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Shapiro, Daniel Byron

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Author ID: shapiro.daniel-b Recent zbMATH articles by "Shapiro, Daniel Byron"
Published as: Shapiro, Daniel B.; Shapiro, D. B.; Shapiro, Daniel
Homepage: https://people.math.osu.edu/shapiro.6/
External Links: MGP · ResearchGate
Documents Indexed: 40 Publications since 1975, including 1 Book
Reviewing Activity: 7 Reviews
Co-Authors: 19 Co-Authors with 23 Joint Publications
419 Co-Co-Authors

Publications by Year

Citations contained in zbMATH Open

33 Publications have been cited 242 times in 187 Documents Cited by Year
Compositions of quadratic forms. Zbl 0954.11011
Shapiro, Daniel B.
42
2000
Hyperbolic involutions. Zbl 0796.16029
Bayer-Fluckiger, E.; Shapiro, Daniel B.; Tignol, J.-P.
34
1993
Products of sums of squares. Zbl 0541.10025
Shapiro, Daniel B.
17
1984
Discriminants of involutions on biquaternion algebras. Zbl 0828.11023
Knus, M.-A.; Lam, T. Y.; Shapiro, D. B.; Tignol, J.-P.
12
1995
The Albert quadratic form for an algebra of degree four. Zbl 0669.10042
Mammone, P.; Shapiro, D. B.
11
1989
Multiplicative subgroups of finite index in a ring. Zbl 0784.12002
Bergelson, Vitaly; Shapiro, Daniel B.
11
1992
On multiples of round and Pfister forms. Zbl 0355.15022
Wadsworth, Adrian R.; Shapiro, Daniel B.
11
1977
Witt rings and Brauer groups under multiquadratic extensions. II. Zbl 0492.10015
Shapiro, Daniel B.; Tignol, Jean-Pierre; Wadsworth, Adrian R.
11
1982
On trace forms of higher degree. Zbl 0867.16010
O’Ryan, Manuel; Shapiro, Daniel B.
9
1996
Spaces of similarities. I: The Hurwitz problem. Zbl 0358.15024
Shapiro, Daniel B.
9
1977
Spaces of similarities. III: Function fields. Zbl 0358.15026
Wadsworth, Adrian R.; Shapiro, Daniel B.
8
1977
Conservative quadratic forms. Zbl 0371.15011
Gentile, Enzo R.; Shapiro, Daniel B.
7
1978
A periodicity problem in plane geometry. Zbl 0528.51009
Shapiro, Daniel B.
6
1984
Multiplicative subgroups of index three in a field. Zbl 0684.12015
Leep, David B.; Shapiro, Daniel B.
6
1989
Sums of squares in division algebras. Zbl 0548.16019
Leep, David B.; Shapiro, Daniel B.; Wadsworth, Adrian R.
5
1985
Spaces of similarities. IV: (s,t)-families. Zbl 0326.15015
Shapiro, Daniel B.
5
1976
Spaces of similarities. II: Pfister factors. Zbl 0358.15025
Shapiro, Daniel B.
5
1977
Centers of higher degree forms. Zbl 1047.11037
O’Ryan, Manuel; Shapiro, Daniel B.
4
2003
On isoclinic closure: Correction to ’Elliptic spaces in Grassmann manifolds’. Zbl 0303.53051
Shapiro, Daniel B.; Wolf, Joseph A.
4
1975
Hasse principle for the Hurwitz problem. Zbl 0376.10018
Shapiro, Daniel B.
3
1978
Cancellation of semisimple hermitian pairings. Zbl 0341.16005
Shapiro, Daniel B.
3
1976
Piecewise equivalence of quadratic forms. Zbl 0505.10009
Shapiro, Daniel B.; Leep, David
3
1983
Trace form preservers. Zbl 0930.15007
Shapiro, Daniel B.
3
1999
The principal axis theorem over arbitrary fields. Zbl 0803.12001
Mornhinweg, David; Shapiro, Daniel B.; Valente, K. G.
2
1993
Similarities and isoclinic planes. Zbl 0392.51010
Shapiro, Daniel B.
2
1978
Composites of algebraically closed fields. Zbl 0705.12005
Shapiro, Daniel B.
2
1990
On the Hurwitz problem over an arbitrary field. Zbl 0586.10014
Shapiro, Daniel B.
1
1984
On multiples of round and Pfister forms. Zbl 0348.15015
Wadsworth, Adrian R.; Shapiro, Daniel B.
1
1977
Iterated exponents in number theory. Zbl 1165.11006
Shapiro, Daniel B.; Shapiro, S. David
1
2007
The square class invariant for pythagorean fields. Zbl 0493.10024
