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Author ID: igusa.jun-ichi Recent zbMATH articles by "Igusa, Jun-ichi"
Published as: Igusa, Jun-ichi; Igusa, Jun-Ichi; Igusa, J.; Igusa, J.-I.; Igusa, J.-i.; Igusa, Junichi; Igusa, Jun Ichi; Igusa, J-I.
External Links: MGP · Wikidata · GND · IdRef
Documents Indexed: 85 Publications since 1948, including 3 Books
2 Contributions as Editor
Biographic References: 2 Publications
Co-Authors: 5 Co-Authors with 2 Joint Publications
161 Co-Co-Authors

Publications by Year

Citations contained in zbMATH Open

61 Publications have been cited 1,407 times in 1,075 Documents Cited by Year
On Siegel modular forms of genus two. I, II. Zbl 0133.33301
Igusa, J.-I.
152
1964
Theta functions. Zbl 0251.14016
Igusa, Jun-ichi
142
1972
Arithmetic variety of moduli for genus two. Zbl 0122.39002
Igusa, Jun-ichi
129
1960
An introduction to the theory of local zeta functions. Zbl 0959.11047
Igusa, Jun-ichi
78
2000
On the graded ring of theta-constants. Zbl 0146.31703
Igusa, J.
71
1964
A classification of spinors up to dimension twelve. Zbl 0217.36203
Igusa, J.-i.
68
1970
Modular forms and projective invariants. Zbl 0159.50401
Igusa, Jun-ichi
66
1967
Lectures on forms of higher degree. Notes by S. Raghavan. Zbl 0417.10015
Igusa, J.-I.
46
1978
On the ring of modular forms of degree two over Z. Zbl 0415.14026
Igusa, Jun-ichi
41
1979
A desingularization problem in the theory of Siegel modular functions. Zbl 0145.09702
Igusa, J.
36
1967
Complex powers and asymptotic expansions. I: Functions of certain types. Zbl 0287.43007
Igusa, Jun-ichi
36
1974
Class number of a definite quaternion with prime discriminant. Zbl 0081.03601
Igusa, Jun-ichi
34
1958
Kroneckerian model of fields of elliptic modular functions. Zbl 0093.04502
Igusa, Jun-ichi
34
1959
Fibre systems of Jacobian varieties. III: Fibre systems of elliptic curves. Zbl 0115.38904
Igusa, J.
33
1959
Complex powers and asymptotic expansions. II: Asymptotic expansions. Zbl 0315.41029
Igusa, Jun-ichi
29
1975
On the structure of a certain class of Kaehler varieties. Zbl 0058.37901
Igusa, Jun-ichi
25
1954
On Jacobi’s derivative formula and its generalizations. Zbl 0433.14033
Igusa, Jun-ichi
24
1980
On the graded ring of theta-constants. II. Zbl 0146.31704
Igusa, J.
24
1966
Some results on p-adic complex powers. Zbl 0589.14023
Igusa, Jun-ichi
23
1984
On the irreducibility of Schottky’s divisor. Zbl 0501.14026
Igusa, Jun-ichi
23
1981
Fibre systems of Jacobian varieties. I.-II.: Local monodromy groups of fibre systems. Zbl 0074.15803
Igusa, Jun-ichi
23
1956
On the algebraic theory of elliptic modular functions. Zbl 0164.21101
Igusa, J.
21
1968
On the arithmetic normality of the Grassmann variety. Zbl 0055.39002
Igusa, Jun-ichi
21
1954
On some problems in abstract algebraic geometry. Zbl 0067.39102
Igusa, Jun-ichi
20
1955
Some observations on higher degree characters. Zbl 0373.12008
Igusa, Jun-ichi
16
1977
Betti and Picard numbers of abstract algebraic surfaces. Zbl 0099.16402
Igusa, Jun-ichi
16
1960
Harmonic analysis and theta-functions. Zbl 0157.20902
Igusa, J.-I.
14
1968
On functional equations of complex powers. Zbl 0599.12017
Igusa, Jun-ichi
12
1986
On certain representations of semi-simple algebraic groups and the arithmetic of the corresponding invariants. I. Zbl 0206.23902
Igusa, J.-i.
11
1971
A stationary phase formula for \(p\)-adic integrals and its applications. Zbl 0904.11035
Igusa, Jun-ichi
10
1994
A fundamental inequality in the theory of Picard varieties. Zbl 0067.39201
Igusa, Jun-ichi
9
1955
On the Nullwerte of Jacobians of odd theta functions. Zbl 0458.14017
Igusa, Jun-ichi
8
1981
On a theorem of Lueroth. Zbl 0045.32501
Igusa, Jun-ichi
8
1951
On the arithmetic of a singular invariant. Zbl 0662.12014
Igusa, Jun-ichi
7
1988
Universal p-adic zeta functions and their functional equations. Zbl 0707.14016
Igusa, Jun-ichi
7
1989
On the first terms of certain asymptotic expansions. Zbl 0355.14012
Igusa, J.
7
1977
