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 Author ID: knopp.marvin-isadore Published as: Knopp, Marvin I.; Knopp, M. I.; Knopp, Marvin; Knopp, Marvin Isadore; Knopp, M.; Knopp, Marvin Isidore External Links: MGP · Wikidata · GND
 Documents Indexed: 76 Publications since 1960, including 8 Books Biographic References: 2 Publications
all top 5

#### Co-Authors

 34 single-authored 9 Mason, Geoffrey 5 Lehner, Joseph 5 Newman, Morris 4 Sheingorn, Mark E. 2 Bateman, Paul Trevier 2 Bleicher, Michael N. 2 Cohn, Harvey 2 Hawkins, John H. 2 Raji, Wissam 2 Smart, John Roderick 1 Berhanu, Shiferaw 1 Berndt, Bruce Carl 1 Bressoud, David M. 1 Choie, YoungJu 1 Datskovsky, Boris A. 1 de Azevedo Pribitkin, Wladimir 1 Diamantis, Nikolaos 1 Farkas, Hershel M. 1 Grinberg, Eric Liviu 1 Gunning, Robert Clifford 1 Husseini, Sufian Y. 1 Kim, Hyunkwang 1 Kohnen, Winfried 1 Mawi, Henok 1 Mendoza, Gerardo A. 1 O’Sullivan, Cormac 1 Pribitkin, Wladimir 1 Quinto, Eric Todd 1 Robins, Sinai 1 Taylor, Bert Alan 1 Yayenie, Omer
all top 5

#### Serials

 7 Illinois Journal of Mathematics 5 Acta Arithmetica 5 The Ramanujan Journal 5 Journal of Research of the National Bureau of Standards 4 Duke Mathematical Journal 4 Proceedings of the American Mathematical Society 4 International Journal of Number Theory 3 American Journal of Mathematics 2 Inventiones Mathematicae 2 Journal of Number Theory 2 Transactions of the American Mathematical Society 2 Contemporary Mathematics 1 Mathematics of Computation 1 Glasgow Mathematical Journal 1 Indiana University Mathematics Journal 1 Mathematische Annalen 1 Mathematische Zeitschrift 1 Michigan Mathematical Journal 1 Pacific Journal of Mathematics 1 Results in Mathematics 1 Bulletin de la Société Matheḿatique de Belgique. Série B 1 Notices of the American Mathematical Society 1 JP Journal of Algebra, Number Theory and Applications 1 Bulletin of the American Mathematical Society 1 Lecture Notes in Mathematics 1 Developments in Mathematics 1 Monographs in Number Theory
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#### Fields

 57 Number theory (11-XX) 11 Functions of a complex variable (30-XX) 4 General and overarching topics; collections (00-XX) 2 History and biography (01-XX) 2 Group theory and generalizations (20-XX) 1 Combinatorics (05-XX) 1 Algebraic geometry (14-XX) 1 $$K$$-theory (19-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Special functions (33-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Abstract harmonic analysis (43-XX) 1 Integral transforms, operational calculus (44-XX) 1 Convex and discrete geometry (52-XX) 1 Quantum theory (81-XX)

