Leonid N. Vaserstein

    • 1250 Citations
    • 18 h-Index
    1968 …2014

    Research output per year

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    Research Output

    • 1250 Citations
    • 18 h-Index
    • 80 Article
    • 1 Review article
    2014

    Polynomial parametrization of integer matrices with given determinant

    Gallardo, L. H. & Vaserstein, L. N., Feb 1 2014, In : Journal of Pure and Applied Algebra. 218, 2, p. 321-322 2 p.

    Research output: Contribution to journalArticle

    The stable rank of pullbacks

    Vaserstein, L. N., Jul 15 2014, In : Journal of Algebra. 410, p. 239-243 5 p.

    Research output: Contribution to journalArticle

    2012

    Polynomial parametrization of Pythagorean quadruples, quintuples and sextuples

    Frisch, S. & Vaserstein, L., Jan 1 2012, In : Journal of Pure and Applied Algebra. 216, 1, p. 184-191 8 p.

    Research output: Contribution to journalArticle

    3 Scopus citations
    2010

    Polynomial parametrization for the solutions of Diophantine equations and arithmetic groups

    Vaserstein, L., Jul 6 2010, In : Annals of Mathematics. 171, 2, p. 979-1009 31 p.

    Research output: Contribution to journalArticle

    7 Scopus citations

    Polynomial parametrization of pythagorean tuples

    Vaserstein, L., Sakkalis, T. & Frisch, S., Sep 1 2010, In : International Journal of Number Theory. 6, 6, p. 1261-1272 12 p.

    Research output: Contribution to journalArticle

    2 Scopus citations

    Sums and strict sums of biquadrates in Fq[t],qε{3,9}

    Gallardo, L. H. & Vaserstein, L. N., Dec 1 2010, In : Rocky Mountain Journal of Mathematics. 40, 6, p. 1863-1874 12 p.

    Research output: Contribution to journalArticle

    2009

    Non-existence of rational arc length parameterizations for curves in Rn

    Sakkalis, T., Farouki, R. T. & Vaserstein, L., Jun 1 2009, In : Journal of Computational and Applied Mathematics. 228, 1, p. 494-497 4 p.

    Research output: Contribution to journalArticle

    11 Scopus citations

    Similarity classes of 3 × 3 matrices over a local principal ideal ring

    Avni, N., Onn, U., Prasad, A. & Vaserstein, L., Aug 1 2009, In : Communications in Algebra. 37, 8, p. 2601-2615 15 p.

    Research output: Contribution to journalArticle

    13 Scopus citations
    2008

    About the period of bell numbers modulo a prime

    Car, M., Gallardo, L. H., Rahavandrainy, O. & Vaserstein, L. N., Jan 1 2008, In : Bulletin of the Korean Mathematical Society. 45, 1, p. 143-155 13 p.

    Research output: Contribution to journalArticle

    4 Scopus citations

    Parametrization of Pythagorean triples by a single triple of polynomials

    Frisch, S. & Vaserstein, L., Jan 1 2008, In : Journal of Pure and Applied Algebra. 212, 1, p. 271-274 4 p.

    Research output: Contribution to journalArticle

    8 Scopus citations

    The strict Waring problem for polynomial rings

    Gallardo, L. H. & Vaserstein, L. N., Dec 1 2008, In : Journal of Number Theory. 128, 12, p. 2963-2972 10 p.

    Research output: Contribution to journalArticle

    11 Scopus citations
    2007

    Representations of polynomials over finite fields of characteristic two as A2 + A + B C + D3

    Gallardo, L., Rahavandrainy, O. & Vaserstein, L. N., Jul 1 2007, In : Finite Fields and their Applications. 13, 3, p. 648-658 11 p.

    Research output: Contribution to journalArticle

    3 Scopus citations
    2006

    A note on Bruhat decomposition of GL(n) over local principal ideal rings

    Onn, U., Prasad, A. & Vaserstein, L., Nov 1 2006, In : Communications in Algebra. 34, 11, p. 4119-4130 12 p.

    Research output: Contribution to journalArticle

    7 Scopus citations
    2005

    On the Whitehead determinant for semi-local rings

    Vaserstein, L. N., Jan 15 2005, In : Journal of Algebra. 283, 2, p. 690-699 10 p.

    Research output: Contribution to journalArticle

    16 Scopus citations
    2003

    Vanishing polynomial sums

    Vaserstein, L. N. & Wheland, E. R., Feb 1 2003, In : Communications in Algebra. 31, 2, p. 751-772 22 p.

