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Lehner, Joseph (b. 1912 d. 2013)

Author ID: lehner.joseph Recent zbMATH articles by "Lehner, Joseph"
Published as: Lehner, Joseph; Lehner, J.
External Links: MGP · Wikidata · GND · IdRef
Documents Indexed: 70 Publications since 1941, including 4 Books
1 Further Contribution
Co-Authors: 11 Co-Authors with 24 Joint Publications
673 Co-Co-Authors

Publications by Year

Citations contained in zbMATH Open

56 Publications have been cited 1,134 times in 957 Documents Cited by Year
Hecke operators on \(\Gamma_0(m)\). Zbl 0177.34901
Atkin, A. O. L.; Lehner, J.
332
1970
Discontinuous groups and automorphic functions. Zbl 0178.42902
Lehner, Joseph
194
1964
The distribution of the number of summands in the partitions of a positive integer. Zbl 0025.10703
Erdős, Paul; Lehner, Joseph
89
1941
On the spectrum of an unsymmetric operator arising in the transport theory of neutrons. Zbl 0064.23004
Lehner, Joseph; Wing, G. Milton
80
1955
Solution of the linearized Boltzmann transport equation for the slab geometry. Zbl 0070.34702
Lehner, Joseph; Wing, G. Milton
54
1956
The distribution of the number of summands in the partition of a positive integer. JFM 67.0126.02
Erdös, P.; Lehner, J.
37
1941
A short course in automorphic functions. Zbl 0138.31404
Lehner, J.
35
1966
Weierstraß points of \(\Gamma_ 0(n)\). Zbl 0124.29203
Lehner, J.; Newman, M.
34
1964
Further congruence properties of the Fourier coefficients of the modular invariant \(j(\tau)\). Zbl 0032.15902
Lehner, Joseph
25
1949
A partition function connected with the modulus five. Zbl 0060.10102
Lehner, Joseph
23
1941
Divisibility properties of the Fourier coefficients of the modular invariant \(j(\tau)\). Zbl 0031.39502
Lehner, Joseph
23
1949
Simple closed geodesics on \(H^+/\Gamma(3)\) arise from the Markov spectrum. Zbl 0556.10015
Lehner, J.; Sheingorn, M.
16
1984
Ramanujan identities involving the partition function for the moduli \(11^\alpha\). Zbl 0060.10007
Lehner, Joseph
14
1943
Real two-dimensional representations of the free product of two finite cyclic groups. Zbl 0139.02002
Lehner, J.; Newman, M.
10
1966
Discrete groups and automorphic functions. Proceedings of an instructional conference organized by the London Mathematical Society and the University of Cambridge (a NATO Advanced Study Institute). Zbl 0411.30033
10
1977
On the non-vanishing of Poincaré series. Zbl 0454.10014
Lehner, J.
9
1980
Eichler cohomology for generalized modular forms. Zbl 1236.11052
Knopp, Marvin; Lehner, Joseph; Raji, Wissam
8
2009
An unsymmetric operator arising in the theory of neutron diffusion. Zbl 0070.45302
Lehner, Joseph
8
1956
On complementary automorphic forms and supplementary Fourier series. Zbl 0101.29902
Knopp, Marvin Isadore; Lehner, Joseph
8
1962
Lectures on modular forms. Zbl 0189.36801
Lehner, J.
8
1969
Diophantine approximation on Hecke groups. Zbl 0576.10023
Lehner, J.
8
1985
Closed geodesics on a Riemann surface with application to the Markov spectrum. Zbl 0597.10024
Beardon, A. F.; Lehner, J.; Sheingorn, M.
8
1986
Real two-dimensional representations of the modular group and related groups. Zbl 0138.31803
Lehner, J.; Newman, M.
7
1965
Automorphic integrals with preassigned periods. Zbl 0185.33501
Lehner, Joseph
7
1969
Semiregular continued fractions whose partial denominators are 1 or 2. Zbl 0814.11008
Lehner, Joseph
7
1994
The Fourier coefficients of automorphic forms on horocyclic groups. II. Zbl 0085.30003
Lehner, Joseph
6
1959
On Riemann surfaces with maximal automorphism groups. Zbl 0186.40602
Lehner, J.; Newman, M.
6
1967
On the boundedness of integrable automorphic forms. Zbl 0305.30023
Lehner, Joseph
6
1974
Gaps in the Fourier series of automorphic forms. Zbl 0473.10022
Knopp, M. I.; Lehner, J.
5
1981
Note on the Schwarz triangle functions. Zbl 0055.07703
Lehner, Joseph
5
1954
A bounded automorphic form of dimension zero is constant. Zbl 0138.31702
Knopp, M. I.; Lehner, J.; Newman, M.
5
1965
The spectrum of the neutron transport operator for the infinite slab. Zbl 0188.29702
Lehner, J.
