiyuki
1982
Modular forms of degree n and representation by quadratic forms. Zbl 0404.10014
Kitaoka, Yoshiyuki
1979
Distribution of units of real quadratic number fields. Zbl 0984.11057
Chen, Yen-Mei J.; Kitaoka, Yoshiyuki; Yu, Jing
2000
Representations of quadratic forms and their application to Selberg’s zeta functions. Zbl 0334.10010
Kitaoka, Yoshiyuki
1976
Two theorems on the class number of positive definite quadratic forms. Zbl 0292.10018
Kitaoka, Yoshiyuki
1973
Arithmetic of quadratic forms. Paperback ed. Zbl 0920.11022
Kitaoka, Yoshiyuki
1999
On the distribution of units modulo prime ideals in real quadratic fields. Zbl 0883.11046
Ishikawa, Masaru; Kitaoka, Yoshiyuki
1998
Representations of positive definite quadratic forms with congruence and primitive conditions. Zbl 0810.11020
Jöchner, M.; Kitaoka, Y.
1994
Scalar extension of quadratic lattices. II. Zbl 0361.10020
Kitaoka, Yoshiyuki
1977
Positive definite quadratic forms with the same representation numbers. Zbl 0361.10019
Kitaoka, Yoshiyuki
1977
Class numbers of quadratic forms over real quadratic fields. Zbl 0352.10009
Kitaoka, Yoshiyuki
1977
Scalar extension of quadratic lattices. Zbl 0356.10017
Kitaoka, Yoshiyuki
1977
On the relation between the positive definite quadratic forms with the same representation numbers. Zbl 0225.10029
Kitaoka, Yoshiyuki
1971
Distribution of units of a cubic field with negative discriminant. Zbl 1014.11067
Kitaoka, Yoshiyuki
2001
Finite arithmetic subgroups of $$GL_n$$. IV. Zbl 0912.11017
Kitaoka, Yoshiyuki; Suzuki, Hiroshi
1996
Finite arithmetic subgroups of $$GL_ n$$. III. Zbl 0805.11035
Kitaoka, Yoshiyuki
1994
A note on Klingen’s Eisenstein series. Zbl 0714.11030
Kitaoka, Y.
1990
On Eisenstein series of degree two. Zbl 0623.10017
Kitaoka, Yoshiyuki
1987
Fourier coefficients of Eisenstein series of degree 3. Zbl 0551.10024
Kitaoka, Yoshiyuki
1984
Finite arithmetic subgroups of $$GL_n$$. II. Zbl 0435.10015
Kitaoka, Yoshiyuki
1980
A remark on the transformation formula of theta functions associated to positive definite quadratic forms. Zbl 0427.10013
Kitaoka, Yoshiyuki
1980
Class numbers of positive definite quinary quadratic forms. Zbl 0317.10033
Kitaoka, Yoshiyuki
1975
A statistical relation of roots of a polynomial in different local fields. II. Zbl 1217.11029
Kitaoka, Yoshiyuki
2010
A statistical relation of roots of a polynomial in different local fields. Zbl 1214.11127
Kitaoka, Yoshiyuki
2009
Densities of sets of primes related to decimal expansion of rational numbers. Zbl 1197.11088
Hadano, Toshihiro; Kitaoka, Yoshiyuki; Kubota, Tomio; Nozaki, Michihiro
2006
Ray class field of prime conductor of a real quadratic field. Zbl 1126.11064
Kitaoka, Yoshiyuki
2004
On plane lattice points whose coordinates are reciprocals modulo a prime. Zbl 0917.11051
Fujii, Akio; Kitaoka, Yoshiyuki
1997
Finite arithmetic subgroups of $$GL_ n$$. V. Zbl 0879.11019
Kitaoka, Yoshiyuki
1997
A space of Siegel modular forms closed under the action of Hecke operators. Zbl 0821.11033
Kitaoka, Yoshiyuki
1994
Modular forms of degree $$n$$ and representation by quadratic forms. V. Zbl 0651.10018
Kitaoka, Yoshiyuki
1988
Tensor products of positive definite quadratic forms. III. Zbl 0387.10011
Kitaoka, Yoshiyuki
1978
A simple proof of the functional equation of a certain L-function. Zbl 0229.10022
Kitaoka, Yoshiyuki
1971
A note on Hecke operators and theta-series. Zbl 0221.10031
Kitaoka, Yoshiyuki
1971
Statistical distribution of roots modulo primes of an irreducible and decomposable polynomial of degree 4. Zbl 1392.11077
Kitaoka, Yoshiyuki
2015
A statistical relation of roots of a polynomial in different local fields. IV. Zbl 1382.11079
Kitaoka, Yoshiyuki
2013
A statistical relation of roots of a polynomial in different local fields. III. Zbl 1254.11091
Kitaoka, Yoshiyuki
2012