    Research output: Contribution to journalArticle

    1 Scopus citations
    2002

    On the diophantine equation a3+b3+c3+d3=0

    Gar-El, R. & Vaserstein, L., Jan 1 2002, In : Journal of Number Theory. 94, 2, p. 219-223 5 p.

    Research output: Contribution to journalArticle

    2 Scopus citations
    2000

    Quantum (abc)-Theorems

    Vaserstein, L. N., Apr 2000, In : Journal of Number Theory. 81, 2, p. 351-358 8 p.

    Research output: Contribution to journalArticle

    5 Scopus citations

    Two-dimensional representations of the free group in two generators over an arbitrary field

    Vaserstein, L. & Wheland, E., Mar 1 2000, In : Linear Algebra and Its Applications. 307, 1-3, p. 145-150 6 p.

    Research output: Contribution to journalArticle

    2 Scopus citations
    1998

    Rigid relations in GL2F

    Vaserstein, L. N. & Wheland, E., Sep 15 1998, In : Linear Algebra and Its Applications. 281, 1-3, p. 25-31 7 p.

    Research output: Contribution to journalArticle

    2 Scopus citations
    1995

    Commutators in pseudo-orthogonal groups

    Arlinghaus, F. A., Vaserstein, L. N. & You, H., Dec 1995, In : Journal of the Australian Mathematical Society. 59, 3, p. 353-365 13 p.

    Research output: Contribution to journalArticle

    3 Scopus citations

    Normal subgroups of classical groups over rings

    Vaserstein, L. N. & You, H., Nov 24 1995, In : Journal of Pure and Applied Algebra. 105, 1, p. 93-105 13 p.

    Research output: Contribution to journalArticle

    32 Scopus citations

    Products of conjugacy classes of two by two matrices

    Vaserstein, L. & Wheland, E., Jan 1 1995, In : Linear Algebra and Its Applications. 230, p. 165-188 24 p.

    Research output: Contribution to journalArticle

    6 Scopus citations

    Products of involutory matrices over rings

    Arlinghaus, F. A., Vaserstein, L. N. & You, H., Nov 1 1995, In : Linear Algebra and Its Applications. 229, C, p. 37-47 11 p.

    Research output: Contribution to journalArticle

    1 Scopus citations
    1994

    Normal subgroups of classical groups over von neumann regular rings

    Arlinghaus, F. A., Vaserstein, L. N. & You, H., Nov 1 1994, In : Journal of Algebra. 169, 3, p. 863-873 11 p.

    Research output: Contribution to journalArticle

    On the groups SL2(ℤ[x]) and SL2(k[x, y])

    Grunewald, F., Mennicke, J. & Vaserstein, L., Oct 1 1994, In : Israel Journal of Mathematics. 86, 1-3, p. 157-193 37 p.

    Research output: Contribution to journalArticle

    17 Scopus citations
    1993

    Isometric embed-dings between classical Banach spaces, cubature formulas, and spherical designs

    Lyubich, Y. I. & Vaserstein, L. N., Sep 1 1993, In : Geometriae Dedicata. 47, 3, p. 327-362 36 p.

    Research output: Contribution to journalArticle

    30 Scopus citations
    1991

    An improved algorithm for finding saddlepoints of two-person zero-sum games

    Byrne, E. C. C. & Vaserstein, L. N., Jun 1 1991, In : International Journal of Game Theory. 20, 2, p. 149-159 11 p.

    Research output: Contribution to journalArticle

    On subgroups of GL2 over Banach algebras and von Neumann regular rings which are normalized by elementary matrices

    Menal, P. & Vaserstein, L. N., Apr 1 1991, In : Journal of Algebra. 138, 1, p. 99-120 22 p.

    Research output: Contribution to journalArticle

    1 Scopus citations

    On symplectic groups over polynomial rings

    Grunewald, F., Mennicke, J. & Vaserstein, L. N., Jan 1 1991, In : Mathematische Zeitschrift. 206, 1, p. 35-56 22 p.

    Research output: Contribution to journalArticle

    15 Scopus citations

    Sums of cubes in polynomial rings

    Vaserstein, L. N., Jan 1991, In : Mathematics of Computation. 56, 193, p. 349-357 9 p.

    Research output: Contribution to journalArticle

    17 Scopus citations
    1990

    Commutators and companion matrices over rings of stable rank 1

    Vaserstein, L. N. & Wheland, E., Dec 1990, In : Linear Algebra and Its Applications. 142, C, p. 263-277 15 p.

    Research output: Contribution to journalArticle

    30 Scopus citations

    Factorization of Invertible Matrices Over Rings of Stable Rank One

    Vaserstein, L. N. & Wheland, E., Jun 1990, In : Journal of the Australian Mathematical Society. 48, 3, p. 455-460 6 p.