5
1962
Proof of Ramanujan’s partition congruence for the modulus \(11^3\). Zbl 0037.31303
Lehner, Joseph
5
1950
Uniqueness of a class of Fuchsian groups. Zbl 0305.20024
Lehner, Joseph
5
1975
Two theorems on automorphic functions. Zbl 0101.05801
Lehner, Joseph
4
1962
Magnitude of the Fourier coefficients of automorphic forms of negative dimension. Zbl 0106.28702
Lehner, Joseph
4
1961
The Fourier coefficients of automorphic forms belonging to a class of horocyclic groups. Zbl 0081.07602
Lehner, Joseph
3
1958
On automorphic forms of negative dimension. Zbl 0129.05801
Lehner, J.
3
1964
The Eichler cohomology of a Kleinian group. Zbl 0213.10002
Lehner, Joseph
3
1971
The local Hurwitz constant and diophantine approximation on Hecke groups. Zbl 0761.11020
Lehner, J.
3
1990
On the generation of discontinuous groups. Zbl 0116.06401
Lehner, J.
2
1963
Subgroups of \(F\)-groups. Zbl 0132.01301
Knopp, M. I.; Lehner, J.; Newman, M.
2
1965
Sums involving Farey fractions. Zbl 0176.32304
Lehner, J.; Newman, M.
2
1969
The Picard theorems. Zbl 0186.39401
Lehner, J.
2
1969
Cohomology of vector-valued automorphic forms. Zbl 0266.10024
Lehner, Joseph
2
1973
A diophantine property of the Fuchsian groups. Zbl 0047.08202
Lehner, Joseph
2
1952
A symbolic dynamics for geodesics on punctured Riemann surfaces. Zbl 0556.10016
Lehner, J.; Sheingorn, M.
1
1984
Computing self-intersections of closed geodesics on finite-sheeted covers of the modular surface. Zbl 0556.10017
Lehner, J.; Sheingorn, M.
1
1985
On the multipliers of the Dedekind modular function. Zbl 0207.38102
Lehner, J.
1
1968
On modular forms of negative dimension. Zbl 0084.07502
Lehner, Joseph
1
1959
The Fourier coefficients of automorphic forms on horocyclic groups. III. Zbl 0093.08202
Lehner, Joseph
1
1960
On first order ordinary differential equations arising in diffusion problems. Zbl 0151.11705
Kolodner, I. I.; Lehner, J.; Wing, G. M.
1
1964
Automorphic integrals with preassigned period polynomials and the Eichler cohomology. Zbl 0224.10025
Lehner, Joseph
1
1971
On the \(A_q(\Gamma)\subset B_q(\Gamma)\) conjecture for infinitely generated groups. Zbl 0305.30022
Lehner, Joseph
1
1974
On pqr-groups. Zbl 0411.20026
Lehner, Joseph
1
1978
Lagrange’s theorem for Hecke triangle groups. Zbl 0790.11004
Lehner, J.
1
1993
Eichler cohomology for generalized modular forms. Zbl 1236.11052
Knopp, Marvin; Lehner, Joseph; Raji, Wissam
8
2009
Semiregular continued fractions whose partial denominators are 1 or 2. Zbl 0814.11008
Lehner, Joseph
7
1994
Lagrange’s theorem for Hecke triangle groups. Zbl 0790.11004
Lehner, J.
1
1993
The local Hurwitz constant and diophantine approximation on Hecke groups. Zbl 0761.11020
Lehner, J.
3
1990
Closed geodesics on a Riemann surface with application to the Markov spectrum. Zbl 0597.10024
Beardon, A. F.; Lehner, J.; Sheingorn, M.
8
1986
Diophantine approximation on Hecke groups. Zbl 0576.10023
Lehner, J.
8
1985
Computing self-intersections of closed geodesics on finite-sheeted covers of the modular surface. Zbl 0556.10017
Lehner, J.; Sheingorn, M.
1
1985
Simple closed geodesics on \(H^+/\Gamma(3)\) arise from the Markov spectrum. Zbl 0556.10015
Lehner, J.; Sheingorn, M.
16
1984
A symbolic dynamics for geodesics on punctured Riemann surfaces. Zbl 0556.10016
Lehner, J.; Sheingorn, M.
1
1984
Gaps in the Fourier series of automorphic forms. Zbl 0473.10022
Knopp, M. I.; Lehner, J.
5
1981
On the non-vanishing of Poincaré series. Zbl 0454.10014
Lehner, J.
9
1980
On pqr-groups. Zbl 0411.20026
Lehner, Joseph
1
1978
Discrete groups and automorphic functions. Proceedings of an instructional conference organized by the London Mathematical Society and the University of Cambridge (a NATO Advanced Study Institute). Zbl 0411.30033
10
1977
Uniqueness of a class of Fuchsian groups. Zbl 0305.20024
Lehner, Joseph
5
1975
On the boundedness of integrable automorphic forms. Zbl 0305.30023
Lehner, Joseph
6
1974
On the \(A_q(\Gamma)\subset B_q(\Gamma)\) conjecture for infinitely generated groups. Zbl 0305.30022
Lehner, Joseph
1
1974