#### Citations contained in zbMATH Open

64 Publications have been cited 601 times in 381 Documents Cited by Year
Modular functions in analytic number theory. Zbl 0259.10001
Knopp, Marvin I.
1970
Some new results on the Eichler cohomology of automorphic forms. Zbl 0292.10022
Knopp, Marvin I.
1974
Generalized modular forms. Zbl 1074.11025
Knopp, Marvin; Mason, Geoffrey
2003
On the signs of Fourier coefficients of cusp forms. Zbl 1045.11027
Knopp, Marvin; Kohnen, Winfried; Pribitkin, Wladimir
2003
On vector-valued modular forms and their Fourier coefficients. Zbl 1044.11020
Knopp, Marvin; Mason, Geoffrey
2003
Modular functions in analytic number theory. 2nd ed. Zbl 0997.11500
Knopp, Marvin I.
1993
Vector-valued modular forms and Poincaré series. Zbl 1145.11309
Knopp, Marvin; Mason, Geoffrey
2004
Rational period functions of the modular group. (Appendix by Georges Grinstein). Zbl 0374.10014
Knopp, Marvin I.
1978
Hecke operators and an identity for the Dedekind sums. Zbl 0423.10015
Knopp, Marvin I.
1980
Eichler cohomology theorem for automorphic forms of small weights. Zbl 1233.11058
Knopp, Marvin; Mawi, Henok
2010
Eichler cohomology and automorphic forms. Zbl 0224.10024
Husseini, Sufian Y.; Knopp, Marvin I.
1971
Modular integrals and their Mellin transforms. Zbl 0731.11029
Knopp, Marvin
1990
Hecke’s theory of modular forms and Dirichlet series. Zbl 1202.11030
Berndt, Bruce C.; Knopp, Marvin I.
2008
Logarithmic vector-valued modular forms. Zbl 1253.11053
Knopp, Marvin; Mason, Geoffrey
2011
Rational period functions of the modular group. II. Zbl 0459.10017
Knopp, Marvin I.
1981
Easy proofs of Riemann’s functional equation for $$\zeta(s)$$ and of Lipschitz summation. Zbl 0972.11083
Knopp, Marvin; Robins, Sinai
2001
$$L$$-functions of second-order cusp forms. Zbl 1198.11048
Diamantis, N.; Knopp, M.; Mason, G.; O’Sullivan, C.
2006
Congruence subgroups of positive genus of the modular group. Zbl 0138.31701
Knopp, M. I.; Newman, M.
1965
Construction of automorphic forms on H-groups and supplementary Fourier series. Zbl 0118.07802
Knopp, M. I.
1963
Construction of Jacobi forms. Zbl 0822.11040
Choie, YoungJu; Kim, Hyunkwang; Knopp, Marvin
1995
Eichler cohomology for generalized modular forms. Zbl 1236.11052
Knopp, Marvin; Lehner, Joseph; Raji, Wissam
2009
On the growth of entire automorphic integrals. Zbl 0588.30051
Knopp, Marvin I.
1985
On complementary automorphic forms and supplementary Fourier series. Zbl 0101.29902
1962
Eichler cohomology for generalized modular forms. II. Zbl 1201.11054
Knopp, Marvin; Raji, Wissam
2010
Rademacher on $$J(\tau)$$, Poincaré series of nonpositive weights and the Eichler cohomology. Zbl 0695.10021
Knopp, Marvin I.
1990
A corona theorem for automorphic forms and related results. Zbl 0185.15402
Knopp, M. I.
1969
Parabolic generalized modular forms and their characters. Zbl 1236.11054
Knopp, Marvin; Mason, Geoffrey
2009
Some new old-fashioned modular identities. Zbl 0909.11018
Bateman, Paul T.; Knopp, Marvin I.
1998
On abelian integrals of the second kind and modular functions. Zbl 0121.30603
1962
On Dirichlet series and Hecke triangle groups of infinite volume. Zbl 0848.11021
Knopp, Marvin I.; Sheingorn, Mark
1996
Gaps in the Fourier series of automorphic forms. Zbl 0473.10022
Knopp, M. I.; Lehner, J.
1981
A note on subgroups of the modular group. Zbl 0113.02801
Knopp, M. I.
1963
Construction of a class of modular functions and forms. I, II. Zbl 0119.06903
Knopp, M. I.
