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Hsia, John Sollion

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Author ID: hsia.john-s Recent zbMATH articles by "Hsia, John Sollion"
Published as: Hsia, J. S.; Hsia, John S.
External Links: MGP · Wikidata
Documents Indexed: 58 Publications since 1967, including 3 Books

Publications by Year

Citations contained in zbMATH

48 Publications have been cited 281 times in 161 Documents Cited by Year
Spinor norms of local integral rotations. II. Zbl 0334.10012
Earnest, A. G.; Hsia, J. S.
29
1975
Representations of positive definite quadratic forms. Zbl 0374.10013
Hsia, John S.; Kitaoka, Yoshiyuki; Kneser, Martin
28
1978
Spinor norms of local integral rotations. I. Zbl 0283.10009
Hsia, J. S.
23
1975
Representations by spinor genera. Zbl 0328.10018
Hsia, J. S.
22
1976
On spinor exceptional representations. Zbl 0455.10013
Benham, J. W.; Hsia, J. S.
13
1982
Primitive representations by spinor genera of ternary quadratic forms. Zbl 0805.11032
Earnest, A. G.; Hsia, J. S.; Hung, D. C.
12
1994
Representations of indefinite quadratic forms. Zbl 0883.11016
Hsia, J. S.; Shao, Y. Y.; Xu, Fei
11
1998
Almost strong approximations for definite quadratic spaces. Zbl 0894.11013
Hsia, J. S.; Jöchner, M.
10
1997
Spinor equivalence of quadratic forms. Zbl 0532.10012
Benham, J. W.; Hsia, J. S.
9
1983
Sums of three integer squares in complex quadratic fields. Zbl 0524.10016
Estes, Dennis R.; Hsia, J. S.
9
1983
Spinor genera under field extensions. II: 2 unramified in the bottom field. Zbl 0393.10021
Earnest, A. G.; Hsia, J. S.
9
1978
Round and group quadratic forms over global fields. Zbl 0266.10020
Hsia, J. S.; Johnson, Robert P.
8
1973
Exceptional integers of some ternary quadratic forms. Zbl 0493.10022
Estes, Dennis R.; Hsia, J. S.
7
1982
Arithmetic of indefinite quadratic forms. Zbl 0992.11032
Hsia, J. S.
6
1999
On the classification of unimodular quadratic forms. Zbl 0451.10015
Hsia, J. S.
6
1980
Even unimodular 12-dimensional quadratic forms over \({\mathbb{Q}}(\sqrt{5})\). Zbl 0622.10015
Costello, Patrick J.; Hsia, John S.
5
1987
Round and Pfister forms over R(t). Zbl 0263.10008
Hsia, J. S.; Johnson, Robert P.
5
1973
Representations of positive definite Hermitian forms with approximation and primitive properties. Zbl 0797.11040
Hsia, J. S.; Prieto-Cox, J. P.
4
1994
A structure theorem for a pair of quadratic forms. Zbl 0787.11011
Hsia, J. S.; Jöchner, M.; Shao, Y. Y.
4
1993
Spinor regular positive ternary quadratic forms. Zbl 0686.10014
Benham, J. W.; Earnest, A. G.; Hsia, J. S.; Hung, D. C.
4
1990
Theta series of quaternary quadratic forms over \({\mathbb{Z}}\) and \({\mathbb{Z}}[(1+\sqrt{p})/2]\). Zbl 0556.10011
Hsia, J. S.; Hung, D. C.
4
1985
Theta series of ternary and quaternary quadratic forms. Zbl 0513.10021
Hsia, J. S.; Hung, D. C.
4
1983
Integral equivalence of vectors over depleted modular lattices on dyadic local fields. Zbl 0172.04003
Hsia, J. S.
4
1968
Integral equivalence of vectors over local modular lattices. Zbl 0167.32303
Hsia, John S.
4
1967
One-class spinor genera of positive quadratic forms. Zbl 0689.10028
Earnest, A. G.; Hsia, J. S.
3
1991
Regular positive ternary quadratic forms. Zbl 0469.10009
Hsia, J. S.
3
1981
Representations by integral quadratic forms over algebraic number fields. Zbl 0393.10023
Hsia, J. S.
3
1977
On the Witt ring and some arithmetical invariants of quadratic forms. Zbl 0266.10019
Hsia, J. S.
3
1973
On almost strong approximation for algebraic groups. Zbl 1027.20024
Chan, Wai Kiu; Hsia, J. S.
2