Cohomology of vector-valued automorphic forms. Zbl 0266.10024
Lehner, Joseph
2
1973
The Eichler cohomology of a Kleinian group. Zbl 0213.10002
Lehner, Joseph
3
1971
Automorphic integrals with preassigned period polynomials and the Eichler cohomology. Zbl 0224.10025
Lehner, Joseph
1
1971
Hecke operators on \(\Gamma_0(m)\). Zbl 0177.34901
Atkin, A. O. L.; Lehner, J.
332
1970
Lectures on modular forms. Zbl 0189.36801
Lehner, J.
8
1969
Automorphic integrals with preassigned periods. Zbl 0185.33501
Lehner, Joseph
7
1969
Sums involving Farey fractions. Zbl 0176.32304
Lehner, J.; Newman, M.
2
1969
The Picard theorems. Zbl 0186.39401
Lehner, J.
2
1969
On the multipliers of the Dedekind modular function. Zbl 0207.38102
Lehner, J.
1
1968
On Riemann surfaces with maximal automorphism groups. Zbl 0186.40602
Lehner, J.; Newman, M.
6
1967
A short course in automorphic functions. Zbl 0138.31404
Lehner, J.
35
1966
Real two-dimensional representations of the free product of two finite cyclic groups. Zbl 0139.02002
Lehner, J.; Newman, M.
10
1966
Real two-dimensional representations of the modular group and related groups. Zbl 0138.31803
Lehner, J.; Newman, M.
7
1965
A bounded automorphic form of dimension zero is constant. Zbl 0138.31702
Knopp, M. I.; Lehner, J.; Newman, M.
5
1965
Subgroups of \(F\)-groups. Zbl 0132.01301
Knopp, M. I.; Lehner, J.; Newman, M.
2
1965
Discontinuous groups and automorphic functions. Zbl 0178.42902
Lehner, Joseph
194
1964
Weierstraß points of \(\Gamma_ 0(n)\). Zbl 0124.29203
Lehner, J.; Newman, M.
34
1964
On automorphic forms of negative dimension. Zbl 0129.05801
Lehner, J.
3
1964
On first order ordinary differential equations arising in diffusion problems. Zbl 0151.11705
Kolodner, I. I.; Lehner, J.; Wing, G. M.
1
1964
On the generation of discontinuous groups. Zbl 0116.06401
Lehner, J.
2
1963
On complementary automorphic forms and supplementary Fourier series. Zbl 0101.29902
Knopp, Marvin Isadore; Lehner, Joseph
8
1962
The spectrum of the neutron transport operator for the infinite slab. Zbl 0188.29702
Lehner, J.
5
1962
Two theorems on automorphic functions. Zbl 0101.05801
Lehner, Joseph
4
1962
Magnitude of the Fourier coefficients of automorphic forms of negative dimension. Zbl 0106.28702
Lehner, Joseph
4
1961
The Fourier coefficients of automorphic forms on horocyclic groups. III. Zbl 0093.08202
Lehner, Joseph
1
1960
The Fourier coefficients of automorphic forms on horocyclic groups. II. Zbl 0085.30003
Lehner, Joseph
6
1959
On modular forms of negative dimension. Zbl 0084.07502
Lehner, Joseph
1
1959
The Fourier coefficients of automorphic forms belonging to a class of horocyclic groups. Zbl 0081.07602
Lehner, Joseph
3
1958
Solution of the linearized Boltzmann transport equation for the slab geometry. Zbl 0070.34702
Lehner, Joseph; Wing, G. Milton
54
1956
An unsymmetric operator arising in the theory of neutron diffusion. Zbl 0070.45302
Lehner, Joseph
8
1956
On the spectrum of an unsymmetric operator arising in the transport theory of neutrons. Zbl 0064.23004
Lehner, Joseph; Wing, G. Milton
80
1955
Note on the Schwarz triangle functions. Zbl 0055.07703
Lehner, Joseph
5
1954
A diophantine property of the Fuchsian groups. Zbl 0047.08202
Lehner, Joseph
2
1952
Proof of Ramanujan’s partition congruence for the modulus \(11^3\). Zbl 0037.31303
Lehner, Joseph
5
1950
Further congruence properties of the Fourier coefficients of the modular invariant \(j(\tau)\). Zbl 0032.15902
Lehner, Joseph
25
1949
Divisibility properties of the Fourier coefficients of the modular invariant \(j(\tau)\). Zbl 0031.39502
Lehner, Joseph
23
1949
Ramanujan identities involving the partition function for the moduli \(11^\alpha\). Zbl 0060.10007
Lehner, Joseph
14
1943
The distribution of the number of summands in the partitions of a positive integer. Zbl 0025.10703
Erdős, Paul; Lehner, Joseph
89
1941
The distribution of the number of summands in the partition of a positive integer. JFM 67.0126.02
Erdös, P.; Lehner, J.
37
1941
A partition function connected with the modulus five. Zbl 0060.10102
Lehner, Joseph
23
1941
all top 5