1961
A bounded automorphic form of dimension zero is constant. Zbl 0138.31702
Knopp, M. I.; Lehner, J.; Newman, M.
1965
Logarithmic vector-valued modular forms and polynomial-growth estimates of their Fourier coefficients. Zbl 1287.11056
Knopp, Marvin; Mason, Geoffrey
2012
Bounded and integrable automorphic forms. Zbl 0236.30026
1973
A Hecke correspondence theorem for automorphic integrals with rational period functions. Zbl 0742.11028
Hawkins, John H.; Knopp, Marvin I.
1992
A Hecke-Weil correspondence theorem for automorphic integrals on $$\Gamma_ 0(N)$$, with arbitrary rational period functions. Zbl 0801.11026
Hawkins, John H.; Knopp, Marvin I.
1993
Polynomial automorphic forms and nondiscontinuous groups. Zbl 0146.11103
Knopp, M. I.
1966
Notes on automorphic functions: An entire automorphic form of positive dimension is zero. Zbl 0157.13601
Knopp, M. I.
1967
On Kloosterman sums connected with modular forms of half-integral dimension. Zbl 0124.28002
Knopp, Marvin Isadore; Smart, John Roderick
1964
On generalized Abelian integrals of the second kind and modular forms of dimension zero. Zbl 0131.31004
Knopp, M. I.
1964
Subgroups of $$F$$-groups. Zbl 0132.01301
Knopp, M. I.; Lehner, J.; Newman, M.
1965
Note on automorphic forms with real period polynomials. Zbl 0138.31801
Cohn, H.; Knopp, M. I.
1965
Determination of certain roots of unity in the theory of automorphic forms of dimension zero. Zbl 0144.34102
Knopp, Marvin Isidore
1960
Hecke basis theorems for groups of genus O. Zbl 0205.09601
Knopp, M. I.; Smart, J. R.
1970
Vector-valued modular forms with an unnatural boundary. Zbl 1321.11048
Knopp, Marvin; Mason, Geoffrey
2013
On Dirichlet series satisfying Riemann’s functional equation. Zbl 0816.11032
Knopp, Marvin I.
1994
Application of Dedekind eta-multipliers to modular equations. Zbl 0813.11025
Cohn, Harvey; Knopp, Marvin I.
1994
Sums of squares and the preservation of modularity under congruence restrictions. Zbl 1040.11018
Bateman, Paul T.; Datskovsky, Boris A.; Knopp, Marvin I.
2001
The Hecke convergence factor and modular forms of weight zero. Zbl 1034.11029
2000
Hamburger’s theorem on $$\zeta(s)$$ and the abundance principle for Dirichlet series with functional equations. Zbl 0972.11076
Knopp, Marvin I.
2000
Generation of the graded ring of automorphic forms on the Hecke groups. Zbl 0649.10017
Knopp, M. I.
1988
On the Fourier coefficients of cusp forms having small positive weight. Zbl 0679.10019
Knopp, Marvin I.
1989
On powers of the theta-function greater than the eighth. Zbl 0546.10022
Knopp, Marvin I.
1986
Remarks on a problem of Rademacher in the theory of modular forms. Zbl 0274.10030
Knopp, Marvin I.
1973
A tribute to Emil Grosswald: number theory and related analysis. Zbl 0773.00030
Knopp, Marvin (ed.); Sheingorn, Mark (ed.)
1993
On the cuspidal spectrum of the arithmetic Hecke groups. Zbl 0789.11034
Knopp, Marvin I.
1993
On groups related to the Hecke groups. Zbl 0782.11013
Knopp, Marvin I.; Newman, Morris
1993
Lattice points in a sphere. Zbl 0131.04701
Bleicher, M. N.; Knopp, M. I.
1965
Fourier series of automorphic forms of nonnegative dimension. Zbl 0146.11201
Knopp, M. I.
1961
Automorphic forms of nonnegative dimension and exponential sums. Zbl 0154.08701
Knopp, M. I.
1960
Theory of area. Zbl 0174.34504
Knopp, M. I.
1969
From Fourier analysis and number theory to Radon transforms and geometry. In Memory of Leon Ehrenpreis. Zbl 1250.00009