Distribution of units of an algebraic number field modulo an ideal. Zbl 1127.11073
Kitaoka, Yoshiyuki
2007
Distribution of units of an algebraic number field. Zbl 1060.11072
Kitaoka, Yoshiyuki
2004
On primitive roots of tori: the case of function fields. Zbl 1045.11080
Chen, Yen-Mei J.; Kitaoka, Yoshiyuki; Yu, Jing
2003
Finite arithmetic subgroups of $$\text{GL}_n$$. VI. Zbl 1044.11572
Kitaoka, Yoshiyuki
1999
The minimum and the primitive representation of positive definite quadratic forms. Zbl 0804.11033
Kitaoka, Yoshiyuki
1994
Fourier coefficients of Klingen’s Eisenstein series for principal congruence subgroups of the symplectic group. Zbl 0786.11023
Kitaoka, Yoshiyuki
1992
A result on $$q$$-series and its application to quadratic forms. Zbl 0691.10013
Andrews, George E.; Kitaoka, Yoshiyuki
1990
Some remarks on representations of positive definite quadratic forms. Zbl 0691.10009
Kitaoka, Yoshiyuki
1989
Local densities of quadratic forms. Zbl 0656.10014
Kitaoka, Yoshiyuki
1988
Modular forms of degree n and representation by quadratic forms. III: Kloosterman’s method. Zbl 0494.10014
Kitaoka, Yoshiyuki
1981
Tensor products of positive definite quadratic forms. V. Zbl 0456.10010
Kitaoka, Yoshiyuki
1981
Endliche arithmetische Untergruppen der $$GL_n$$. Zbl 0416.20038
Bartels, H.-J.; Kitaoka, Y.
1980
Tensor products of positive definite quadratic forms. IV. Zbl 0395.10030
Kitaoka, Yoshiyuki
1979
Tensor products of positive definite quadratic forms. II. Zbl 0391.10021
Kitaoka, Yoshiyuki
1978
Tensor products of positive definite quadratic forms. Zbl 0391.10020
Kitaoka, Yoshiyuki
1977
Tensor products of positive definite quadratic forms. Zbl 0391.10019
Kitaoka, Yoshiyuki
1976
Statistical distribution of roots modulo primes of an irreducible and decomposable polynomial of degree 4. Zbl 1392.11077
Kitaoka, Yoshiyuki
2015
A statistical relation of roots of a polynomial in different local fields. IV. Zbl 1382.11079
Kitaoka, Yoshiyuki
2013
A statistical relation of roots of a polynomial in different local fields. III. Zbl 1254.11091
Kitaoka, Yoshiyuki
2012
A statistical relation of roots of a polynomial in different local fields. II. Zbl 1217.11029
Kitaoka, Yoshiyuki
2010
A statistical relation of roots of a polynomial in different local fields. Zbl 1214.11127
Kitaoka, Yoshiyuki
2009
Distribution of units of an algebraic number field modulo an ideal. Zbl 1127.11073
Kitaoka, Yoshiyuki
2007
Densities of sets of primes related to decimal expansion of rational numbers. Zbl 1197.11088
Hadano, Toshihiro; Kitaoka, Yoshiyuki; Kubota, Tomio; Nozaki, Michihiro
2006
Ray class field of prime conductor of a real quadratic field. Zbl 1126.11064
Kitaoka, Yoshiyuki
2004
Distribution of units of an algebraic number field. Zbl 1060.11072
Kitaoka, Yoshiyuki
2004
On primitive roots of tori: the case of function fields. Zbl 1045.11080
Chen, Yen-Mei J.; Kitaoka, Yoshiyuki; Yu, Jing
2003
Distribution of units of a cubic field with negative discriminant. Zbl 1014.11067
Kitaoka, Yoshiyuki
2001
Distribution of units of real quadratic number fields. Zbl 0984.11057
Chen, Yen-Mei J.; Kitaoka, Yoshiyuki; Yu, Jing
2000
Arithmetic of quadratic forms. Paperback ed. Zbl 0920.11022
Kitaoka, Yoshiyuki
1999
Finite arithmetic subgroups of $$\text{GL}_n$$. VI. Zbl 1044.11572
Kitaoka, Yoshiyuki
1999
On the distribution of units modulo prime ideals in real quadratic fields. Zbl 0883.11046
Ishikawa, Masaru; Kitaoka, Yoshiyuki
1998
On plane lattice points whose coordinates are reciprocals modulo a prime. Zbl 0917.11051
Fujii, Akio; Kitaoka, Yoshiyuki
1997
Finite arithmetic subgroups of $$GL_ n$$. V. Zbl 0879.11019
Kitaoka, Yoshiyuki
1997
Finite arithmetic subgroups of $$GL_n$$. IV. Zbl 0912.11017
Kitaoka, Yoshiyuki; Suzuki, Hiroshi
1996
Representations of positive definite quadratic forms with congruence and primitive conditions. Zbl 0810.11020
Jöchner, M.; Kitaoka, Y.