Complex powers of irreducible algebroid curves. Zbl 0605.14029
Igusa, Jun-ichi
6
1985
Problems on Abelian functions at the time of Poincaré and some at present. Zbl 0484.14015
Igusa, Jun-ichi
6
1982
On the variety of associated with the ring of Thetanullwerte. Zbl 0463.14015
Igusa, Jun-Ichi
5
1981
Schottky’s invariant and quadratic forms. Zbl 0482.10030
Igusa, Jun-ichi
5
1981
Multiplicity one theorem and problems related to Jacobi’s formula. Zbl 0527.14037
Igusa, Jun-ichi
5
1983
Geometry of absolutely admissible representations. Zbl 0271.20022
Igusa, Jun-ichi
5
1973
On the transformation theory of elliptic functions. Zbl 0131.28102
Igusa, J.-I.
5
1959
On the arithmetic of Pfaffians. Zbl 0251.20044
Igusa, Jun-Ichi
5
1972
On a property of the domain of regularity. Zbl 0047.32303
Igusa, Jun-ichi
5
1952
On the Picard varieties attached to algebraic varieties. Zbl 0049.38601
Igusa, Jun-ichi
5
1952
Local zeta functions of certain prehomogeneous vector spaces. Zbl 0765.14013
Igusa, Jun-ichi
4
1992
A Poisson formula and exponential sums. Zbl 0327.43003
Igusa, Jun-ichi
4
1976
Abstract vanishing cycle theory. Zbl 0115.39101
Igusa, J.
3
1958
On a certain Poisson formula. Zbl 0283.43004
Igusa, Jun-Ichi
3
1974
Cohomology theory of varieties over rings. Zbl 0096.36002
Chow, Wei-Liang; Igusa, Jun-ichi
3
1958
Zeta distributions associated with some invariants. Zbl 0616.12006
Igusa, Jun-ichi
2
1987
b-functions and p-adic integrals. Zbl 0709.11070
Igusa, Jun-ichi
2
1989
Arithmetic genera of normal varieties in an algebraic family. Zbl 0064.15204
Igusa, Jun-ichi
2
1955
Local zeta functions of general quadratic polynomials. Zbl 0803.11064
Igusa, Jun-ichi
2
1994
Some observations on metaplectic groups. Zbl 0484.22013
Igusa, Jun-ichi
1
1981
Criteria for the validity of a certain Poisson formula. Zbl 0366.43003
Igusa, Jun-Ichi
1
1977
On certain representations of semi-simple algebraic groups. Zbl 0219.22018
Igusa, J.-i.
1
1971
On the theory of algebraic correspondences and its application to the Riemann hypothesis in function-fields. Zbl 0039.03202
Igusa, Jun-ichi
1
1949
On a property of commutators in the unitary group. Zbl 0045.15803
Igusa, Jun-ichi
1
1950
On the varieties of the classical groups in the field of arbitrary characteristic. Zbl 0049.38703
Igusa, Jun-ichi
1
1952
An introduction to the theory of local zeta functions. Zbl 0959.11047
Igusa, Jun-ichi
78
2000
A stationary phase formula for \(p\)-adic integrals and its applications. Zbl 0904.11035
Igusa, Jun-ichi
10
1994
Local zeta functions of general quadratic polynomials. Zbl 0803.11064
Igusa, Jun-ichi
2
1994
Local zeta functions of certain prehomogeneous vector spaces. Zbl 0765.14013
Igusa, Jun-ichi
4
1992
Universal p-adic zeta functions and their functional equations. Zbl 0707.14016
Igusa, Jun-ichi
7
1989
b-functions and p-adic integrals. Zbl 0709.11070
Igusa, Jun-ichi
2
1989
On the arithmetic of a singular invariant. Zbl 0662.12014
Igusa, Jun-ichi
7
1988
Zeta distributions associated with some invariants. Zbl 0616.12006
Igusa, Jun-ichi
2
1987
On functional equations of complex powers. Zbl 0599.12017
Igusa, Jun-ichi
12
1986
Complex powers of irreducible algebroid curves. Zbl 0605.14029
Igusa, Jun-ichi
6
1985
Some results on p-adic complex powers. Zbl 0589.14023
Igusa, Jun-ichi
23
1984
Multiplicity one theorem and problems related to Jacobi’s formula. Zbl 0527.14037
Igusa, Jun-ichi
5
1983
Problems on Abelian functions at the time of Poincaré and some at present. Zbl 0484.14015
Igusa, Jun-ichi
6
1982
On the irreducibility of Schottky’s divisor. Zbl 0501.14026
Igusa, Jun-ichi
23
1981
On the Nullwerte of Jacobians of odd theta functions. Zbl 0458.14017
Igusa, Jun-ichi
8
1981
On the variety of associated with the ring of Thetanullwerte. Zbl 0463.14015
Igusa, Jun-Ichi
5
1981
Schottky’s invariant and quadratic forms. Zbl 0482.10030
Igusa, Jun-ichi
5
1981
Some observations on metaplectic groups. Zbl 0484.22013
Igusa, Jun-ichi
1
1981