2002
Effective version of Tartakowsky’s theorem. Zbl 0936.11021
Hsia, J. S.; Icaza, M. I.
2
1999
Spinor genera under field extensions. IV: Spinor class fields. Zbl 0725.11019
Estes, Dennis R.; Hsia, J. S.
2
1990
Even positive definite unimodular quadratic forms over real quadratic fields. Zbl 0708.11023
Hsia, J. S.
2
1989
Even unimodular 8-dimensional quadratic forms over \({\mathbb{Q}}(\sqrt{2})\). Zbl 0643.10013
Hsia, J. S.; Hung, D. C.
2
1989
Springer-type theorems for spinor genera of quadratic forms. Zbl 0314.10017
Earnest, A. G.; Hsia, J. S.
2
1975
An invariant for integral equivalence. Zbl 0225.10030
Hsia, J. S.
2
1971
On the Hasse principle for \(K_ 0\) of quadratic forms over commutative rings. Zbl 0222.13016
Hsia, J. S.
2
1971
A note on the integral equivalence of vectors in characteristic 2. Zbl 0172.04002
Hsia, J. S.
2
1968
Two theorems on integral matrices. Zbl 0408.15012
Hsia, J. S.
1
1978
Spinor genera under field extensions. III: Quadratic extensions. Zbl 0393.10022
Earnest, A. G.; Hsia, J. S.
1
1977
Spinor genera under field extensions. I. Zbl 0393.10020
Earnest, A. G.; Hsia, J. S.
1
1977
An invariant ideal of a group ring of a finite group. II. Zbl 0278.20006
Hsia, J. S.; Peterson, Roger D.
1
1975
On the representation in sums of squares for definite functions in one variable over an algebraic number field. Zbl 0303.12009
Hsia, J. S.; Johnson, Robert P.
1
1974
Unimodular round forms over dyadic local fields. Zbl 0299.12015
Ankeny, Nesmith C.; Hsia, J. S.
1
1974
An invariant ideal of a group ring of a finite group, and applications. Zbl 0278.20005
Hsia, J. S.; Peterson, Roger D.
1
1974
On the Hasse principle for quadratic forms. Zbl 0242.10012
Hsia, J. S.
1
1973
Grothendieck groups of unimodular quadratic forms over local fields. Zbl 0199.34903
Hsia, J. S.
1
1970
One dimensional Witt’s theorem over modular lattices. Zbl 0191.33901
Hsia, J. S.
1
1970
Integral equivalence of vectors over local modular lattices. II. Zbl 0182.07701
Hsia, J. S.
1
1969
On almost strong approximation for algebraic groups. Zbl 1027.20024
Chan, Wai Kiu; Hsia, J. S.
2
2002
Arithmetic of indefinite quadratic forms. Zbl 0992.11032
Hsia, J. S.
6
1999
Effective version of Tartakowsky’s theorem. Zbl 0936.11021
Hsia, J. S.; Icaza, M. I.
2
1999
Representations of indefinite quadratic forms. Zbl 0883.11016
Hsia, J. S.; Shao, Y. Y.; Xu, Fei
11
1998
Almost strong approximations for definite quadratic spaces. Zbl 0894.11013
Hsia, J. S.; Jöchner, M.
10
1997
Primitive representations by spinor genera of ternary quadratic forms. Zbl 0805.11032
Earnest, A. G.; Hsia, J. S.; Hung, D. C.
12
1994
Representations of positive definite Hermitian forms with approximation and primitive properties. Zbl 0797.11040
Hsia, J. S.; Prieto-Cox, J. P.
4
1994
A structure theorem for a pair of quadratic forms. Zbl 0787.11011
Hsia, J. S.; Jöchner, M.; Shao, Y. Y.
4
1993
One-class spinor genera of positive quadratic forms. Zbl 0689.10028
Earnest, A. G.; Hsia, J. S.
3
1991
Spinor regular positive ternary quadratic forms. Zbl 0686.10014
Benham, J. W.; Earnest, A. G.; Hsia, J. S.; Hung, D. C.
4
1990
Spinor genera under field extensions. IV: Spinor class fields. Zbl 0725.11019
Estes, Dennis R.; Hsia, J. S.
2
1990
Even positive definite unimodular quadratic forms over real quadratic fields. Zbl 0708.11023
Hsia, J. S.
2
1989
Even unimodular 8-dimensional quadratic forms over \({\mathbb{Q}}(\sqrt{2})\). Zbl 0643.10013
Hsia, J. S.; Hung, D. C.
2
1989
Even unimodular 12-dimensional quadratic forms over \({\mathbb{Q}}(\sqrt{5})\). Zbl 0622.10015