Cited by 967 Authors

16 Maslov, Viktor Pavlovich
12 Knopp, Marvin Isadore
12 Rosenberger, Gerhard
11 Choi, Dohoon
10 Kim, Chang Heon
10 Lim, Subong
10 Ono, Ken
9 Bringmann, Kathrin
9 Lehner, Joseph
9 Ramakrishnan, Balakrishnan
8 Latrach, Khalid
8 Nazaikinskii, Vladimir E.
8 Raji, Wissam
8 Schmidt, Thomas A.
7 Choi, Soyoung
7 Hasegawa, Yuji
7 Knopfmacher, Arnold
7 Sheingorn, Mark E.
7 Wagner, Stephan G.
6 Lang, Mong Lung
6 Mokhtar-Kharroubi, Mustapha
6 Mutafchiev, Lyuben R.
6 Young, Matthew P.
5 Beardon, Alan Frank
5 de Azevedo Pribitkin, Wladimir
5 Jeon, Daeyeol
5 Jeribi, Aref
5 Jorgenson, Jay Alan
5 Mühlenbruch, Tobias
5 Nelson, Paul D.
5 Newman, Morris
5 Pao, Chia-Ven
5 Pizer, Arnold K.
5 Purzitsky, Norman
5 Rhoades, Robert C.
5 Sahu, Brundaban
5 Smajlović, Lejla
5 Song, Degong
5 Szalay, Mihaly
4 Ahlgren, Scott D.
4 Andersen, Nickolas
4 Belleni-Morante, Aldo
4 Bruggeman, Roelof Wichert
4 Chan, Heng Huat
4 Choie, YoungJu
4 Dartyge, Cécile
4 Govindarajan, Suresh
4 Kern-Isberner, Gabriele
4 Kohnen, Winfried
4 Koruoglu, Ozden
4 Mason, Geoffrey
4 Minenkov, Dmitrii S.
4 Momose, Fumiyuki
4 Pittel, Boris G.
4 Purkait, Soma
4 Rolen, Larry
4 Sahin, Recep
4 Sahni, D. C.
4 Singh, Anup Kumar
4 Smoot, Nicolas Allen
4 Stothers, W. Wilson
4 Yakubovich, Yuri V.
4 Yang, Mingzhu
4 Yang, Yifan
4 Zhang, Xianwen
3 Bars Cortina, Francesc
3 Baruch, Ehud Moshe
3 Bridges, Walter
3 Busoni, Giorgio
3 Chen, Shichao
3 Chernyshev, Vsevolod L.
3 Delaunay, Christophe
3 Erdős, Pál
3 Frosali, Giovanni
3 Goldfeld, Dorian Morris
3 Griffin, Michael J.
3 Hagis, Peter jun.
3 Hwang, Hsien-Kuei
3 Kim, Henry H.
3 Kra, Irwin
3 Kraaikamp, Cor
3 Kumar, Balesh
3 Lee, Kyu-Hwan
3 Mahlburg, Karl
3 Manickam, Murugesan
3 Mercuri, Pietro
3 Mertens, Michael Helmut
3 Montagnini, Bruno
3 Ogg, Andrew P.
3 Pasten, Hector V.
3 Petrow, Ian N.
3 Protopopescu, Vladimir A.
3 Radu, Cristian-Silviu
3 Robertson, M. M.
3 Sárközy, András
3 Shemanske, Thomas R.
3 Shimura, Mahoro
3 Sills, Andrew V.
3 Smart, John Roderick
3 Then, Holger
...and 867 more Authors
all top 5

Cited in 200 Serials

79 Journal of Number Theory
43 Transactions of the American Mathematical Society
40 The Ramanujan Journal
33 International Journal of Number Theory
30 Mathematische Zeitschrift
30 Proceedings of the American Mathematical Society
29 Transport Theory and Statistical Physics
27 Mathematische Annalen
23 Advances in Mathematics
22 Journal of Mathematical Analysis and Applications
15 Journal de Théorie des Nombres de Bordeaux
15 Research in Number Theory
14 Archiv der Mathematik
14 Duke Mathematical Journal
14 Glasgow Mathematical Journal
14 Proceedings of the Japan Academy. Series A
14 Experimental Mathematics
13 Mathematical Notes
13 Journal of Soviet Mathematics
12 Compositio Mathematica
11 Journal of Mathematical Physics
11 Journal of Algebra
10 Journal of Combinatorial Theory. Series A