On Jacobi’s derivative formula and its generalizations. Zbl 0433.14033
Igusa, Jun-ichi
24
1980
On the ring of modular forms of degree two over Z. Zbl 0415.14026
Igusa, Jun-ichi
41
1979
Lectures on forms of higher degree. Notes by S. Raghavan. Zbl 0417.10015
Igusa, J.-I.
46
1978
Some observations on higher degree characters. Zbl 0373.12008
Igusa, Jun-ichi
16
1977
On the first terms of certain asymptotic expansions. Zbl 0355.14012
Igusa, J.
7
1977
Criteria for the validity of a certain Poisson formula. Zbl 0366.43003
Igusa, Jun-Ichi
1
1977
A Poisson formula and exponential sums. Zbl 0327.43003
Igusa, Jun-ichi
4
1976
Complex powers and asymptotic expansions. II: Asymptotic expansions. Zbl 0315.41029
Igusa, Jun-ichi
29
1975
Complex powers and asymptotic expansions. I: Functions of certain types. Zbl 0287.43007
Igusa, Jun-ichi
36
1974
On a certain Poisson formula. Zbl 0283.43004
Igusa, Jun-Ichi
3
1974
Geometry of absolutely admissible representations. Zbl 0271.20022
Igusa, Jun-ichi
5
1973
Theta functions. Zbl 0251.14016
Igusa, Jun-ichi
142
1972
On the arithmetic of Pfaffians. Zbl 0251.20044
Igusa, Jun-Ichi
5
1972
On certain representations of semi-simple algebraic groups and the arithmetic of the corresponding invariants. I. Zbl 0206.23902
Igusa, J.-i.
11
1971
On certain representations of semi-simple algebraic groups. Zbl 0219.22018
Igusa, J.-i.
1
1971
A classification of spinors up to dimension twelve. Zbl 0217.36203
Igusa, J.-i.
68
1970
On the algebraic theory of elliptic modular functions. Zbl 0164.21101
Igusa, J.
21
1968
Harmonic analysis and theta-functions. Zbl 0157.20902
Igusa, J.-I.
14
1968
Modular forms and projective invariants. Zbl 0159.50401
Igusa, Jun-ichi
66
1967
A desingularization problem in the theory of Siegel modular functions. Zbl 0145.09702
Igusa, J.
36
1967
On the graded ring of theta-constants. II. Zbl 0146.31704
Igusa, J.
24
1966
On Siegel modular forms of genus two. I, II. Zbl 0133.33301
Igusa, J.-I.
152
1964
On the graded ring of theta-constants. Zbl 0146.31703
Igusa, J.
71
1964
Arithmetic variety of moduli for genus two. Zbl 0122.39002
Igusa, Jun-ichi
129
1960
Betti and Picard numbers of abstract algebraic surfaces. Zbl 0099.16402
Igusa, Jun-ichi
16
1960
Kroneckerian model of fields of elliptic modular functions. Zbl 0093.04502
Igusa, Jun-ichi
34
1959
Fibre systems of Jacobian varieties. III: Fibre systems of elliptic curves. Zbl 0115.38904
Igusa, J.
33
1959
On the transformation theory of elliptic functions. Zbl 0131.28102
Igusa, J.-I.
5
1959
Class number of a definite quaternion with prime discriminant. Zbl 0081.03601
Igusa, Jun-ichi
34
1958
Abstract vanishing cycle theory. Zbl 0115.39101
Igusa, J.
3
1958
Cohomology theory of varieties over rings. Zbl 0096.36002
Chow, Wei-Liang; Igusa, Jun-ichi
3
1958
Fibre systems of Jacobian varieties. I.-II.: Local monodromy groups of fibre systems. Zbl 0074.15803
Igusa, Jun-ichi
23
1956
On some problems in abstract algebraic geometry. Zbl 0067.39102
Igusa, Jun-ichi
20
1955
A fundamental inequality in the theory of Picard varieties. Zbl 0067.39201
Igusa, Jun-ichi
9
1955
Arithmetic genera of normal varieties in an algebraic family. Zbl 0064.15204
Igusa, Jun-ichi
2
1955
On the structure of a certain class of Kaehler varieties. Zbl 0058.37901
Igusa, Jun-ichi
25
1954
On the arithmetic normality of the Grassmann variety. Zbl 0055.39002
Igusa, Jun-ichi
21
1954
On a property of the domain of regularity. Zbl 0047.32303
Igusa, Jun-ichi
5
1952
On the Picard varieties attached to algebraic varieties. Zbl 0049.38601
Igusa, Jun-ichi
5
1952
On the varieties of the classical groups in the field of arbitrary characteristic. Zbl 0049.38703
Igusa, Jun-ichi
1
1952
On a theorem of Lueroth. Zbl 0045.32501
Igusa, Jun-ichi
8
1951
On a property of commutators in the unitary group. Zbl 0045.15803
Igusa, Jun-ichi
1
1950
On the theory of algebraic correspondences and its application to the Riemann hypothesis in function-fields. Zbl 0039.03202
Igusa, Jun-ichi
1
1949
all top 5