1994
Finite arithmetic subgroups of $$GL_ n$$. III. Zbl 0805.11035
Kitaoka, Yoshiyuki
1994
A space of Siegel modular forms closed under the action of Hecke operators. Zbl 0821.11033
Kitaoka, Yoshiyuki
1994
The minimum and the primitive representation of positive definite quadratic forms. Zbl 0804.11033
Kitaoka, Yoshiyuki
1994
Arithmetic of quadratic forms. Zbl 0785.11021
Kitaoka, Yoshiyuki
1993
Fourier coefficients of Klingen’s Eisenstein series for principal congruence subgroups of the symplectic group. Zbl 0786.11023
Kitaoka, Yoshiyuki
1992
A note on Klingen’s Eisenstein series. Zbl 0714.11030
Kitaoka, Y.
1990
A result on $$q$$-series and its application to quadratic forms. Zbl 0691.10013
Andrews, George E.; Kitaoka, Yoshiyuki
1990
Some remarks on representations of positive definite quadratic forms. Zbl 0691.10009
Kitaoka, Yoshiyuki
1989
Modular forms of degree $$n$$ and representation by quadratic forms. V. Zbl 0651.10018
Kitaoka, Yoshiyuki
1988
Local densities of quadratic forms. Zbl 0656.10014
Kitaoka, Yoshiyuki
1988
On Eisenstein series of degree two. Zbl 0623.10017
Kitaoka, Yoshiyuki
1987
Lectures on Siegel modular forms and representation by quadratic forms. Zbl 0596.10020
Kitaoka, Y.
1986
Local densities of quadratic forms and Fourier coefficients of Eisenstein series. Zbl 0603.10022
Kitaoka, Yoshiyuki
1986
Dirichlet series in the theory of Siegel modular forms. Zbl 0551.10025
Kitaoka, Yoshiyuki
1984
Fourier coefficients of Siegel cusp forms of degree two. Zbl 0531.10031
Kitaoka, Yoshiyuki
1984
Fourier coefficients of Eisenstein series of degree 3. Zbl 0551.10024
Kitaoka, Yoshiyuki
1984
A note on local densities of quadratic forms. Zbl 0523.10012
Kitaoka, Yoshiyuki
1983
Modular forms of degree n and representation by quadratic forms. II. Zbl 0494.10013
Kitaoka, Yoshiyuki
1982
Modular forms of degree n and representation by quadratic forms. III: Kloosterman’s method. Zbl 0494.10014
Kitaoka, Yoshiyuki
1981
Tensor products of positive definite quadratic forms. V. Zbl 0456.10010
Kitaoka, Yoshiyuki
1981
Finite arithmetic subgroups of $$GL_n$$. II. Zbl 0435.10015
Kitaoka, Yoshiyuki
1980
A remark on the transformation formula of theta functions associated to positive definite quadratic forms. Zbl 0427.10013
Kitaoka, Yoshiyuki
1980
Endliche arithmetische Untergruppen der $$GL_n$$. Zbl 0416.20038
Bartels, H.-J.; Kitaoka, Y.