Shapiro, Daniel B.; Lam, T.-Y.
1
1982
Homometric elements in semisimple rings. Zbl 0693.16014
Rosenblatt, Joseph; Shapiro, Daniel B.
1
1989
Centers of higher degree trace forms. Zbl 1281.15026
Shapiro, Daniel B.; O’Ryan, Manuel
1
2013
Product formulas for quadratic forms. Zbl 0832.11015
Shapiro, Daniel B.; Szyjewski, Marek
1
1992
Centers of higher degree trace forms. Zbl 1281.15026
Shapiro, Daniel B.; O’Ryan, Manuel
1
2013
Iterated exponents in number theory. Zbl 1165.11006
Shapiro, Daniel B.; Shapiro, S. David
1
2007
Centers of higher degree forms. Zbl 1047.11037
O’Ryan, Manuel; Shapiro, Daniel B.
4
2003
Compositions of quadratic forms. Zbl 0954.11011
Shapiro, Daniel B.
42
2000
Trace form preservers. Zbl 0930.15007
Shapiro, Daniel B.
3
1999
On trace forms of higher degree. Zbl 0867.16010
O’Ryan, Manuel; Shapiro, Daniel B.
9
1996
Discriminants of involutions on biquaternion algebras. Zbl 0828.11023
Knus, M.-A.; Lam, T. Y.; Shapiro, D. B.; Tignol, J.-P.
12
1995
Hyperbolic involutions. Zbl 0796.16029
Bayer-Fluckiger, E.; Shapiro, Daniel B.; Tignol, J.-P.
34
1993
The principal axis theorem over arbitrary fields. Zbl 0803.12001
Mornhinweg, David; Shapiro, Daniel B.; Valente, K. G.
2
1993
Multiplicative subgroups of finite index in a ring. Zbl 0784.12002
Bergelson, Vitaly; Shapiro, Daniel B.
11
1992
Product formulas for quadratic forms. Zbl 0832.11015
Shapiro, Daniel B.; Szyjewski, Marek
1
1992
Composites of algebraically closed fields. Zbl 0705.12005
Shapiro, Daniel B.
2
1990
The Albert quadratic form for an algebra of degree four. Zbl 0669.10042
Mammone, P.; Shapiro, D. B.
11
1989
Multiplicative subgroups of index three in a field. Zbl 0684.12015
Leep, David B.; Shapiro, Daniel B.
6
1989
Homometric elements in semisimple rings. Zbl 0693.16014
Rosenblatt, Joseph; Shapiro, Daniel B.
1
1989
Sums of squares in division algebras. Zbl 0548.16019
Leep, David B.; Shapiro, Daniel B.; Wadsworth, Adrian R.
5
1985
Products of sums of squares. Zbl 0541.10025
Shapiro, Daniel B.
17
1984
A periodicity problem in plane geometry. Zbl 0528.51009
Shapiro, Daniel B.
6
1984
On the Hurwitz problem over an arbitrary field. Zbl 0586.10014
Shapiro, Daniel B.
1
1984
Piecewise equivalence of quadratic forms. Zbl 0505.10009
Shapiro, Daniel B.; Leep, David
3
1983
Witt rings and Brauer groups under multiquadratic extensions. II. Zbl 0492.10015
Shapiro, Daniel B.; Tignol, Jean-Pierre; Wadsworth, Adrian R.
11
1982
The square class invariant for pythagorean fields. Zbl 0493.10024
Shapiro, Daniel B.; Lam, T.-Y.
1
1982
Conservative quadratic forms. Zbl 0371.15011
Gentile, Enzo R.; Shapiro, Daniel B.
7
1978
Hasse principle for the Hurwitz problem. Zbl 0376.10018
Shapiro, Daniel B.
3
1978
Similarities and isoclinic planes. Zbl 0392.51010
Shapiro, Daniel B.
2
1978
On multiples of round and Pfister forms. Zbl 0355.15022
Wadsworth, Adrian R.; Shapiro, Daniel B.
11
1977
Spaces of similarities. I: The Hurwitz problem. Zbl 0358.15024
Shapiro, Daniel B.
9
1977
Spaces of similarities. III: Function fields. Zbl 0358.15026
Wadsworth, Adrian R.; Shapiro, Daniel B.
8
1977
Spaces of similarities. II: Pfister factors. Zbl 0358.15025
Shapiro, Daniel B.
5
1977
On multiples of round and Pfister forms. Zbl 0348.15015
Wadsworth, Adrian R.; Shapiro, Daniel B.
1
1977
Spaces of similarities. IV: (s,t)-families. Zbl 0326.15015
Shapiro, Daniel B.
5
1976
Cancellation of semisimple hermitian pairings. Zbl 0341.16005
Shapiro, Daniel B.
3
1976
On isoclinic closure: Correction to ’Elliptic spaces in Grassmann manifolds’. Zbl 0303.53051
Shapiro, Daniel B.; Wolf, Joseph A.
4
1975
all top 5