Cited by 1,079 Authors

22 Salvati Manni, Riccardo
19 Veys, Willem
17 Zúñiga-Galindo, Wilson A.
14 Shaska, Tanush
12 Poor, Cris
11 Ibukiyama, Tomoyoshi
10 Nagaoka, Shoyu
9 Freitag, Eberhard
9 Lauter, Kristin Estella
9 Malmendier, Andreas
9 Yuen, David S.
8 Cluckers, Raf
8 Igusa, Jun-ichi
8 Van der Geer, Gerard
7 Kimura, Tatsuo
7 Liedtke, Christian
7 Oort, Frans
7 Takemori, Sho
7 Weintraub, Steven Howard
6 D’Hoker, Eric
6 Kikuta, Toshiyuki
6 Loeser, François
6 Meuser, Diane
6 Runge, Bernhard
5 Cléry, Fabien
5 De Bruyn, Bart
5 Denef, Jan
5 Enolskiĭ, Viktor Zelikovich
5 Garibaldi, Skip
5 Grushevsky, Samuel
5 León-Cardenal, Edwin
5 Leprévost, Franck
5 Matsumoto, Keiji
5 Nguyen, Kien Huu
5 Phong, Duong Hong
5 Ritzenthaler, Christophe
5 Shiga, Hironori
5 Shioda, Tetsuji
5 Vinberg, Èrnest Borisovich
5 Wakatsuki, Satoshi
5 Wang, Haowu
4 Beshaj, Lubjana
4 Bolognesi, Michele
4 Cardona, Gabriel
4 Clingher, Adrian
4 De Concini, Corrado
4 Eisenbud, David
4 Fiorentino, Alessio
4 Fomenko, Oleg Mstislavovich
4 Grant, David R.
4 Gritsenko, Valeriĭ Alekseevich
4 Guralnick, Robert Michael
4 Klopsch, Benjamin
4 Koike, Kenji
4 Koo, Jakyung
4 Krieg, Aloys
4 Kurokawa, Nobushige
4 Kwiatkowski, Mariusz
4 Lee, Ronnie
4 Lichtin, Ben
4 Matone, Marco
4 Mazur, Barry
4 Melo, Margarida
4 Mizumoto, Shin-ichiro
4 Namikawa, Yukihiko
4 Nart, Enric
4 Oura, Manabu
4 Piazza, Francesco Dalla
4 Raum, Martin
4 Robert, Damien
4 Sasaki, Ryuji
4 Sato, Fumihiro
4 Segers, Dirk
4 Sen, Ashoke Kumar
4 Silverberg, Alice
4 van Geemen, Bert
4 Viviani, Filippo
4 Voll, Christopher
4 Williams, Brandon
3 Aguilar-Arteaga, Victor A.
3 Aoki, Hiroki
3 Bandini, Andrea
3 Böcherer, Siegfried
3 Budur, Nero
3 Christian, Ulrich
3 Dolgachev, Igor’ Vladimirovich
3 Eichler, Martin
3 Estala-Arias, Samuel
3 Esteves, Eduardo
3 Faber, Carel Filip
3 Guàrdia, Jordi
3 Hermann, Carl Friedrich
3 Hidalgo, Rubén Antonio
3 Howe, Everett W.
3 Hulek, Klaus
3 Kable, Anthony C.
3 Katsura, Toshiyuki
3 Kodama, Hirotaka
3 Kondō, Shigeyuki
3 Kopeliovich, Yaacov
...and 979 more Authors
all top 5

Cited in 177 Serials

60 Mathematische Annalen
58 Journal of Number Theory
43 Inventiones Mathematicae
40 Transactions of the American Mathematical Society
37 Journal of Algebra
37 Mathematische Zeitschrift
36 Advances in Mathematics
35 Compositio Mathematica
26 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg
26 Manuscripta Mathematica
25 Duke Mathematical Journal
21 Proceedings of the American Mathematical Society
19 Nagoya Mathematical Journal
18 Proceedings of the Japan Academy. Series A
17 Nuclear Physics. B
17 Mathematics of Computation
17 Tohoku Mathematical Journal. Second Series
17 Journal of High Energy Physics
14 Annales de l’Institut Fourier
14 Journal of Pure and Applied Algebra
13 Communications in Mathematical Physics
12 Israel Journal of Mathematics
12 The Ramanujan Journal
11 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
11 Bulletin of the American Mathematical Society. New Series
10 Experimental Mathematics