9 Nuclear Physics. B
9 Acta Mathematica
9 Tôhoku Mathematical Journal. Second Series
8 Bulletin of the Australian Mathematical Society
8 Mathematics of Computation
8 Inventiones Mathematicae
8 Nagoya Mathematical Journal
7 Annales de l’Institut Fourier
7 Functional Analysis and its Applications
7 Meccanica
6 Israel Journal of Mathematics
6 Journal für die Reine und Angewandte Mathematik
6 Manuscripta Mathematica
5 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg
5 Acta Arithmetica
5 Monatshefte für Mathematik
5 Advances in Applied Mathematics
5 Journal of the American Mathematical Society
5 The Journal of Geometric Analysis
5 Bulletin of the American Mathematical Society. New Series
5 Russian Journal of Mathematical Physics
5 Journal of Mathematical Sciences (New York)
5 Journal of the European Mathematical Society (JEMS)
5 Integers
5 Algebra & Number Theory
5 Research in the Mathematical Sciences
4 Journal d’Analyse Mathématique
4 Letters in Mathematical Physics
4 Rocky Mountain Journal of Mathematics
4 Journal of Geometry and Physics
4 Bulletin de la Société Mathématique de France
4 Functiones et Approximatio. Commentarii Mathematici
4 Memoirs of the American Mathematical Society
4 Results in Mathematics
4 Siberian Mathematical Journal
4 European Journal of Combinatorics
4 Acta Mathematica Hungarica
4 Acta Applicandae Mathematicae
4 Forum Mathematicum
4 Combinatorics, Probability and Computing
4 Bulletin of the American Mathematical Society
3 Acta Mathematica Academiae Scientiarum Hungaricae
3 Communications in Mathematical Physics
3 Lithuanian Mathematical Journal
3 Theoretical and Mathematical Physics
3 Journal of Pure and Applied Algebra
3 Ergodic Theory and Dynamical Systems
3 Journal of Symbolic Computation
3 Proceedings of the Indian Academy of Sciences. Mathematical Sciences
3 Conformal Geometry and Dynamics
3 Annals of Combinatorics
3 Annals of Mathematics. Second Series
2 Archive for Rational Mechanics and Analysis
2 Communications in Algebra
2 Discrete Mathematics
2 International Journal of Theoretical Physics
2 Journal of Statistical Physics
2 Mathematical Proceedings of the Cambridge Philosophical Society
2 Reports on Mathematical Physics
2 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
2 Bulletin of the London Mathematical Society
2 Canadian Mathematical Bulletin
2 Collectanea Mathematica
2 Colloquium Mathematicum
2 Geometriae Dedicata
2 Illinois Journal of Mathematics
2 Journal of Differential Equations
2 Journal of Functional Analysis
2 Journal of the Mathematical Society of Japan
2 Kodai Mathematical Journal
2 Mathematische Nachrichten
2 Mathematika
2 Theoretical Computer Science
2 The Annals of Applied Probability
2 Aequationes Mathematicae
2 Indagationes Mathematicae. New Series
2 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
...and 100 more Serials
all top 5