Cited by 179 Authors

17 Tignol, Jean-Pierre
12 Shapiro, Daniel Byron
7 Mahmoudi, Mohammad Gholamzadeh
7 Nokhodkar, Amir Hossein
7 Quéguiner-Mathieu, Anne
6 Wadsworth, Adrian R.
5 Laghribi, Ahmed
5 Rapinchuk, Andrei S.
4 Dolphin, Andrew
4 Elduque, Alberto
4 Hoffmann, Detlev W.
4 Leep, David B.
4 Parimala, Raman
4 Sivatski, Alexander S.
4 Yiu, Paul Y. H.
3 Bajnok, Béla
3 Barry, Demba
3 Becher, Karim Johannes
3 Fitzgerald, Robert W.
3 Lam, Tsit-Yuen
3 Lewis, David W.
3 O’Shea, James
3 Ovsienko, Valentin Yu.
3 Pérez, José María
3 Tkachev, Vladimir G.
3 Toth, Gabor
2 Bayer-Fluckiger, Eva
2 Berrizbeitia, Pedro
2 Chapman, Adam
2 Chlebowicz, Agnieszka
2 Efrat, Ido
2 Eliahou, Shalom
2 Garibaldi, Skip
2 Hrubeš, Pavel
2 Huang, Hua-Lin
2 Jacob, Bill
2 Kervaire, Michel A.
2 Kostadinov, Boyan
2 Koulmann, Pascale
2 Lam, Kee Yuen
2 Ławrynowicz, Julian Mieczysław
2 Matzke, Ryan W.
2 Merkur’ev, Aleksandr Sergeevich
2 Morier-Genoud, Sophie
2 Nicollier, Grégoire
2 O’Ryan, Manuel
2 Rembieliński, Jakub
2 Segev, Yoav
2 Sładek, Andrzej
2 Sridharan, Ramaiyengar
2 Suresh, Venapally
2 Unger, Thomas P.
2 Wołowiec-Musiał, Małgorzata
2 Yuzvinsky, Sergey
2 Zhang, Chi
1 Adkins, William A.
1 Alarcon, Ignacio
1 Allouche, Jean-Paul Simon
1 Alpers, Burkhard
1 Ameri, Reza
1 Anghel, Nicolae
1 Aragón González, Gerardo
1 Aravire, Roberto
1 Auel, Asher Natan
1 Baek, Sanghoon
1 Bergelson, Vitaly
1 Berger, Marc A.
1 Berhuy, Grégory
1 Bhaskhar, Nivedita
1 Black, Jodi
1 Brenner, Sheila
1 Brooke-Taylor, Andrew D.
1 Bruckstein, Alfred Marcel
1 Brussel, Eric S.
1 Butler, Michael C. R.
1 Calderoni, Filippo
1 Calmès, Baptiste
1 Calvert, Wesley
1 Carnal, Henri
1 Chi, Quo-Shin
1 Chua, Lynn
1 Cordes, Craig M.
1 Dejaiffe, Ingrid
1 Després, Bruno
1 Elman, Richard S.
1 Elomary, Mohamed Abdou
1 Escobales, Richard H. jun.
1 Even-Zohar, Chaim
1 Eyvazi, M.
1 Fel’dman, Gennadiĭ Mikhaĭlovich
1 Foreman, David L.
1 Friedland, Shmuel
1 Frings, Christoph
1 Gallardo, Luis Henri
1 Garcia, Ronaldo A.
1 Garibaldi, Ryan Skip
1 Gauchman, Hillel
1 Gentile, Enzo R.
1 Ghergu, Marius
1 Gille, Philippe
...and 79 more Authors
all top 5