10 Research in Number Theory
9 International Journal of Mathematics
9 Journal de Théorie des Nombres de Bordeaux
8 Journal of Geometry and Physics
8 Archiv der Mathematik
8 Publications of the Research Institute for Mathematical Sciences, Kyoto University
8 Journal of Algebraic Geometry
8 LMS Journal of Computation and Mathematics
8 \(p\)-Adic Numbers, Ultrametric Analysis, and Applications
7 Communications in Algebra
7 Journal für die Reine und Angewandte Mathematik
7 Journal of Soviet Mathematics
7 International Journal of Number Theory
6 Letters in Mathematical Physics
6 Bulletin de la Société Mathématique de France
6 Geometriae Dedicata
6 Publications Mathématiques
6 Mathematische Nachrichten
6 Memoirs of the American Mathematical Society
6 Monatshefte für Mathematik
6 Research in the Mathematical Sciences
5 Rocky Mountain Journal of Mathematics
5 Acta Arithmetica
5 Functional Analysis and its Applications
5 Journal of the American Mathematical Society
5 Proceedings of the Indian Academy of Sciences. Mathematical Sciences
5 Proceedings of the Japan Academy
4 Journal d’Analyse Mathématique
4 Mathematical Notes
4 Mathematical Proceedings of the Cambridge Philosophical Society
4 Arkiv för Matematik
4 Acta Mathematica
4 Annali di Matematica Pura ed Applicata. Serie Quarta
4 Commentarii Mathematici Helvetici
4 Journal of the Mathematical Society of Japan
4 Rendiconti del Seminario Matematico della Università di Padova
4 Acta Applicandae Mathematicae
4 Forum Mathematicum
4 Linear Algebra and its Applications
4 Indagationes Mathematicae. New Series
4 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
4 Finite Fields and their Applications
4 Annals of Mathematics. Second Series
4 Bulletin of the American Mathematical Society
4 Algebra & Number Theory
3 Bulletin of the Australian Mathematical Society
3 General Relativity and Gravitation
3 Journal of Mathematical Physics
3 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV
3 Journal of Combinatorial Theory. Series A
3 Journal of Symbolic Computation
3 The Journal of Geometric Analysis
3 Journal de Mathématiques Pures et Appliquées. Neuvième Série
3 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
3 Science China. Mathematics
3 Kyoto Journal of Mathematics
2 International Journal of Modern Physics A
2 Journal of Mathematical Analysis and Applications
2 Physics Reports
2 Journal of Functional Analysis
2 Journal of the London Mathematical Society. Second Series
2 Kodai Mathematical Journal
2 Michigan Mathematical Journal
2 Osaka Journal of Mathematics
2 Proceedings of the London Mathematical Society. Third Series
2 Rendiconti del Circolo Matemàtico di Palermo. Serie II
2 Siberian Mathematical Journal
2 Combinatorica
2 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni
2 Journal of Mathematical Sciences (New York)
2 St. Petersburg Mathematical Journal
2 Selecta Mathematica. New Series
2 The Journal of Fourier Analysis and Applications
2 Transformation Groups
...and 77 more Serials
all top 5

