# zbMATH — the first resource for mathematics

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 Documents Indexed: 36 Publications since 1965, including 2 Books
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#### Co-Authors

 17 single-authored 9 Loustaunau, Philippe 3 Struppa, Daniele Carlo 2 Berenstein, Carlos Alberto 2 Boyle, Ann K. 2 Sabadini, Irene 2 Shanks, Daniel C. 2 Straus, Ernst G. 1 Davison, J. Leslie 1 Goldstein, Larry Joel 1 Hoşten, Serkan 1 Lang, Serge 1 Liverance, Eric 1 Miller, J. Lyn 1 Palamodov, Victor Pavlovitch 1 Razar, Michael J. 1 Rieffel, Marc A.
all top 5

#### Serials

 4 Mathematics of Computation 3 Pacific Journal of Mathematics 3 Proceedings of the American Mathematical Society 3 Journal of Symbolic Computation 2 American Journal of Mathematics 2 Journal of Pure and Applied Algebra 1 Communications in Algebra 1 Annales de l’Institut Fourier 1 Duke Mathematical Journal 1 Illinois Journal of Mathematics 1 Journal of Algebra 1 Journal of Number Theory 1 Journal für die Reine und Angewandte Mathematik 1 Mathematika 1 Nagoya Mathematical Journal 1 Proceedings of the London Mathematical Society. Third Series 1 Complex Variables. Theory and Application 1 The Journal of Geometric Analysis 1 Proceedings of the National Academy of Sciences of the United States of America 1 Bulletin of the Institute of Combinatorics and its Applications 1 Graduate Studies in Mathematics
all top 5

#### Fields

 16 Number theory (11-XX) 8 Commutative algebra (13-XX) 5 Functions of a complex variable (30-XX) 2 Field theory and polynomials (12-XX) 2 Partial differential equations (35-XX) 1 Algebraic geometry (14-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Computer science (68-XX)