Costello, Patrick J.; Hsia, John S.
5
1987
Theta series of quaternary quadratic forms over \({\mathbb{Z}}\) and \({\mathbb{Z}}[(1+\sqrt{p})/2]\). Zbl 0556.10011
Hsia, J. S.; Hung, D. C.
4
1985
Spinor equivalence of quadratic forms. Zbl 0532.10012
Benham, J. W.; Hsia, J. S.
9
1983
Sums of three integer squares in complex quadratic fields. Zbl 0524.10016
Estes, Dennis R.; Hsia, J. S.
9
1983
Theta series of ternary and quaternary quadratic forms. Zbl 0513.10021
Hsia, J. S.; Hung, D. C.
4
1983
On spinor exceptional representations. Zbl 0455.10013
Benham, J. W.; Hsia, J. S.
13
1982
Exceptional integers of some ternary quadratic forms. Zbl 0493.10022
Estes, Dennis R.; Hsia, J. S.
7
1982
Regular positive ternary quadratic forms. Zbl 0469.10009
Hsia, J. S.
3
1981
On the classification of unimodular quadratic forms. Zbl 0451.10015
Hsia, J. S.
6
1980
Representations of positive definite quadratic forms. Zbl 0374.10013
Hsia, John S.; Kitaoka, Yoshiyuki; Kneser, Martin
28
1978
Spinor genera under field extensions. II: 2 unramified in the bottom field. Zbl 0393.10021
Earnest, A. G.; Hsia, J. S.
9
1978
Two theorems on integral matrices. Zbl 0408.15012
Hsia, J. S.
1
1978
Representations by integral quadratic forms over algebraic number fields. Zbl 0393.10023
Hsia, J. S.
3
1977
Spinor genera under field extensions. III: Quadratic extensions. Zbl 0393.10022
Earnest, A. G.; Hsia, J. S.
1
1977
Spinor genera under field extensions. I. Zbl 0393.10020
Earnest, A. G.; Hsia, J. S.
1
1977
Representations by spinor genera. Zbl 0328.10018
Hsia, J. S.
22
1976
Spinor norms of local integral rotations. II. Zbl 0334.10012
Earnest, A. G.; Hsia, J. S.
29
1975
Spinor norms of local integral rotations. I. Zbl 0283.10009
Hsia, J. S.
23
1975
Springer-type theorems for spinor genera of quadratic forms. Zbl 0314.10017
Earnest, A. G.; Hsia, J. S.
2
1975
An invariant ideal of a group ring of a finite group. II. Zbl 0278.20006
Hsia, J. S.; Peterson, Roger D.
1
1975
On the representation in sums of squares for definite functions in one variable over an algebraic number field. Zbl 0303.12009
Hsia, J. S.; Johnson, Robert P.
1
1974
Unimodular round forms over dyadic local fields. Zbl 0299.12015
Ankeny, Nesmith C.; Hsia, J. S.
1
1974
An invariant ideal of a group ring of a finite group, and applications. Zbl 0278.20005
Hsia, J. S.; Peterson, Roger D.
1
1974
Round and group quadratic forms over global fields. Zbl 0266.10020
Hsia, J. S.; Johnson, Robert P.
8
1973
Round and Pfister forms over R(t). Zbl 0263.10008
Hsia, J. S.; Johnson, Robert P.
5
1973
On the Witt ring and some arithmetical invariants of quadratic forms. Zbl 0266.10019
Hsia, J. S.
3
1973
On the Hasse principle for quadratic forms. Zbl 0242.10012
Hsia, J. S.
1
1973
An invariant for integral equivalence. Zbl 0225.10030
Hsia, J. S.
2
1971
On the Hasse principle for \(K_ 0\) of quadratic forms over commutative rings. Zbl 0222.13016
Hsia, J. S.
2
1971
Grothendieck groups of unimodular quadratic forms over local fields. Zbl 0199.34903
Hsia, J. S.
1
1970
One dimensional Witt’s theorem over modular lattices. Zbl 0191.33901
Hsia, J. S.
1
1970
Integral equivalence of vectors over local modular lattices. II. Zbl 0182.07701
Hsia, J. S.
1
1969
Integral equivalence of vectors over depleted modular lattices on dyadic local fields. Zbl 0172.04003
Hsia, J. S.
4
1968
A note on the integral equivalence of vectors in characteristic 2. Zbl 0172.04002
Hsia, J. S.
2
1968
Integral equivalence of vectors over local modular lattices. Zbl 0167.32303
Hsia, John S.
4
1967
all top 5

