# zbMATH — the first resource for mathematics

## Actor, Alfred Arthur

Compute Distance To:
 Author ID: actor.alfred-arthur Published as: Actor, A.; Actor, A. A.; Actor, Alfred; Actor, Alfred A.; Actor, Alfred Arthur
 Documents Indexed: 29 Publications since 1979 Reviewing Activity: 29 Reviews

#### Co-Authors

 21 single-authored 6 Bender, I. 2 Rothe, Klaus D. 1 Reingruber, Jürgen 1 Scholtz, Frederik G.
all top 5

#### Serials

 9 Journal of Physics A: Mathematical and General 4 Letters in Mathematical Physics 4 Annals of Physics 3 Classical and Quantum Gravity 3 Journal of Mathematical Physics 3 Fortschritte der Physik 1 Physica A 1 Journal of Number Theory
all top 5

#### Fields

 21 Quantum theory (81-XX) 11 Global analysis, analysis on manifolds (58-XX) 7 Number theory (11-XX) 3 Partial differential equations (35-XX) 3 Differential geometry (53-XX) 3 Statistical mechanics, structure of matter (82-XX) 2 Special functions (33-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Numerical analysis (65-XX) 2 Mechanics of particles and systems (70-XX) 1 Functions of a complex variable (30-XX) 1 Approximations and expansions (41-XX) 1 Functional analysis (46-XX) 1 Manifolds and cell complexes (57-XX) 1 Relativity and gravitational theory (83-XX)

#### Citations contained in zbMATH

20 Publications have been cited 58 times in 48 Documents Cited by Year
The zeta function constructed from the zeros of the Bessel function. Zbl 1059.33503
Actor, A.; Bender, I.
1996
Multiple harmonic oscillator zeta functions. Zbl 0631.58036
Actor, Alfred
1987
Elliptic function methods in $$\varphi^4$$ theory and Yang-Mills theory. Zbl 0427.35069
Actor, Alfred
1979
Infinite products, partition functions, and the Meinardus theorem. Zbl 0827.11058
Actor, Alfred Arthur
1994
Local analysis of a quantum field confined within a rectangular cavity. Zbl 0790.46053
Actor, Alfred Arthur
1994
Topological generation of gauge field mass by toroidal spacetime. Zbl 0825.58062
Actor, Alfred
1990
Conventional zeta-function derivation of high-temperature expansions. Zbl 0637.58039
Actor, Alfred
1987
Boundaries immersed in a scalar quantum field. Zbl 1043.81634
Actor, A. A.; Bender, I.
1996
Topological symmetry breaking in $$\phi ^ 4$$ theories on toroidal spacetime. Zbl 0709.57020
Actor, Alfred
1990
One-loop Feynman diagram zeta functions for toroidal spacetime. Zbl 0685.58048
Actor, Alfred
1988
Distortion of a quantum field by point and line boundaries. Zbl 0872.58070
Actor, Alfred Arthur
1995
$$\zeta$$- and $$\eta$$-function resummation of infinite series: General case. Zbl 0748.11041
Actor, Alfred
1991
Self dual solutions of the temperature SU(2) Yang-Mills theory. Zbl 0513.35076
Actor, Alfred
1983
Classical solutions and the energy-momentum tensor. Zbl 0463.35079
Actor, Alfred
1981
Multimeron solution of the CP**(n-1) model. Zbl 0478.58037
Actor, Alfred
1980
Thermal quantum fields in static electromagnetic backgrounds. Zbl 1004.81577
Actor, A. A.; Rothe, K. D.
2000
Thermal scalar quantum field in static background gauge potentials. Zbl 1048.81513
Actor, A. A.; Rothe, K. D.; Scholtz, F. G.
1999
Scalar quantum fields confined by rectangular boundaries. Zbl 1064.81525
Actor, Alfred Arthur
1995
Evaluation of multidimensional linear zeta-functions. Zbl 0703.11038
Actor, Alfred
1990
Zeta-function derivation of Euler-MacLaurin sum rules. Zbl 0614.10014
Actor, Alfred
1987
Thermal quantum fields in static electromagnetic backgrounds. Zbl 1004.81577
Actor, A. A.; Rothe, K. D.
2000
Thermal scalar quantum field in static background gauge potentials. Zbl 1048.81513
Actor, A. A.; Rothe, K. D.; Scholtz, F. G.
1999
The zeta function constructed from the zeros of the Bessel function. Zbl 1059.33503
Actor, A.; Bender, I.
1996
Boundaries immersed in a scalar quantum field. Zbl 1043.81634
Actor, A. A.; Bender, I.
1996
Distortion of a quantum field by point and line boundaries. Zbl 0872.58070
Actor, Alfred Arthur
1995
Scalar quantum fields confined by rectangular boundaries. Zbl 1064.81525
Actor, Alfred Arthur
1995
Infinite products, partition functions, and the Meinardus theorem. Zbl 0827.11058
Actor, Alfred Arthur
1994
Local analysis of a quantum field confined within a rectangular cavity. Zbl 0790.46053
Actor, Alfred Arthur
1994
$$\zeta$$- and $$\eta$$-function resummation of infinite series: General case. Zbl 0748.11041
Actor, Alfred
1991
Topological generation of gauge field mass by toroidal spacetime. Zbl 0825.58062
Actor, Alfred
1990
Topological symmetry breaking in $$\phi ^ 4$$ theories on toroidal spacetime. Zbl 0709.57020
Actor, Alfred
1990
Evaluation of multidimensional linear zeta-functions. Zbl 0703.11038
Actor, Alfred
1990
One-loop Feynman diagram zeta functions for toroidal spacetime. Zbl 0685.58048
Actor, Alfred
1988
Multiple harmonic oscillator zeta functions. Zbl 0631.58036
Actor, Alfred
1987
Conventional zeta-function derivation of high-temperature expansions. Zbl 0637.58039
Actor, Alfred
1987
Zeta-function derivation of Euler-MacLaurin sum rules. Zbl 0614.10014
Actor, Alfred
1987
Self dual solutions of the temperature SU(2) Yang-Mills theory. Zbl 0513.35076
Actor, Alfred
1983
Classical solutions and the energy-momentum tensor. Zbl 0463.35079
Actor, Alfred
1981
Multimeron solution of the CP**(n-1) model. Zbl 0478.58037
Actor, Alfred
1980
Elliptic function methods in $$\varphi^4$$ theory and Yang-Mills theory. Zbl 0427.35069
Actor, Alfred
1979
all top 5