Farkas, Hershel M. (ed.); Gunning, Robert C. (ed.); Knopp, Marvin I. (ed.); Taylor, B. A. (ed.)
2013
Vector-valued modular forms with an unnatural boundary. Zbl 1321.11048
Knopp, Marvin; Mason, Geoffrey
2013
From Fourier analysis and number theory to Radon transforms and geometry. In Memory of Leon Ehrenpreis. Zbl 1250.00009
Farkas, Hershel M.; Gunning, Robert C.; Knopp, Marvin I.; Taylor, B. A.
2013
Logarithmic vector-valued modular forms and polynomial-growth estimates of their Fourier coefficients. Zbl 1287.11056
Knopp, Marvin; Mason, Geoffrey
2012
Logarithmic vector-valued modular forms. Zbl 1253.11053
Knopp, Marvin; Mason, Geoffrey
2011
Eichler cohomology theorem for automorphic forms of small weights. Zbl 1233.11058
Knopp, Marvin; Mawi, Henok
2010
Eichler cohomology for generalized modular forms. II. Zbl 1201.11054
Knopp, Marvin; Raji, Wissam
2010
Eichler cohomology for generalized modular forms. Zbl 1236.11052
Knopp, Marvin; Lehner, Joseph; Raji, Wissam
2009
Parabolic generalized modular forms and their characters. Zbl 1236.11054
Knopp, Marvin; Mason, Geoffrey
2009
Hecke’s theory of modular forms and Dirichlet series. Zbl 1202.11030
Berndt, Bruce C.; Knopp, Marvin I.
2008
$$L$$-functions of second-order cusp forms. Zbl 1198.11048
Diamantis, N.; Knopp, M.; Mason, G.; O&rsquo;Sullivan, C.
2006
Vector-valued modular forms and Poincaré series. Zbl 1145.11309
Knopp, Marvin; Mason, Geoffrey
2004
Generalized modular forms. Zbl 1074.11025
Knopp, Marvin; Mason, Geoffrey
2003
On the signs of Fourier coefficients of cusp forms. Zbl 1045.11027
Knopp, Marvin; Kohnen, Winfried; Pribitkin, Wladimir
2003
On vector-valued modular forms and their Fourier coefficients. Zbl 1044.11020
Knopp, Marvin; Mason, Geoffrey
2003
Easy proofs of Riemann’s functional equation for $$\zeta(s)$$ and of Lipschitz summation. Zbl 0972.11083
Knopp, Marvin; Robins, Sinai
2001
Sums of squares and the preservation of modularity under congruence restrictions. Zbl 1040.11018
Bateman, Paul T.; Datskovsky, Boris A.; Knopp, Marvin I.
2001
The Hecke convergence factor and modular forms of weight zero. Zbl 1034.11029
2000
Hamburger’s theorem on $$\zeta(s)$$ and the abundance principle for Dirichlet series with functional equations. Zbl 0972.11076
Knopp, Marvin I.
2000
Some new old-fashioned modular identities. Zbl 0909.11018
Bateman, Paul T.; Knopp, Marvin I.
1998
On Dirichlet series and Hecke triangle groups of infinite volume. Zbl 0848.11021
Knopp, Marvin I.; Sheingorn, Mark
1996
Construction of Jacobi forms. Zbl 0822.11040
Choie, YoungJu; Kim, Hyunkwang; Knopp, Marvin
1995
On Dirichlet series satisfying Riemann’s functional equation. Zbl 0816.11032
Knopp, Marvin I.
1994
Application of Dedekind eta-multipliers to modular equations. Zbl 0813.11025
Cohn, Harvey; Knopp, Marvin I.
1994
Modular functions in analytic number theory. 2nd ed. Zbl 0997.11500
Knopp, Marvin I.
1993
A Hecke-Weil correspondence theorem for automorphic integrals on $$\Gamma_ 0(N)$$, with arbitrary rational period functions. Zbl 0801.11026
Hawkins, John H.; Knopp, Marvin I.
1993
A tribute to Emil Grosswald: number theory and related analysis. Zbl 0773.00030
Knopp, Marvin; Sheingorn, Mark
1993
On the cuspidal spectrum of the arithmetic Hecke groups. Zbl 0789.11034
Knopp, Marvin I.
1993
On groups related to the Hecke groups. Zbl 0782.11013
Knopp, Marvin I.; Newman, Morris
1993
A Hecke correspondence theorem for automorphic integrals with rational period functions. Zbl 0742.11028
Hawkins, John H.; Knopp, Marvin I.