Cited by 127 Authors

18 Hsia, John Sollion
17 Oh, Byeong-Kweon
12 Chan, Wai Kiu
8 Earnest, Andrew G.
7 Teterin, Yu. G.
7 Xu, Fei
6 Arenas-Carmona, Luis
6 Haensch, Anna
6 Schulze-Pillot, Rainer
5 Ji, Chungang
4 Beli, Constantin-Nicolae
4 Estes, Dennis Ray
4 Ju, Jangwon
4 Kane, Ben
4 Kim, Kyoungmin
4 Kitaoka, Yoshiyuki
3 Hung, David C.
3 Kim, Myung-Hwan
3 Pfeuffer, Horst
2 Alpers, Burkhard
2 Benham, J. W.
2 Brzezinski, Juliusz
2 Fomenko, Oleg Mstislavovich
2 Icaza, Maria Ines
2 James, Donald G.
2 Jochner, Michael
2 Kala, Vítězslav
2 Kim, Byeong Moon
2 Scharlau, Rudolf
2 Sun, Zhi-Wei
2 Wu, Hai-Liang
2 Yatsyna, Pavlo
1 Andrews, George Eyre
1 Ankeny, Nesmith C.
1 Arenas, Alberto
1 Baeza, Ricardo
1 Bayer Isant, Pilar
1 Becker, Eberhard
1 Berkovich, Alexander
1 Blomer, Valentin
1 Böge, Sigrid
1 Bon Durant, William R.
1 Bruinier, Jan Hendrik
1 Cogdell, James W.
1 Colliot-Thélène, Jean-Louis
1 Conway, John Horton
1 Costello, Patrick J.
1 Coulangeon, Renaud
1 Dietmann, Rainer
1 Ehlen, Stephan Jakob
1 Ellenberg, Jordan S.
1 Elman, Richard S.
1 Freitag, Eberhard
1 Gerstein, Larry J.
1 Griess, Robert L. jun.
1 Hambleton, Ian
1 Hanke, Jonathan P.
1 Harcos, Gergely
1 Harvey, Michael
1 Hashimoto, Kenji
1 Hashimoto, Ki-ichiro
1 Hemkemeier, Boris
1 Hoffmann, Detlev W.
1 Huang, Huajun
1 Khosravani, Azar N.
1 Kim, Daejun
1 Kim, Ji Young
1 Kim, Ki Hang
1 Kim, Mingyu
1 Kirschmer, Markus
1 Knebusch, Manfred
1 Köpping, Eberhard
1 Kramer, Jürg
1 Krásenský, Jakub
1 Lam, Ching Hung
1 Lee, Inhwan
1 Lee, Youngmin
1 Leep, David B.
1 Lemurell, Stefan
1 Li, Han
1 Liu, Jingbo
1 Lü, JianRui
1 Lu, Wei
1 Maclachlan, Colin
1 Mantilla-Soler, Guillermo
1 Margulis, Grigoriĭ Aleksandrovich
1 Marshall, Murray Angus
1 Mauldin, Richard Daniel
1 Mazur, Barry
1 Nebe, Gabriele
1 Nguyen Quoc Thang
1 Nipp, Gordon L.
1 Oishi-Tomiyasu, Ryoko
1 O’Shea, James
1 Park, Poo-Sung
1 Pehlivan, Lerna
1 Pei, Dingyi
1 Peterson, Roger D.
1 Petukhov, L. V.
1 Qin, Hourong
...and 27 more Authors
all top 5

Cited in 46 Serials

41 Journal of Number Theory
9 Journal of Soviet Mathematics
8 Proceedings of the American Mathematical Society
7 Journal of Algebra
7 Transactions of the American Mathematical Society
7 International Journal of Number Theory
5 Archiv der Mathematik
5 Inventiones Mathematicae
5 Mathematische Annalen
5 Nagoya Mathematical Journal
4 Linear and Multilinear Algebra
4 Acta Arithmetica
4 Advances in Mathematics
4 Mathematische Zeitschrift
4 Mathematika
3 Duke Mathematical Journal
3 Manuscripta Mathematica
2 Mathematics of Computation
2 Geometric and Functional Analysis. GAFA
2 Journal de Théorie des Nombres de Bordeaux
2 The Ramanujan Journal
2 Comptes Rendus. Mathématique. Académie des Sciences, Paris
1 Bulletin of the Australian Mathematical Society
1 Israel Journal of Mathematics
1 Journal of Applied Mathematics and Mechanics
1 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg
1 Annales de l’Institut Fourier
1 Compositio Mathematica
1 Journal of Geometry
1 Journal of Pure and Applied Algebra
1 Michigan Mathematical Journal
1 Pacific Journal of Mathematics
1 Proceedings of the Edinburgh Mathematical Society. Series II
1 Proceedings of the Japan Academy. Series A
1 Results in Mathematics
1 Forum Mathematicum
1 Bulletin of the American Mathematical Society. New Series
1 Journal of Mathematical Sciences (New York)
1 The New York Journal of Mathematics
1 Geometry & Topology
1 Integers
1 Bulletin of the American Mathematical Society
1 Proceedings of the Japan Academy
1 Proyecciones
1 Science China. Mathematics
1 Research in Number Theory

Citations by Year

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