×

Dwork, Bernard Morris

Compute Distance To:
Author ID: dwork.bernard-m Recent zbMATH articles by "Dwork, Bernard Morris"
Published as: Dwork, B.; Dwork, Bernard; Dwork, Bernard M.; Dwork, B. M.; Boyarsky, Maurizio; Dwork, Bernhard
External Links: MGP · Wikidata · Math-Net.Ru · GND · IdRef
Documents Indexed: 69 Publications since 1955, including 3 Books
1 Contribution as Editor · 1 Further Contribution
Biographic References: 4 Publications
Co-Authors: 14 Co-Authors with 24 Joint Publications
259 Co-Co-Authors

Publications by Year

Citations contained in zbMATH Open

54 Publications have been cited 855 times in 561 Documents Cited by Year
On the rationality of the zeta function of an algebraic variety. Zbl 0173.48501
Dwork, Bernard
114
1960
On the zeta function of a hypersurface. I. Zbl 0173.48601
Dwork, Bernard
88
1962
\(p\)-adic cycles. Zbl 0284.14008
Dwork, B.
70
1969
An introduction to \(G\)-functions. Zbl 0830.12004
Dwork, Bernard; Gerotto, Giovanni; Sullivan, Francis J.
63
1994
On second order linear differential equations with algebraic solutions. Zbl 0425.34007
Baldassarri, F.; Dwork, B.
43
1979
On the zeta function of a hypersurface. II. Zbl 0173.48602
Dwork, Bernard
36
1964
Lectures on p-adic differential equations. Zbl 0502.12021
Dwork, Bernard
33
1982
Generalized hypergeometric functions. Zbl 0747.33001
Dwork, Bernard
30
1990
Bessel functions as p-adic functions of the argument. Zbl 0302.14008
Dwork, B.
27
1974
Modules différentiels sur les couronnes (Differential modules over annuli). Zbl 0859.12004
Christol, Gilles; Dwork, Bernard
26
1994
Normalized period matrices. II. Zbl 0265.14008
Dwork, B.
24
1973
On the mod \(p^2\) determination of \(\binom{(p-1)/2}{(p-1)/4}\). Zbl 0596.10003
Chowla, Sarvadaman; Dwork, B.; Evans, Ronald
23
1986
On ordinary linear p-adic differential equations. Zbl 0375.34010
Dwork, B.; Robba, P.
18
1977
On natural radii of p-adic convergence. Zbl 0426.12013
Dwork, B.; Robba, P.
17
1979
On p-adic differential equations. II: The p-adic asymptotic behavior of solutions of ordinary linear differential equations with rational function coefficients. Zbl 0304.14015
Dwork, B.
17
1973
On p-adic differential equations. IV: Generalized hypergeometric functions as p-adic analytic functions in one variable. Zbl 0309.14020
Dwork, B.
16
1973
Hypergeometric series. Zbl 0796.12005
Dwork, B.; Loeser, F.
15
1993
Normalized period matrices. I: Plane curves. Zbl 0241.14011
Dwork, B.
13
1971
The Eisenstein constant. Zbl 0770.11051
Dwork, Bernard M.; van der Poorten, Alfred J.
12
1992
Effective \(p\)-adic bounds at regular singular points. Zbl 0762.12004
Christol, G.; Dwork, B.
11
1991
Effective p-adic bounds for solutions of homogeneous linear differential equations. Zbl 0439.12016
Dwork, B.; Robba, P.
11
1980
p-adic Gamma functions and Dwork cohomology. Zbl 0475.14017
Boyarsky, Maurizio
11
1980
On Hecke polynomials. Zbl 0219.14014
Dwork, B.
11
1971
A deformation theory for the zeta function of a hypersurface. Zbl 0196.53302
Dwork, B.
10
1963
On p-adic differential equations. III: On p-adically bounded solutions of ordinary linear differential equations with rational function coefficients. Zbl 0309.14019
Dwork, B. M.
9
1973
Canonical liftings of Jacobians. Zbl 0603.14029
Dwork, B.; Ogus, A.
8
1986
Norm residue symbol in local number fields. Zbl 0083.26001
Dwork, Bernhard
8
1958
On the zeta function of a hypersurface. III. Zbl 0173.48603
Dwork, Bernard
8
1966
Logarithmic decay and overconvergence of the unit root and associated zeta functions. Zbl 0765.14011
Dwork, B.; Sperber, S.
6
1991
On p-adic differential equations. The Frobenius structure of differential equations. Zbl 0304.14014
Dwork, B. M.
6
1974
On exponents of \(p\)-adic differential modules. Zbl 0870.12008
Dwork, Bernard M.
6
1997
On Kummer’s twenty-four solutions of the hypergeometric differential equation. Zbl 0552.12012
Dwork, B.
6
1984
Differential operators with nilpotent \(p\)-curvature. Zbl 0718.12007
Dwork, Bernard
5
1990
On the Boyarsky principle. Zbl 0517.12012
Dwork, Bernard
5
1983
On the zeta function of a hypersurface. IV: A deformation theory for singular hypersurfaces. Zbl 0213.47402
Dwork, Bernard M.
5
1969
On the congruence properties of the zeta function of algebraic varieties. Zbl 0119.36804
Dwork, Bernard M.
5
1960
Un théorème de prolongement pour des fonctions analytiques. (A theorem on pralongation of analytic functions). Zbl 0446.32005
Bosch, S.; Dwork, B.; Robba, P.
4
1980
The U\(_p\) operator of Atkin on modular functions of level 2 with growth conditions. Zbl 0276.14010
Dwork, B.
4
1973
Differential modules of bounded spectral norm. Zbl 0765.12003