1980
Modular forms of degree n and representation by quadratic forms. Zbl 0404.10014
Kitaoka, Yoshiyuki
1979
Tensor products of positive definite quadratic forms. IV. Zbl 0395.10030
Kitaoka, Yoshiyuki
1979
Representations of positive definite quadratic forms. Zbl 0374.10013
Hsia, John S.; Kitaoka, Yoshiyuki; Kneser, Martin
1978
Tensor products of positive definite quadratic forms. III. Zbl 0387.10011
Kitaoka, Yoshiyuki
1978
Tensor products of positive definite quadratic forms. II. Zbl 0391.10021
Kitaoka, Yoshiyuki
1978
Scalar extension of quadratic lattices. II. Zbl 0361.10020
Kitaoka, Yoshiyuki
1977
Positive definite quadratic forms with the same representation numbers. Zbl 0361.10019
Kitaoka, Yoshiyuki
1977
Class numbers of quadratic forms over real quadratic fields. Zbl 0352.10009
Kitaoka, Yoshiyuki
1977
Scalar extension of quadratic lattices. Zbl 0356.10017
Kitaoka, Yoshiyuki
1977
Tensor products of positive definite quadratic forms. Zbl 0391.10020
Kitaoka, Yoshiyuki
1977
Representations of quadratic forms and their application to Selberg’s zeta functions. Zbl 0334.10010
Kitaoka, Yoshiyuki
1976
Tensor products of positive definite quadratic forms. Zbl 0391.10019
Kitaoka, Yoshiyuki
1976
Class numbers of positive definite quinary quadratic forms. Zbl 0317.10033
Kitaoka, Yoshiyuki
1975
Quaternary even positive definite quadratic forms of prime discriminant. Zbl 0294.10014
Kitaoka, Yoshiyuki
1973
Two theorems on the class number of positive definite quadratic forms. Zbl 0292.10018
Kitaoka, Yoshiyuki
1973
On the relation between the positive definite quadratic forms with the same representation numbers. Zbl 0225.10029
Kitaoka, Yoshiyuki
1971
A simple proof of the functional equation of a certain L-function. Zbl 0229.10022
Kitaoka, Yoshiyuki
1971
A note on Hecke operators and theta-series. Zbl 0221.10031
Kitaoka, Yoshiyuki
1971
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#### Cited by 208 Authors

 36 Kitaoka, Yoshiyuki 22 Oh, Byeong-Kweon 18 Böcherer, Siegfried 18 Katsurada, Hidenori 13 Kohnen, Winfried 8 Chan, Wai Kiu 7 Das, Soumya 6 Ju, Jangwon 6 Kim, Myung-Hwan 5 Ibukiyama, Tomoyoshi 5 Kim, Kyoungmin 5 Schulze-Pillot, Rainer 4 Earnest, Andrew G. 4 Mizumoto, Shin-ichiro 3 Choie, YoungJu 3 Haensch, Anna 3 Hsia, John Sollion 3 Ji, Yun-Seong 3 Kudla, Stephen S. 3 Mazur, Marcin 3 Nagaoka, Shoyu 3 Ponomarev, Paul 3 Shimura, Goro 3 Xu, Fei 3 Yang, Tonghai 2 Bost, Jean-Benoît 2 Bourgain, Jean 2 Chen, Yenmei J. 2 Chiera, Francesco Ludovico 2 Coulangeon, Renaud 2 D’Aquino, Paola 2 Dickson, Martin J. 2 Fiori, Andrew 2 Fomenko, Oleg Mstislavovich 2 Hung, David C. 2 Jochner, Michael 2 Kala, Vítězslav 2 Kataoka, Norisato 2 Kim, Chang Heon 2 Kim, Henry H. 2 Kim, Ji Young 2 Kim, Mingyu 2 Kwon, Yeong-Wook 2 Ma, Shouhei 2 Macintyre, Angus John 2 Panchishkin, Alexei A. 2 Pesce, Hubert 2 Plesken, Wilhelm 2 Rapinchuk, Andrei S. 2 Rapoport, Michael 2 Scharlau, Rudolf 2 Sloane, Neil James Alexander 2 Wu, Hai-Liang 2 Yamana, Shunsuke 2 Yamauchi, Takuya 2 Yatsyna, Pavlo 1 Abdukhalikov, Kanat S. 1 Aka, Menny 1 André, Yves 1 Andrews, George Eyre 1 Attwell-Duval, Dylan 1 Atwill, Timothy W. 1 Bacher, Roland 1 Bannai, Etsuko 1 Bayer-Fluckiger, Eva 1 Beli, Constantin-Nicolae 1 Berger, Tobias 1 Blomer, Valentin 1 Breulmann, Stefan 1 Bruinier, Jan Hendrik 1 Bureau, Jean 1 Chan, Tsz Ho 1 Chen, Huayi 1 Chida, Masataka 1 Cho, Sungmun 1 Choi, Dohoon 1 Choi, Suh Hyun 1 Cogdell, James W. 1 Conway, John Horton 1 Demeter, Ciprian 1 Dietmann, Rainer 1 Dotti Miatello, Isabel G. 1 Duke, William Drexel 1 Ehlen, Stephan Jakob 1 Eichler, Martin 1 Einsiedler, Manfred Leopold 1 Ellenberg, Jordan S. 1 Erovenko, Igor V. 1 Estes, Dennis Ray 1 Fabiańska, Anna 1 Freitag, Eberhard 1 Funke, Jens 1 Gan, Wee Teck 1 Gaudron, Éric 1 Geroldinger, Angelika 1 Gerstein, Larry J. 1 Golubeva, Elena P. 1 Gross, Benedict Hyman 1 Hanke, Jonathan P. 1 Haruki, Atsushi ...and 108 more Authors