1992
Modular integrals and their Mellin transforms. Zbl 0731.11029
Knopp, Marvin
1990
Rademacher on $$J(\tau)$$, Poincaré series of nonpositive weights and the Eichler cohomology. Zbl 0695.10021
Knopp, Marvin I.
1990
On the Fourier coefficients of cusp forms having small positive weight. Zbl 0679.10019
Knopp, Marvin I.
1989
Generation of the graded ring of automorphic forms on the Hecke groups. Zbl 0649.10017
Knopp, M. I.
1988
On powers of the theta-function greater than the eighth. Zbl 0546.10022
Knopp, Marvin I.
1986
On the growth of entire automorphic integrals. Zbl 0588.30051
Knopp, Marvin I.
1985
Rational period functions of the modular group. II. Zbl 0459.10017
Knopp, Marvin I.
1981
Gaps in the Fourier series of automorphic forms. Zbl 0473.10022
Knopp, M. I.; Lehner, J.
1981
Hecke operators and an identity for the Dedekind sums. Zbl 0423.10015
Knopp, Marvin I.
1980
Rational period functions of the modular group. (Appendix by Georges Grinstein). Zbl 0374.10014
Knopp, Marvin I.
1978
Some new results on the Eichler cohomology of automorphic forms. Zbl 0292.10022
Knopp, Marvin I.
1974
Bounded and integrable automorphic forms. Zbl 0236.30026
1973
Remarks on a problem of Rademacher in the theory of modular forms. Zbl 0274.10030
Knopp, Marvin I.
1973
Eichler cohomology and automorphic forms. Zbl 0224.10024
Husseini, Sufian Y.; Knopp, Marvin I.
1971
Modular functions in analytic number theory. Zbl 0259.10001
Knopp, Marvin I.
1970
Hecke basis theorems for groups of genus O. Zbl 0205.09601
Knopp, M. I.; Smart, J. R.
1970
A corona theorem for automorphic forms and related results. Zbl 0185.15402
Knopp, M. I.
1969
Theory of area. Zbl 0174.34504
Knopp, M. I.
1969
Notes on automorphic functions: An entire automorphic form of positive dimension is zero. Zbl 0157.13601
Knopp, M. I.
1967
Polynomial automorphic forms and nondiscontinuous groups. Zbl 0146.11103
Knopp, M. I.
1966
Congruence subgroups of positive genus of the modular group. Zbl 0138.31701
Knopp, M. I.; Newman, M.
1965
A bounded automorphic form of dimension zero is constant. Zbl 0138.31702
Knopp, M. I.; Lehner, J.; Newman, M.
1965
Subgroups of $$F$$-groups. Zbl 0132.01301
Knopp, M. I.; Lehner, J.; Newman, M.
1965
Note on automorphic forms with real period polynomials. Zbl 0138.31801
Cohn, H.; Knopp, M. I.
1965
Lattice points in a sphere. Zbl 0131.04701
Bleicher, M. N.; Knopp, M. I.
1965
On Kloosterman sums connected with modular forms of half-integral dimension. Zbl 0124.28002
Knopp, Marvin Isadore; Smart, John Roderick
1964
On generalized Abelian integrals of the second kind and modular forms of dimension zero. Zbl 0131.31004
Knopp, M. I.
1964
Construction of automorphic forms on H-groups and supplementary Fourier series. Zbl 0118.07802
Knopp, M. I.
1963
A note on subgroups of the modular group. Zbl 0113.02801
Knopp, M. I.
1963
On complementary automorphic forms and supplementary Fourier series. Zbl 0101.29902
1962
On abelian integrals of the second kind and modular functions. Zbl 0121.30603
1962
Construction of a class of modular functions and forms. I, II. Zbl 0119.06903
Knopp, M. I.
1961
Fourier series of automorphic forms of nonnegative dimension. Zbl 0146.11201
Knopp, M. I.
1961
Determination of certain roots of unity in the theory of automorphic forms of dimension zero. Zbl 0144.34102
Knopp, Marvin Isidore
1960
Automorphic forms of nonnegative dimension and exponential sums. Zbl 0154.08701
Knopp, M. I.
1960
all top 5

