## Trotter, Hale F.

Compute Distance To:
 Author ID: trotter.hale-f Published as: Trotter, H. F.; Trotter, Hale F.; Trotter, Hale; Trotter, H. more...less External Links: MGP · Wikidata · GND · IdRef
 Documents Indexed: 31 Publications since 1958, including 3 Books Biographic References: 1 Publication Co-Authors: 7 Co-Authors with 8 Joint Publications 210 Co-Co-Authors
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### Co-Authors

 23 single-authored 3 Lang, Serge 2 Crowell, Richard H. 2 Williamson, Richard Edmund 1 Coffman, Edward Grady jun. 1 Goldfeld, Stephen M. 1 Muntz, Richard R. 1 Quandt, Richard E.
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### Serials

 3 Canadian Mathematical Bulletin 2 Duke Mathematical Journal 2 Proceedings of the American Mathematical Society 1 American Mathematical Monthly 1 Advances in Mathematics 1 Archiv der Mathematik 1 Econometrica 1 Illinois Journal of Mathematics 1 Inventiones Mathematicae 1 Journal of the Association for Computing Machinery 1 Journal für die Reine und Angewandte Mathematik 1 Pacific Journal of Mathematics 1 SIGSAM Bulletin 1 Topology 1 Annals of Mathematics. Second Series 1 Bulletin of the American Mathematical Society 1 Lecture Notes in Mathematics
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### Fields

 8 Number theory (11-XX) 4 Manifolds and cell complexes (57-XX) 3 Linear and multilinear algebra; matrix theory (15-XX) 3 Group theory and generalizations (20-XX) 2 Algebraic geometry (14-XX) 1 General and overarching topics; collections (00-XX) 1 Field theory and polynomials (12-XX) 1 Commutative algebra (13-XX) 1 Real functions (26-XX) 1 Operator theory (47-XX) 1 Differential geometry (53-XX) 1 Probability theory and stochastic processes (60-XX) 1 Computer science (68-XX) 1 Quantum theory (81-XX)