    Research output: Contribution to journalArticle

    13 Scopus citations

    On the structure of GL2 over stable range one rings

    Menal, P. & Vaserstein, L. N., Jun 12 1990, In : Journal of Pure and Applied Algebra. 64, 2, p. 149-162 14 p.

    Research output: Contribution to journalArticle

    5 Scopus citations

    The subnormal structure of general linear groups over rings

    Vaserstein, L. N., Jan 1 1990, In : Mathematical Proceedings of the Cambridge Philosophical Society. 108, 2, p. 219-229 11 p.

    Research output: Contribution to journalArticle

    17 Scopus citations
    1989

    Commutators in linear groups

    Dennis, R. K. & Vaserstein, L. N., Nov 1 1989, In : K-Theory. 2, 6, p. 761-767 7 p.

    Research output: Contribution to journalArticle

    14 Scopus citations

    Normal subgroups of symplectic groups over rings

    Vaserstein, L. N., Sep 1 1989, In : K-Theory. 2, 5, p. 647-673 27 p.

    Research output: Contribution to journalArticle

    21 Scopus citations

    On subgroups of GL2 over non-commutative local rings which are normalized by elementary matrices

    Menal, P. & Vaserstein, L. N., Oct 1 1989, In : Mathematische Annalen. 285, 2, p. 221-231 11 p.

    Research output: Contribution to journalArticle

    4 Scopus citations
    1988

    Absolute stable rank and Witt cancellation for noncommutative rings

    Magurn, B. A., Van der Kallen, W. & Vaserstein, L. N., Oct 1 1988, In : Inventiones Mathematicae. 91, 3, p. 525-542 18 p.

    Research output: Contribution to journalArticle

    25 Scopus citations

    Every integer is a sum or difference of 28 integral eighth powers

    Vaserstein, L. N., Jan 1 1988, In : Journal of Number Theory. 28, 1, p. 66-68 3 p.

    Research output: Contribution to journalArticle

    3 Scopus citations

    Matrix zeros of quadratic equations

    Dafni, G. & Vaserstein, L. N., Jan 1 1988, In : Journal of Number Theory. 30, 1, p. 27-50 24 p.

    Research output: Contribution to journalArticle

    2 Scopus citations

    Normal subgroups of classical groups over Banach algebras

    Vaserstein, L. N., Dec 1 1988, In : Commentarii Mathematici Helvetici. 63, 1, p. 103-107 5 p.

    Research output: Contribution to journalArticle

    2 Scopus citations

    On a question of M. Newman on the number of commutators

    Dennis, R. K. & Vaserstein, L. N., Oct 1988, In : Journal of Algebra. 118, 1, p. 150-161 12 p.

    Research output: Contribution to journalArticle

    42 Scopus citations
    16 Scopus citations

    Subnormal structure of the general linear groups over Banach algebras

    Vaserstein, L. N., May 1988, In : Journal of Pure and Applied Algebra. 52, 1-2, p. 187-195 9 p.

    Research output: Contribution to journalArticle

    10 Scopus citations
    1987

    Computation of k1via mennicke symbols

    Vaserstein, L. N., Jan 1987, In : Communications in Algebra. 15, 3, p. 611-656 46 p.

    Research output: Contribution to journalArticle

    11 Scopus citations

    On The Sum Of Powers Of Matrices

    Vaserstein, L. N., Nov 1 1987, In : Linear and Multilinear Algebra. 21, 3, p. 261-270 10 p.

    Research output: Contribution to journalArticle

    9 Scopus citations

    Prestabilization for K1 of banach algebras

    Vaserstein, L. N. & Magurnt, B. A., Oct 1987, In : Linear Algebra and Its Applications. 95, C, p. 69-96 28 p.

    Research output: Contribution to journalArticle

    2 Scopus citations

    Waring's problem for algebras over fields

    Vaserstein, L. N., Jul 1987, In : Journal of Number Theory. 26, 3, p. 286-298 13 p.

    Research output: Contribution to journalArticle

    20 Scopus citations

    Waring's problem for commutative rings

    Vaserstein, L. N., Jul 1987, In : Journal of Number Theory. 26, 3, p. 299-307 9 p.

    Research output: Contribution to journalReview article

    13 Scopus citations
    1986

    An answer to a question of M. Newman on matrix completion

    Vaserstein, L. N., Jun 1986, In : Proceedings of the American Mathematical Society. 97, 2, p. 189-196 8 p.

    Research output: Contribution to journalArticle

    4 Scopus citations