#### Cited by 390 Authors

 20 Choie, YoungJu 18 Lim, Subong 17 Kohnen, Winfried 14 Knopp, Marvin Isadore 14 Raji, Wissam 13 Choi, Dohoon 11 Mason, Geoffrey 8 de Azevedo Pribitkin, Wladimir 7 Kim, Byungchan 5 Diamantis, Nikolaos 5 Dong, Chongying 5 Jennings-Shaffer, Chris 5 Jin, Seokho 5 Newman, Morris 5 Ono, Ken 5 Sahu, Brundaban 4 Bringmann, Kathrin 4 Bruggeman, Roelof Wichert 4 Choi, Soyoung 4 Choi, Youn-Seo 4 Cooper, Shaun 4 Duke, William Drexel 4 Franc, Cameron 4 Jha, Abhash Kumar 4 Kane, Ben 4 Kim, Chang Heon 4 Köhler, Günter 4 Mühlenbruch, Tobias 4 Viswanadham, G. K. 3 Amri, Mohammed Amin 3 Candelori, Luca 3 Chan, Heichi 3 Chan, Heng Huat 3 Deitmar, Anton 3 Gimenez, Jose Olavarriaga 3 Imamoḡlu, Özlem 3 Lau, Yuk-Kam 3 Marks, Christopher 3 Martin, Yves-Loïc 3 Meher, Jaban 3 O’Sullivan, Cormac 3 Parson, L. Alayne 3 Pohl, Anke D. 3 Radu, Cristian-Silviu 3 Ressler, Wendell 3 Rhoades, Robert C. 3 Sebbar, Abdellah 3 Sengupta, Jyoti 3 Smoot, Nicolas Allen 3 Swisher, Holly 3 Tóth, Árpád 3 Wang, Liuquan 2 Bantay, Peter 2 Biagioli, Anthony J. F. 2 Borwein, David 2 Borwein, Jonathan Michael 2 Cappelli, Andrea 2 Chui, Charles Kam-tai 2 Daughton, Austin 2 Dunn, Alexander 2 Earle, Clifford J. 2 Fedosova, Ksenia 2 Ferrari, Francesca 2 Folsom, Amanda 2 Garvan, Frank G. 2 Gun, Sanoli 2 Huber, Tim 2 Ihara, Kentaro 2 Jang, Min-Joo 2 Jiang, Cuipo 2 Kanemitsu, Shigeru 2 Kimport, Sam 2 Kra, Irwin 2 Kumar, Balesh 2 Kumar, Narasimha 2 Kumari, Moni 2 Lehner, Joseph 2 Li, Hailong 2 Liu, Huaning 2 Magyari, Eugen 2 Metzger, Thomas A. 2 Nagasaka, Chiaki 2 Pasles, Paul C. 2 Perelli, Alberto 2 Qu, Yan 2 Rajeswara Rao, K. V. 2 Rosenberger, Gerhard 2 Shankhadhar, Karam Deo 2 Sheingorn, Mark E. 2 Simsek, Yilmaz 2 Toh, Pee Choon 2 Tracy, Craig Arnold 2 Wang, Xueli 2 Williams, Kenneth S. 2 Wu, Jie 2 Yayenie, Omer 2 Zemba, Guillermo Raúl 2 Zemel, Shaul 2 Zhang, Liangcheng 2 Zhang, Wei ...and 290 more Authors
all top 5