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#### Cited in 64 Serials

 52 Journal of Number Theory 27 Nagoya Mathematical Journal 17 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg 14 Proceedings of the Japan Academy. Series A 11 Mathematische Annalen 9 Manuscripta Mathematica 9 Mathematische Zeitschrift 9 The Ramanujan Journal 8 Duke Mathematical Journal 8 Inventiones Mathematicae 6 International Journal of Number Theory 5 Journal of Algebra 5 Journal of Soviet Mathematics 4 Israel Journal of Mathematics 4 Mathematics of Computation 4 Advances in Mathematics 4 Compositio Mathematica 4 Mathematika 4 Proceedings of the American Mathematical Society 4 Transactions of the American Mathematical Society 3 Archiv der Mathematik 3 Tohoku Mathematical Journal. Second Series 2 Bulletin of the Australian Mathematical Society 2 Acta Arithmetica 2 Annales de l’Institut Fourier 2 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 2 Journal für die Reine und Angewandte Mathematik 2 Results in Mathematics 2 Annals of Pure and Applied Logic 2 Journal de Théorie des Nombres de Bordeaux 2 Integers 2 Annales Mathématiques du Québec 1 Communications on Pure and Applied Mathematics 1 Indian Journal of Pure & Applied Mathematics 1 Journal of Mathematical Analysis and Applications 1 Functional Analysis and its Applications 1 Journal of Geometry 1 Journal of the Korean Mathematical Society 1 Journal of the London Mathematical Society. Second Series 1 Kodai Mathematical Journal 1 Michigan Mathematical Journal 1 Monatshefte für Mathematik 1 Osaka Journal of Mathematics 1 Proceedings of the Edinburgh Mathematical Society. Series II 1 Proceedings of the London Mathematical Society. Third Series 1 Bulletin of the Korean Mathematical Society 1 Journal of the Ramanujan Mathematical Society 1 Geometric and Functional Analysis. GAFA 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 1 Chinese Science Bulletin 1 Journal of Algebraic Combinatorics 1 The New York Journal of Mathematics 1 Documenta Mathematica 1 Algebras and Representation Theory 1 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Journal of the Institute of Mathematics of Jussieu 1 Proceedings of the Japan Academy 1 Japanese Journal of Mathematics. 3rd Series 1 Science China. Mathematics 1 Kyoto Journal of Mathematics 1 Forum of Mathematics, Sigma 1 Electronic Research Archive
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#### Cited in 22 Fields

 255 Number theory (11-XX) 24 Algebraic geometry (14-XX) 18 Group theory and generalizations (20-XX) 7 Combinatorics (05-XX) 5 Linear and multilinear algebra; matrix theory (15-XX) 5 Topological groups, Lie groups (22-XX) 4 Global analysis, analysis on manifolds (58-XX) 2 Mathematical logic and foundations (03-XX) 2 Associative rings and algebras (16-XX) 2 Several complex variables and analytic spaces (32-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Convex and discrete geometry (52-XX) 2 Algebraic topology (55-XX) 2 Manifolds and cell complexes (57-XX) 1 Category theory; homological algebra (18-XX) 1 Measure and integration (28-XX) 1 Functions of a complex variable (30-XX) 1 Special functions (33-XX) 1 Abstract harmonic analysis (43-XX) 1 Geometry (51-XX) 1 Differential geometry (53-XX) 1 Computer science (68-XX)