#### Citations contained in zbMATH Open

33 Publications have been cited 656 times in 530 Documents Cited by Year
An introduction to Gröbner bases. Zbl 0803.13015
1994
Lifting standard bases in filtered structures. Zbl 0811.13020
1994
Regular functions of several quaternionic variables and the Cauchy-Fueter complex. Zbl 0966.35088
Adams, W. W.; Berenstein, C. A.; Loustaunau, P.; Sabadini, I.; Struppa, D. C.
1999
Hartog’s phenomenon for polyregular functions and projective dimension of related modules over a polynomial ring. Zbl 0974.32005
Adams, William W.; Loustaunau, Philippe; Palamodov, Victor P.; Struppa, Daniele C.
1997
Non-Archimedian analytic functions taking the same values at the same points. Zbl 0215.13202
Adams, W. W.; Straus, E. G.
1971
Multiples of points on elliptic curves and continued fractions. Zbl 0403.14002
Adams, William W.; Razar, Michael J.
1980
Introduction to number theory. Zbl 0326.10001
Adams, William W.; Goldstein, Larry Joel
1976
A remarkable class of continued fractions. Zbl 0366.10027
Adams, William W.; Davison, J. L.
1977
Transcendental numbers in the p-adic domain. Zbl 0144.29301
1966
Analysis of the module determining the properties of regular functions of several quaternionic variables. Zbl 1071.13503
2000
Gröbner bases and primary decomposition in polynomial rings in one variable over Dedekind domains. Zbl 0908.13021
1997
Strong primality tests that are not sufficient. Zbl 0492.10005
1982
Simultaneous asymptotic diophantine approximations. Zbl 0153.07202
1967
Adjoint functors and derived functors with an application to the cohomology of semigroups. Zbl 0153.02901
Adams, W. W.; Rieffel, M. A.
1967
Asymptotic diophantine approximations to $$e$$. Zbl 0131.04704
1966
On the algebraic independence of certain Liouville numbers. Zbl 0387.10022
1978
Simultaneous diophantine approximations and cubic irrationals. Zbl 0182.37803
1969
Asymptotic diophantine approximations and Hurwitz numbers. Zbl 0189.05001
1967
SAGBI and SAGBI-Gröbner bases over principal ideal domains. Zbl 0930.13021
Adams, William W.; Hoşten, Serkan; Loustaunau, Philippe; Miller, J. Lyn
1999
The algebraic independence of certain Liouville continued fractions. Zbl 0596.10035
1985
Simultaneous asymptotic diophantine approximations to a basis of real cubic number field. Zbl 0172.06501
1969
On compact singularities for regular functions of one quaternionic variable. Zbl 0865.30065
Adams, W. W.; Berenstein, C. A.; Loustaunau, P.; Sabadini, I.; Struppa, D. C.
1996
The best two-dimensional diophantine approximation constant for cubic irrationals. Zbl 0431.10018
1981
Transitivity for weak and strong Gröbner bases. Zbl 0771.13013
Adams, W. W.; Boyle, A.; Loustaunau, P.
1993
Characterizing pseudoprimes for third-order linear recurrences. Zbl 0614.10005
1987
A lower bound in asymptotic Diophantine approximations. Zbl 0155.09502
1968
Some computations in diophantine approximations. Zbl 0142.29503
1965
On a relationship between the convergents of the nearest integer and regular continued fractions. Zbl 0426.10054
1979
Simultaneous asymptotic diophantine approximations to a basis of a real number field. Zbl 0194.35201
1971
Some results on Gröbner bases over commutative rings. Zbl 0767.13008
Adams, William W.; Boyle, Ann K.
1992
Splitting of quartic polynomials. Zbl 0551.12017
1984
Non-Archimedian analytic functions taking the same values at the same points. Zbl 0225.30056
Adams, W. W.; Straus, E. G.
1971
Asymptotic diophantine approximations and equivalent numbers. Zbl 0157.09902
1968
Analysis of the module determining the properties of regular functions of several quaternionic variables. Zbl 1071.13503
2000
Regular functions of several quaternionic variables and the Cauchy-Fueter complex. Zbl 0966.35088
Adams, W. W.; Berenstein, C. A.; Loustaunau, P.; Sabadini, I.; Struppa, D. C.
1999
SAGBI and SAGBI-Gröbner bases over principal ideal domains. Zbl 0930.13021
Adams, William W.; Hoşten, Serkan; Loustaunau, Philippe; Miller, J. Lyn
1999
Hartog’s phenomenon for polyregular functions and projective dimension of related modules over a polynomial ring. Zbl 0974.32005
Adams, William W.; Loustaunau, Philippe; Palamodov, Victor P.; Struppa, Daniele C.
1997
Gröbner bases and primary decomposition in polynomial rings in one variable over Dedekind domains. Zbl 0908.13021
1997
On compact singularities for regular functions of one quaternionic variable. Zbl 0865.30065
Adams, W. W.; Berenstein, C. A.; Loustaunau, P.; Sabadini, I.; Struppa, D. C.
1996
An introduction to Gröbner bases. Zbl 0803.13015
1994
Lifting standard bases in filtered structures. Zbl 0811.13020
1994
Transitivity for weak and strong Gröbner bases. Zbl 0771.13013
Adams, W. W.; Boyle, A.; Loustaunau, P.
1993
Some results on Gröbner bases over commutative rings. Zbl 0767.13008
Adams, William W.; Boyle, Ann K.
1992
Characterizing pseudoprimes for third-order linear recurrences. Zbl 0614.10005
1987
The algebraic independence of certain Liouville continued fractions. Zbl 0596.10035
1985
Splitting of quartic polynomials. Zbl 0551.12017
1984
Strong primality tests that are not sufficient. Zbl 0492.10005
1982
The best two-dimensional diophantine approximation constant for cubic irrationals. Zbl 0431.10018
1981
Multiples of points on elliptic curves and continued fractions. Zbl 0403.14002
Adams, William W.; Razar, Michael J.
1980
On a relationship between the convergents of the nearest integer and regular continued fractions. Zbl 0426.10054
1979
On the algebraic independence of certain Liouville numbers. Zbl 0387.10022
1978
A remarkable class of continued fractions. Zbl 0366.10027
Adams, William W.; Davison, J. L.
1977
Introduction to number theory. Zbl 0326.10001
Adams, William W.; Goldstein, Larry Joel
1976
Non-Archimedian analytic functions taking the same values at the same points. Zbl 0215.13202
Adams, W. W.; Straus, E. G.
1971
Simultaneous asymptotic diophantine approximations to a basis of a real number field. Zbl 0194.35201
1971
Non-Archimedian analytic functions taking the same values at the same points. Zbl 0225.30056
Adams, W. W.; Straus, E. G.
1971
Simultaneous diophantine approximations and cubic irrationals. Zbl 0182.37803
1969
Simultaneous asymptotic diophantine approximations to a basis of real cubic number field. Zbl 0172.06501
1969
A lower bound in asymptotic Diophantine approximations. Zbl 0155.09502
1968
Asymptotic diophantine approximations and equivalent numbers. Zbl 0157.09902
1968
Simultaneous asymptotic diophantine approximations. Zbl 0153.07202
1967
Adjoint functors and derived functors with an application to the cohomology of semigroups. Zbl 0153.02901
Adams, W. W.; Rieffel, M. A.
1967
Asymptotic diophantine approximations and Hurwitz numbers. Zbl 0189.05001
1967
Transcendental numbers in the p-adic domain. Zbl 0144.29301
1966
Asymptotic diophantine approximations to $$e$$. Zbl 0131.04704
1966
Some computations in diophantine approximations. Zbl 0142.29503
1965
all top 5