### Citations contained in zbMATH Open

26 Publications have been cited 909 times in 865 Documents Cited by Year
On the product of semi-groups of operators. Zbl 0099.10401
Trotter, H. F.
1959
Approximation of semi-groups of operators. Zbl 0099.10302
Trotter, H. F.
1958
Homology of group systems with applications to knot theory. Zbl 0108.18302
Trotter, H. F.
1962
A property of Brownian motion paths. Zbl 0117.35502
Trotter, H. F.
1958
Frobenius distributions in $$\mathrm{GL}_2$$-extensions. Distribution of Frobenius automorphisms in $$\mathrm{GL}_2$$-extensions of the rational numbers. Zbl 0329.12015
Lang, Serge; Trotter, Hale
1976
Waiting time distributions for processor-sharing systems. Zbl 0197.15304
Coffman, E. G. jun.; Muntz, R. R.; Trotter, H.
1970
Maximization by quadratic hill-climbing. Zbl 0145.40901
Goldfeld, S. M.; Quandt, R. E.; Trotter, H. F.
1966
On S-equivalence of Seifert matrices. Zbl 0269.15009
Trotter, H. F.
1973
Non-invertible knots exist. Zbl 0136.21203
Trotter, H. F.
1963
An elementary proof of the central limit theorem. Zbl 0086.34002
Trotter, H. F.
1959
Eigenvalue distributions of large Hermitian matrices; Wigner’s semi- circle law and a theorem of Kac, Murdock, and Szegö. Zbl 0562.15005
Trotter, Hale F.
1984
Primitive points on elliptic curves. Zbl 0345.12008
Lang, Serge; Trotter, Hale
1977
Continued fractions for some algebraic numbers. Zbl 0237.10022
Lang, Serge; Trotter, Hale
1972
A class of pretzel knots. Zbl 0115.40802
Crowell, R. H.; Trotter, H. F.
1963
Calculus of vector functions. 2nd ed. Zbl 0164.21401
Williamson, Richard E.; Crowell, Richard H.; Trotter, Hale F.
1968
On the norms of units in quadratic fields. Zbl 0177.07402
Trotter, H. F.
1969
Knot modules and Seifert matrices. Zbl 0407.57015
Trotter, H. F.
1978
Periodic automorphisms of groups and knots. Zbl 0109.41604
Trotter, H. F.
1961
Some knots spanned by more than one unknotted surface of minimal genus. Zbl 0307.55002
Trotter, H. F.
1975
Groups in which raising to a power is an automorphism. Zbl 0135.05101
Trotter, H. F.
1965
A machine program for coset enumeration. Zbl 0145.02302
Trotter, H. F.
1964
An overlooked example of nonunique factorization. Zbl 0657.13020
Trotter, Hale F.
1988
Statistics on factoring polynomials mod p and p-adically. Zbl 0506.12021
Trotter, Hale F.
1982
Multivariate mathematics. Linear algebra, calculus, differential equations. 2nd ed. Zbl 0514.00002
Williamson, Richard E.; Trotter, Hale F.
1979
Torsion-free metabelian groups with infinite cyclic quotient groups. Zbl 0286.20046
Trotter, H. F.
1974
Approximation and perturbation of semigroups. Zbl 0302.47031
Trotter, Hale F.
1974
An overlooked example of nonunique factorization. Zbl 0657.13020
Trotter, Hale F.
1988
Eigenvalue distributions of large Hermitian matrices; Wigner’s semi- circle law and a theorem of Kac, Murdock, and Szegö. Zbl 0562.15005
Trotter, Hale F.
1984
Statistics on factoring polynomials mod p and p-adically. Zbl 0506.12021
Trotter, Hale F.
1982
Multivariate mathematics. Linear algebra, calculus, differential equations. 2nd ed. Zbl 0514.00002
Williamson, Richard E.; Trotter, Hale F.
1979
Knot modules and Seifert matrices. Zbl 0407.57015
Trotter, H. F.
1978
Primitive points on elliptic curves. Zbl 0345.12008
Lang, Serge; Trotter, Hale
1977
Frobenius distributions in $$\mathrm{GL}_2$$-extensions. Distribution of Frobenius automorphisms in $$\mathrm{GL}_2$$-extensions of the rational numbers. Zbl 0329.12015
Lang, Serge; Trotter, Hale
1976
Some knots spanned by more than one unknotted surface of minimal genus. Zbl 0307.55002
Trotter, H. F.
1975
Torsion-free metabelian groups with infinite cyclic quotient groups. Zbl 0286.20046
Trotter, H. F.
1974
Approximation and perturbation of semigroups. Zbl 0302.47031
Trotter, Hale F.
1974
On S-equivalence of Seifert matrices. Zbl 0269.15009
Trotter, H. F.
1973
Continued fractions for some algebraic numbers. Zbl 0237.10022
Lang, Serge; Trotter, Hale
1972
Waiting time distributions for processor-sharing systems. Zbl 0197.15304
Coffman, E. G. jun.; Muntz, R. R.; Trotter, H.
1970
On the norms of units in quadratic fields. Zbl 0177.07402
Trotter, H. F.
1969
Calculus of vector functions. 2nd ed. Zbl 0164.21401
Williamson, Richard E.; Crowell, Richard H.; Trotter, Hale F.
1968
Maximization by quadratic hill-climbing. Zbl 0145.40901
Goldfeld, S. M.; Quandt, R. E.; Trotter, H. F.
1966
Groups in which raising to a power is an automorphism. Zbl 0135.05101
Trotter, H. F.
1965
A machine program for coset enumeration. Zbl 0145.02302
Trotter, H. F.
1964
Non-invertible knots exist. Zbl 0136.21203
Trotter, H. F.
1963
A class of pretzel knots. Zbl 0115.40802
Crowell, R. H.; Trotter, H. F.
1963
Homology of group systems with applications to knot theory. Zbl 0108.18302
Trotter, H. F.
1962
Periodic automorphisms of groups and knots. Zbl 0109.41604
Trotter, H. F.
1961
On the product of semi-groups of operators. Zbl 0099.10401
Trotter, H. F.
1959
An elementary proof of the central limit theorem. Zbl 0086.34002
Trotter, H. F.
1959
Approximation of semi-groups of operators. Zbl 0099.10302
Trotter, H. F.
1958
A property of Brownian motion paths. Zbl 0117.35502
Trotter, H. F.
1958
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### Cited by 1,081 Authors