#### Cited by 66 Authors

 6 Actor, Alfred Arthur 5 Kirsten, Klaus 4 Elizalde, Emilio 4 Varlamov, Vladimir V. 3 Spreafico, Mauro 2 Hofmann, Ralf 2 Lin, Rui-Hui 2 Toms, David J. 2 Zhai, Xianghua 1 Akant, Levent 1 Arbuzov, Andrej B. 1 Barbashov, Boris Mikhaĭlovich 1 Bender, I. 1 Benvenuti, Sergio 1 Borowiec, Andrzej Zdzisław 1 Brodie, John H. 1 Burban, Ivan M. 1 Byrnes, Alyssa N. 1 Bytsenko, Andrei A. 1 Cerveró, José M. 1 Coons, Michael 1 Ertuğrul, Emine 1 Faber, Manfried 1 Farias, Franz A. 1 Feng, Bo 1 Feng, Chao-Jun 1 Fermi, Davide 1 Fialkovsky, Ignat V. 1 Fucci, Guglielmo 1 Goenner, Hubert F. M. 1 Gül, Yusuf 1 Hanany, Amihay 1 Havas, Peter 1 He, Yang-Hui Evariste 1 Heller, Urs M. 1 Herbst, Ulrich 1 Höllwieser, Roman 1 Hwang, Hsien-Kuei 1 Jiu, Lin 1 Koshkin, Sergiy 1 Kyriakopoulos, E 1 Li, Xinzhou 1 Lim, Sung-Chae 1 Lucietti, James 1 Malyshev, Vadim Aleksandrovich 1 Markov, V. N. 1 Matsuno, Yoichiro 1 Miltão, M. S. R. 1 Moll, Victor Hugo 1 Nazmitdinov, Rashid G. 1 Noronha, J. M. B. 1 Odintsov, Sergei D. 1 Pedersen, Thomas Garm 1 Pervushin, Victor N. 1 Petrova, E. N. 1 Pichugin, Konstantin N. 1 Pismak, Yuriĭ Mikhailovich 1 Pizzocchero, Livio 1 Rangamani, Mukund 1 Teo, Lee-Peng 1 Turgut, Osman Teoman 1 Vignat, Christophe 1 Yatsun, V. A. 1 Yeh, Yeong-Nan 1 Zakharov, Alexander F. 1 Zerbini, Sergio
all top 5

#### Cited in 23 Serials

 19 Journal of Mathematical Physics 3 International Journal of Modern Physics A 2 Journal of Mathematical Analysis and Applications 2 Letters in Mathematical Physics 2 Physica A 2 Journal of Number Theory 2 Journal of High Energy Physics 1 Modern Physics Letters A 1 General Relativity and Gravitation 1 Nuclear Physics. B 1 Physics Letters. A 1 Journal of Geometry and Physics 1 International Journal of Mathematics and Mathematical Sciences 1 Journal of Computational and Applied Mathematics 1 Journal of Soviet Mathematics 1 Mathematika 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Advances in Applied Mathematics 1 Physical Review Letters 1 International Journal of Number Theory 1 Advances in High Energy Physics 1 Symmetry 1 ISRN High Energy Physics
all top 5

#### Cited in 16 Fields

 32 Quantum theory (81-XX) 17 Number theory (11-XX) 7 Special functions (33-XX) 7 Partial differential equations (35-XX) 6 Statistical mechanics, structure of matter (82-XX) 5 Differential geometry (53-XX) 5 Relativity and gravitational theory (83-XX) 4 Global analysis, analysis on manifolds (58-XX) 2 Combinatorics (05-XX) 2 Algebraic geometry (14-XX) 2 Probability theory and stochastic processes (60-XX) 1 Commutative algebra (13-XX) 1 Associative rings and algebras (16-XX) 1 Functions of a complex variable (30-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Operator theory (47-XX)