#### Cited in 106 Serials

 50 The Ramanujan Journal 37 Journal of Number Theory 30 International Journal of Number Theory 21 Proceedings of the American Mathematical Society 16 Transactions of the American Mathematical Society 14 Journal of Mathematical Analysis and Applications 13 Mathematische Annalen 9 Advances in Mathematics 8 Functiones et Approximatio. Commentarii Mathematici 7 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg 7 Research in Number Theory 6 Communications in Mathematical Physics 6 Glasgow Mathematical Journal 6 Mathematische Zeitschrift 5 Archiv der Mathematik 5 Results in Mathematics 5 Journal of High Energy Physics 5 Research in the Mathematical Sciences 4 Mathematics of Computation 4 Journal für die Reine und Angewandte Mathematik 4 Journal of Soviet Mathematics 4 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 3 Rocky Mountain Journal of Mathematics 3 Acta Arithmetica 3 Illinois Journal of Mathematics 3 Memoirs of the American Mathematical Society 3 Monatshefte für Mathematik 2 International Journal of Heat and Mass Transfer 2 Israel Journal of Mathematics 2 Inventiones Mathematicae 2 Journal of Algebra 2 Mathematika 2 Proceedings of the Japan Academy. Series A 2 European Journal of Combinatorics 2 Journal of Symbolic Computation 2 Journal of the Ramanujan Mathematical Society 2 Science in China. Series A 2 Journal de Théorie des Nombres de Bordeaux 2 Kyushu Journal of Mathematics 2 Selecta Mathematica. New Series 2 Annals of Mathematics. Second Series 2 Journal of Applied Mathematics and Computing 1 Acta Mechanica 1 Bulletin of the Australian Mathematical Society 1 Indian Journal of Pure & Applied Mathematics 1 Journal d’Analyse Mathématique 1 Journal of Mathematical Physics 1 Journal of Statistical Physics 1 Letters in Mathematical Physics 1 Nuclear Physics. B 1 Journal of Geometry and Physics 1 Acta Mathematica 1 Annales de l’Institut Fourier 1 Annals of the Institute of Statistical Mathematics 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Applied Mathematics and Computation 1 Bulletin de la Société Mathématique de France 1 Compositio Mathematica 1 Czechoslovak Mathematical Journal 1 Duke Mathematical Journal 1 Geometriae Dedicata 1 Publications Mathématiques 1 Journal of Differential Equations 1 Journal of the London Mathematical Society. Second Series 1 Manuscripta Mathematica 1 Mathematische Nachrichten 1 Nagoya Mathematical Journal 1 Proceedings of the London Mathematical Society. Third Series 1 Tohoku Mathematical Journal. Second Series 1 Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete 1 Advances in Applied Mathematics 1 Physica D 1 Constructive Approximation 1 Algorithmica 1 Revista Matemática Iberoamericana 1 Forum Mathematicum 1 Annals of Physics 1 Proceedings of the National Academy of Sciences of the United States of America 1 Bulletin of the American Mathematical Society. New Series 1 Mathematical Programming. Series A. Series B 1 Journal of Mathematical Imaging and Vision 1 Journal of Algebraic Combinatorics 1 Journal of Mathematical Sciences (New York) 1 Turkish Journal of Mathematics 1 Integral Transforms and Special Functions 1 Electronic Journal of Probability 1 Electronic Research Announcements of the American Mathematical Society 1 Conformal Geometry and Dynamics 1 Taiwanese Journal of Mathematics 1 Annals of Combinatorics 1 Communications in Contemporary Mathematics 1 Integers 1 Journal of the Australian Mathematical Society 1 Computational Methods and Function Theory 1 Central European Journal of Mathematics 1 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 1 Bulletin of the American Mathematical Society 1 Naval Research Logistics Quarterly 1 Frontiers of Mathematics in China 1 Advances in High Energy Physics ...and 6 more Serials
all top 5

#### Cited in 41 Fields

 321 Number theory (11-XX) 33 Functions of a complex variable (30-XX) 33 Special functions (33-XX) 19 Combinatorics (05-XX) 18 Group theory and generalizations (20-XX) 13 Nonassociative rings and algebras (17-XX) 12 Algebraic geometry (14-XX) 12 Quantum theory (81-XX) 7 Several complex variables and analytic spaces (32-XX) 6 Topological groups, Lie groups (22-XX) 6 Probability theory and stochastic processes (60-XX) 5 Partial differential equations (35-XX) 5 Harmonic analysis on Euclidean spaces (42-XX) 3 Associative rings and algebras (16-XX) 3 Ordinary differential equations (34-XX) 3 Dynamical systems and ergodic theory (37-XX) 3 Approximations and expansions (41-XX) 3 Global analysis, analysis on manifolds (58-XX) 3 Statistics (62-XX) 3 Computer science (68-XX) 3 Fluid mechanics (76-XX) 3 Relativity and gravitational theory (83-XX) 2 $$K$$-theory (19-XX) 2 Real functions (26-XX) 2 Sequences, series, summability (40-XX) 2 Integral transforms, operational calculus (44-XX) 2 Numerical analysis (65-XX) 2 Classical thermodynamics, heat transfer (80-XX) 2 Statistical mechanics, structure of matter (82-XX) 2 Operations research, mathematical programming (90-XX) 2 Information and communication theory, circuits (94-XX) 1 Field theory and polynomials (12-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Measure and integration (28-XX) 1 Potential theory (31-XX) 1 Functional analysis (46-XX) 1 Operator theory (47-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Algebraic topology (55-XX) 1 Manifolds and cell complexes (57-XX) 1 Biology and other natural sciences (92-XX)

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