#### Cited by 675 Authors

 223 Commutative algebra (13-XX) 136 Number theory (11-XX) 77 Computer science (68-XX) 68 Algebraic geometry (14-XX) 50 Functions of a complex variable (30-XX) 41 Associative rings and algebras (16-XX) 39 Information and communication theory, circuits (94-XX) 34 Combinatorics (05-XX) 23 Group theory and generalizations (20-XX) 23 Partial differential equations (35-XX) 22 Several complex variables and analytic spaces (32-XX) 19 Field theory and polynomials (12-XX) 17 Nonassociative rings and algebras (17-XX) 16 Numerical analysis (65-XX) 16 Systems theory; control (93-XX) 15 Ordinary differential equations (34-XX) 14 Global analysis, analysis on manifolds (58-XX) 12 Linear and multilinear algebra; matrix theory (15-XX) 10 Dynamical systems and ergodic theory (37-XX) 10 Approximations and expansions (41-XX) 10 Differential geometry (53-XX) 8 Convex and discrete geometry (52-XX) 8 Quantum theory (81-XX) 7 Order, lattices, ordered algebraic structures (06-XX) 7 Harmonic analysis on Euclidean spaces (42-XX) 6 Functional analysis (46-XX) 6 Manifolds and cell complexes (57-XX) 6 Operations research, mathematical programming (90-XX) 5 Mathematical logic and foundations (03-XX) 5 Geometry (51-XX) 5 Biology and other natural sciences (92-XX) 4 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 3 Algebraic topology (55-XX) 3 Probability theory and stochastic processes (60-XX) 2 General algebraic systems (08-XX) 2 Category theory; homological algebra (18-XX) 2 $$K$$-theory (19-XX) 2 Real functions (26-XX) 2 Difference and functional equations (39-XX) 2 Sequences, series, summability (40-XX) 2 Operator theory (47-XX) 2 Statistics (62-XX) 2 Mechanics of particles and systems (70-XX) 2 Relativity and gravitational theory (83-XX) 1 General and overarching topics; collections (00-XX) 1 History and biography (01-XX) 1 Measure and integration (28-XX) 1 Special functions (33-XX) 1 Abstract harmonic analysis (43-XX) 1 Integral transforms, operational calculus (44-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Fluid mechanics (76-XX) 1 Optics, electromagnetic theory (78-XX)