Cited in 56 Fields

620 Number theory (11-XX)
120 Functions of a complex variable (30-XX)
118 Group theory and generalizations (20-XX)
98 Algebraic geometry (14-XX)
95 Combinatorics (05-XX)
84 Statistical mechanics, structure of matter (82-XX)
41 Probability theory and stochastic processes (60-XX)
39 Integral equations (45-XX)
39 Operator theory (47-XX)
34 Several complex variables and analytic spaces (32-XX)
27 Partial differential equations (35-XX)
25 Dynamical systems and ergodic theory (37-XX)
24 Quantum theory (81-XX)
21 Topological groups, Lie groups (22-XX)
21 Manifolds and cell complexes (57-XX)
17 Differential geometry (53-XX)
14 Global analysis, analysis on manifolds (58-XX)
11 Nonassociative rings and algebras (17-XX)
11 Ordinary differential equations (34-XX)
10 Numerical analysis (65-XX)
7 Fluid mechanics (76-XX)
6 Field theory and polynomials (12-XX)
6 Linear and multilinear algebra; matrix theory (15-XX)
6 Special functions (33-XX)
6 Sequences, series, summability (40-XX)
6 Convex and discrete geometry (52-XX)
6 Computer science (68-XX)
5 Relativity and gravitational theory (83-XX)
4 Approximations and expansions (41-XX)
4 Information and communication theory, circuits (94-XX)
3 Commutative algebra (13-XX)
3 Measure and integration (28-XX)
3 Harmonic analysis on Euclidean spaces (42-XX)
3 Geometry (51-XX)
3 Algebraic topology (55-XX)
3 Statistics (62-XX)
3 Classical thermodynamics, heat transfer (80-XX)
3 Astronomy and astrophysics (85-XX)
2 History and biography (01-XX)
2 Mathematical logic and foundations (03-XX)
2 Order, lattices, ordered algebraic structures (06-XX)
2 Associative rings and algebras (16-XX)
2 \(K\)-theory (19-XX)
2 Real functions (26-XX)
2 Difference and functional equations (39-XX)
2 Functional analysis (46-XX)
2 General topology (54-XX)
1 General and overarching topics; collections (00-XX)
1 General algebraic systems (08-XX)
1 Potential theory (31-XX)
1 Abstract harmonic analysis (43-XX)
1 Calculus of variations and optimal control; optimization (49-XX)
1 Mechanics of particles and systems (70-XX)
1 Mechanics of deformable solids (74-XX)
1 Biology and other natural sciences (92-XX)
1 Systems theory; control (93-XX)

Citations by Year

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