 11 Hung, Tran Loc 10 Campiti, Michele 10 Murty, Maruti Ram 9 Altomare, Francesco 8 Kearton, Cherry 8 Knessl, Charles 8 Zagrebnov, Valentin A. 7 Goldstein, Jerome Arthur 7 Livingston, Charles 6 Bayer-Fluckiger, Eva 6 Brandt, Andreas 6 Brandt, Manfred 6 Cojocaru, Alina Carmen 6 Hillman, Jonathan Arthur 6 Kurtz, Thomas Gordon 6 Tacelli, Cristian 5 Brézis, Haïm 5 Butzer, Paul Leo 5 Farber, Michael S. 5 Feller, Peter 5 Friedl, Stefan 5 Ichinose, Takashi 5 Jones, Nathan A. 5 Neidhardt, Hagen 5 Virág, Bálint 5 Zhen, Qiang 4 Bao, Weizhu 4 Berman, Simeon M. 4 Borodin, Andreĭ Nikolaevich 4 Boxma, Onno Johan 4 Csörgő, Miklós 4 Gordon, Cameron McA. 4 Guillemin, Fabrice M. 4 Hahn, Lothar 4 Jefferies, Brian R. F. 4 Kauffman, Louis Hirsch 4 Milella, Sabina 4 Murasugi, Kunio 4 Murty, Vijaya Kumar 4 Rosenkrantz, Walter Abraham 4 Sakasai, Takuya 4 Shi, Zhan 4 Tamura, Hideo 4 Tanaka, Naoki 4 Vuillermot, Pierre-A. 4 Watanabe, Toitsu 4 Wei, Zengxin 4 Wreszinski, Walter F. 4 Yin, Jia 3 Akbary, Amir 3 Baier, Stephan 3 Boileau, Michel Charles 3 Cai, Yongyong 3 Chernoff, Paul R. 3 Conrad, Florian 3 Csáki, Endre 3 Daskin, Ammar 3 Dumitriu, Ioana 3 Forrester, Peter J. 3 Goda, Hiroshi 3 Grothaus, Martin 3 Gupta, Rajiv 3 Ishiwata, Satoshi 3 Katsoulakis, Markos A. 3 Kawabi, Hiroshi 3 Kien, Phan Tri 3 Knight, Frank Bardsley 3 Lang, Serge 3 Licht, Christian 3 Miyadera, Isao 3 Namba, Ryuya 3 Nosaka, Takefumi 3 Núñez-Queija, Rudesindo 3 Oharu, Shinnosuke 3 Parks, James M. 3 Pati, Kishor Chandra 3 Pazy, Amnon 3 Polyak, Boris Teodorovich 3 Puta, Mircea 3 Rasa, Ioan 3 Révész, Pál 3 Rider, Brian C. 3 Rogava, Jemal L. 3 Shparlinski, Igor E. 3 Simon, Barry 3 Smith, Ethan 3 Thalhammer, Mechthild 3 Thomann, Enrique A. 3 Trotter, Hale F. 3 Wang, Yazhen 3 Waymire, Edward C. 3 Whitten, Wilbur Carrington jun. 3 Williams, Gerald 3 Wilson, Stephen M. J. 3 Yashkov, Sergei Fedorovich 3 Yuan, Gonglin 3 Zwart, Bert P. 2 Ahmadvand, Mohammad 2 Albeverio, Sergio A. 2 Alt, Johannes ...and 981 more Authors
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### Cited in 281 Serials