Cited in 71 Serials

25 Journal of Algebra
11 Journal of Pure and Applied Algebra
10 Communications in Algebra
10 Mathematische Zeitschrift
8 Proceedings of the American Mathematical Society
8 Linear Algebra and its Applications
7 Linear and Multilinear Algebra
6 Journal of Number Theory
6 Transactions of the American Mathematical Society
5 Israel Journal of Mathematics
5 Manuscripta Mathematica
4 Journal of Algebra and its Applications
3 Beiträge zur Algebra und Geometrie
3 Mathematische Annalen
3 Pacific Journal of Mathematics
3 Proceedings of the Indian Academy of Sciences. Mathematical Sciences
2 Journal of Mathematical Physics
2 Publications Mathématiques
2 Inventiones Mathematicae
2 Osaka Journal of Mathematics
2 Tokyo Journal of Mathematics
2 Annales de la Faculté des Sciences de Toulouse. Série V. Mathématiques
2 Journal of the American Mathematical Society
2 Expositiones Mathematicae
2 Indagationes Mathematicae. New Series
2 Transformation Groups
2 International Journal of Applied and Computational Mathematics
1 Communications in Mathematical Physics
1 International Journal of Mathematical Education in Science and Technology
1 Mathematical Notes
1 Mathematical Proceedings of the Cambridge Philosophical Society
1 Mathematische Semesterberichte
1 Rocky Mountain Journal of Mathematics
1 The Mathematical Intelligencer
1 Advances in Mathematics
1 Archiv der Mathematik
1 Compositio Mathematica
1 Fundamenta Mathematicae
1 Geometriae Dedicata
1 Journal of Geometry
1 Journal für die Reine und Angewandte Mathematik
1 Rendiconti del Circolo Matemàtico di Palermo. Serie II
1 Results in Mathematics
1 Theoretical Computer Science
1 European Journal of Combinatorics
1 Acta Mathematica Hungarica
1 Acta Applicandae Mathematicae
1 Graphs and Combinatorics
1 Journal of Theoretical Probability
1 SIAM Journal on Matrix Analysis and Applications
1 Differential Geometry and its Applications
1 The Journal of Geometric Analysis
1 Numerical Algorithms
1 L’Enseignement Mathématique. 2e Série
1 The Australasian Journal of Combinatorics
1 Applied and Computational Harmonic Analysis
1 Combinatorics, Probability and Computing
1 Journal of Mathematical Sciences (New York)
1 Turkish Journal of Mathematics
1 Advances in Applied Clifford Algebras
1 The Electronic Journal of Combinatorics
1 The Bulletin of Symbolic Logic
1 Boletín de la Sociedad Matemática Mexicana. Third Series
1 Acta Mathematica et Informatica Universitatis Ostraviensis
1 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
1 Bulletin of the American Mathematical Society
1 Proceedings of the Steklov Institute of Mathematics
1 Complex Analysis and Operator Theory
1 Journal of \(K\)-Theory
1 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
1 AIMS Mathematics

Citations by Year