Cited in 48 Fields

588 Algebraic geometry (14-XX)
562 Number theory (11-XX)
120 Several complex variables and analytic spaces (32-XX)
71 Group theory and generalizations (20-XX)
64 Quantum theory (81-XX)
41 Commutative algebra (13-XX)
41 Topological groups, Lie groups (22-XX)
31 Nonassociative rings and algebras (17-XX)
31 Differential geometry (53-XX)
28 Special functions (33-XX)
27 Relativity and gravitational theory (83-XX)
24 Functions of a complex variable (30-XX)
21 Global analysis, analysis on manifolds (58-XX)
20 Field theory and polynomials (12-XX)
19 Linear and multilinear algebra; matrix theory (15-XX)
18 Information and communication theory, circuits (94-XX)
17 Partial differential equations (35-XX)
17 Functional analysis (46-XX)
15 Mathematical logic and foundations (03-XX)
15 Abstract harmonic analysis (43-XX)
15 Operator theory (47-XX)
12 Combinatorics (05-XX)
12 Harmonic analysis on Euclidean spaces (42-XX)
12 Manifolds and cell complexes (57-XX)
10 Algebraic topology (55-XX)
9 Associative rings and algebras (16-XX)
9 Convex and discrete geometry (52-XX)
7 Dynamical systems and ergodic theory (37-XX)
6 Real functions (26-XX)
6 Geometry (51-XX)
6 Probability theory and stochastic processes (60-XX)
4 Difference and functional equations (39-XX)
3 History and biography (01-XX)
3 Category theory; homological algebra (18-XX)
3 \(K\)-theory (19-XX)
3 Ordinary differential equations (34-XX)
3 Integral transforms, operational calculus (44-XX)
3 Numerical analysis (65-XX)
3 Mechanics of particles and systems (70-XX)
3 Statistical mechanics, structure of matter (82-XX)
2 Approximations and expansions (41-XX)
2 Computer science (68-XX)
1 Order, lattices, ordered algebraic structures (06-XX)
1 Statistics (62-XX)
1 Mechanics of deformable solids (74-XX)
1 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
1 Biology and other natural sciences (92-XX)
1 Systems theory; control (93-XX)

Citations by Year

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