 46 Transactions of the American Mathematical Society 33 Journal of Functional Analysis 27 Proceedings of the American Mathematical Society 21 Queueing Systems 19 Mathematische Annalen 17 Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete 14 Journal of Knot Theory and its Ramifications 13 Journal of Number Theory 11 Journal of Mathematical Physics 11 Stochastic Processes and their Applications 11 Bulletin of the American Mathematical Society 11 Proceedings of the Japan Academy 10 Communications in Mathematical Physics 10 Journal of Computational Physics 10 Mathematical Proceedings of the Cambridge Philosophical Society 10 Integral Equations and Operator Theory 10 Journal of Approximation Theory 10 Algebraic & Geometric Topology 9 Journal of Mathematical Analysis and Applications 9 Inventiones Mathematicae 8 Archiv der Mathematik 8 Journal of Soviet Mathematics 8 Semigroup Forum 8 Statistics & Probability Letters 7 The Annals of Probability 7 Applied Mathematics and Computation 7 International Journal of Number Theory 6 Journal of Optimization Theory and Applications 6 Tôhoku Mathematical Journal. Second Series 6 Topology and its Applications 6 Linear Algebra and its Applications 6 Journal of Mathematical Sciences (New York) 6 Stochastic Models 5 Computers & Mathematics with Applications 5 Computer Physics Communications 5 Communications on Pure and Applied Mathematics 5 Journal of Statistical Physics 5 Mathematics of Computation 5 Advances in Mathematics 5 Journal of Econometrics 5 Journal of Multivariate Analysis 5 Journal of Pure and Applied Algebra 5 Mathematical Programming 5 Acta Applicandae Mathematicae 5 Journal of Theoretical Probability 5 European Journal of Operational Research 5 Bulletin of the American Mathematical Society. New Series 5 Journal of Evolution Equations 4 Archive for Rational Mechanics and Analysis 4 Israel Journal of Mathematics 4 Ukrainian Mathematical Journal 4 Compositio Mathematica 4 Journal of Computational and Applied Mathematics 4 Mathematische Zeitschrift 4 Monatshefte für Mathematik 4 Numerical Functional Analysis and Optimization 4 Publications of the Research Institute for Mathematical Sciences, Kyoto University 4 Operations Research Letters 4 Probability Theory and Related Fields 4 The Annals of Applied Probability 4 Applied Mathematical Modelling 4 Experimental Mathematics 3 Physica A 3 Chaos, Solitons and Fractals 3 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 3 BIT 3 Duke Mathematical Journal 3 Functional Analysis and its Applications 3 Journal of Algebra 3 Journal of Differential Equations 3 Nagoya Mathematical Journal 3 Rendiconti del Circolo Matemàtico di Palermo. Serie II 3 SIAM Journal on Numerical Analysis 3 Applied Numerical Mathematics 3 International Journal of Mathematics 3 Potential Analysis 3 SIAM Journal on Scientific Computing 3 Bulletin des Sciences Mathématiques 3 Electronic Journal of Probability 3 The Ramanujan Journal 3 Mathematical Methods of Operations Research 3 Journal of Inequalities and Applications 3 Acta Mathematica Scientia. Series B. (English Edition) 3 Quantum Information Processing 3 Random Matrices: Theory and Applications 3 Nonlinear Analysis. Theory, Methods & Applications 2 Applicable Analysis 2 Bulletin of the Australian Mathematical Society 2 Journal of Mathematical Biology 2 Lithuanian Mathematical Journal 2 Mathematical Biosciences 2 Physics Reports 2 Reviews in Mathematical Physics 2 The Mathematical Intelligencer 2 Applied Mathematics and Optimization 2 Bulletin of the London Mathematical Society 2 Computing 2 Czechoslovak Mathematical Journal 2 Geometriae Dedicata 2 Indiana University Mathematics Journal ...and 181 more Serials
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### Cited in 60 Fields

 226 Probability theory and stochastic processes (60-XX) 143 Manifolds and cell complexes (57-XX) 135 Operator theory (47-XX) 114 Number theory (11-XX) 95 Numerical analysis (65-XX) 82 Partial differential equations (35-XX) 75 Operations research, mathematical programming (90-XX) 56 Quantum theory (81-XX) 44 Approximations and expansions (41-XX) 39 Computer science (68-XX) 38 Linear and multilinear algebra; matrix theory (15-XX) 38 Statistical mechanics, structure of matter (82-XX) 32 Ordinary differential equations (34-XX) 28 Algebraic geometry (14-XX) 27 Group theory and generalizations (20-XX) 27 Functional analysis (46-XX) 25 Statistics (62-XX) 17 Calculus of variations and optimal control; optimization (49-XX) 17 Systems theory; control (93-XX) 15 Biology and other natural sciences (92-XX) 14 Dynamical systems and ergodic theory (37-XX) 12 Measure and integration (28-XX) 12 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 11 Fluid mechanics (76-XX) 9 Combinatorics (05-XX) 9 Topological groups, Lie groups (22-XX) 9 Global analysis, analysis on manifolds (58-XX) 9 Mechanics of deformable solids (74-XX) 8 Algebraic topology (55-XX) 8 Mechanics of particles and systems (70-XX) 7 Several complex variables and analytic spaces (32-XX) 7 Harmonic analysis on Euclidean spaces (42-XX) 7 Information and communication theory, circuits (94-XX) 6 Special functions (33-XX) 6 Optics, electromagnetic theory (78-XX) 5 Integral equations (45-XX) 5 Differential geometry (53-XX) 4 Field theory and polynomials (12-XX) 4 Nonassociative rings and algebras (17-XX) 4 Category theory; homological algebra (18-XX) 3 History and biography (01-XX) 3 Real functions (26-XX) 3 Functions of a complex variable (30-XX) 2 Commutative algebra (13-XX) 2 Associative rings and algebras (16-XX) 2 $$K$$-theory (19-XX) 2 Abstract harmonic analysis (43-XX) 2 Integral transforms, operational calculus (44-XX) 2 Convex and discrete geometry (52-XX) 2 Classical thermodynamics, heat transfer (80-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 General algebraic systems (08-XX) 1 Potential theory (31-XX) 1 Difference and functional equations (39-XX) 1 Geometry (51-XX) 1 General topology (54-XX) 1 Relativity and gravitational theory (83-XX) 1 Astronomy and astrophysics (85-XX) 1 Geophysics (86-XX) 1 Mathematics education (97-XX)

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