Christol, G.; Dwork, B.
3
1992
Growth of solutions of linear differential equations at a logarithmic singularity. Zbl 0502.12017
Adolphson, A.; Dwork, B.; Sperber, S.
3
1982
The Reich trace formula. Appendice: Une base normale pour l’algèbre de Banach de Reich by Jean Fresnel. Zbl 0561.12013
Boyarsky, Maurizio
3
1984
Hypergeometric series and functions as periods of exponential modules. Zbl 0820.33008
Dwork, Bernard; Loeser, François
3
1994
On the rationality of zeta functions and L-series. Zbl 0205.50901
Dwork, B.
3
1967
On the Tate constant. Zbl 0622.14016
Dwork, B.
2
1987
Cohomological interpretation of hypergeometric series. Zbl 0808.12006
Dwork, B.
2
1993
Corrections to “The Eisenstein constant”. Zbl 0813.11064
Dwork, Bernard M.; van der Poorten, Alfred J.
2
1994
On the uniqueness of Frobenius operator on differential equations. Zbl 0733.12010
Dwork, B.
2
1989
On the Artin root number. Zbl 0074.26601
Dwork, B.
2
1956
p-adic analysis. Proceedings of the international conference held in Trento, Italy, May 29-June 2, 1989. Zbl 0707.00010
1
1990
On the size of differential modules. Zbl 0983.12004
Dwork, Bernard M.
1
1999
On ordinary linear p-adic differential equations with algebraic function coefficients (based on joint work with p. Robba). Zbl 0414.34006
Dwork, Bernard
1
1977
On Apery’s differential operator. Zbl 0493.12031
Dwork, Bernard
1
1981
Nouveau point de vue sur le prolongement algébrique. Zbl 0382.12009
Robba, Philippe; Dwork, B.
1
1978
Contiguity relations for generalized hypergeometric functions. Zbl 0814.33004
Adolphson, Alan; Dwork, Bernard
1
1995
On the size of differential modules. Zbl 0983.12004
Dwork, Bernard M.
1
1999
On exponents of \(p\)-adic differential modules. Zbl 0870.12008
Dwork, Bernard M.
6
1997
Contiguity relations for generalized hypergeometric functions. Zbl 0814.33004
Adolphson, Alan; Dwork, Bernard
1
1995
An introduction to \(G\)-functions. Zbl 0830.12004
Dwork, Bernard; Gerotto, Giovanni; Sullivan, Francis J.
63
1994
Modules différentiels sur les couronnes (Differential modules over annuli). Zbl 0859.12004
Christol, Gilles; Dwork, Bernard
26
1994
Hypergeometric series and functions as periods of exponential modules. Zbl 0820.33008
Dwork, Bernard; Loeser, François
3
1994
Corrections to “The Eisenstein constant”. Zbl 0813.11064
Dwork, Bernard M.; van der Poorten, Alfred J.
2
1994
Hypergeometric series. Zbl 0796.12005
Dwork, B.; Loeser, F.
15
1993
Cohomological interpretation of hypergeometric series. Zbl 0808.12006
Dwork, B.
2
1993
The Eisenstein constant. Zbl 0770.11051
Dwork, Bernard M.; van der Poorten, Alfred J.
12
1992
Differential modules of bounded spectral norm. Zbl 0765.12003
Christol, G.; Dwork, B.
3
1992
Effective \(p\)-adic bounds at regular singular points. Zbl 0762.12004
Christol, G.; Dwork, B.
11
1991
Logarithmic decay and overconvergence of the unit root and associated zeta functions. Zbl 0765.14011
Dwork, B.; Sperber, S.
6
1991
Generalized hypergeometric functions. Zbl 0747.33001
Dwork, Bernard
30
1990
Differential operators with nilpotent \(p\)-curvature. Zbl 0718.12007
Dwork, Bernard
5
1990
p-adic analysis. Proceedings of the international conference held in Trento, Italy, May 29-June 2, 1989. Zbl 0707.00010
1
1990
On the uniqueness of Frobenius operator on differential equations. Zbl 0733.12010
Dwork, B.
2
1989
On the Tate constant. Zbl 0622.14016
Dwork, B.
2
1987
On the mod \(p^2\) determination of \(\binom{(p-1)/2}{(p-1)/4}\). Zbl 0596.10003
Chowla, Sarvadaman; Dwork, B.; Evans, Ronald
23
1986
Canonical liftings of Jacobians. Zbl 0603.14029
Dwork, B.; Ogus, A.
8
1986
On Kummer’s twenty-four solutions of the hypergeometric differential equation. Zbl 0552.12012
Dwork, B.
6
1984
The Reich trace formula. Appendice: Une base normale pour l’algèbre de Banach de Reich by Jean Fresnel. Zbl 0561.12013
Boyarsky, Maurizio
3
1984
On the Boyarsky principle. Zbl 0517.12012
Dwork, Bernard
5
1983
Lectures on p-adic differential equations. Zbl 0502.12021
Dwork, Bernard
33
1982
Growth of solutions of linear differential equations at a logarithmic singularity. Zbl 0502.12017
Adolphson, A.; Dwork, B.; Sperber, S.
3
1982
On Apery’s differential operator. Zbl 0493.12031
Dwork, Bernard
1
1981
Effective p-adic bounds for solutions of homogeneous linear differential equations. Zbl 0439.12016
Dwork, B.; Robba, P.
11
1980
p-adic Gamma functions and Dwork cohomology. Zbl 0475.14017
Boyarsky, Maurizio
11
1980
Un théorème de prolongement pour des fonctions analytiques. (A theorem on pralongation of analytic functions). Zbl 0446.32005
Bosch, S.; Dwork, B.; Robba, P.
4
1980
On second order linear differential equations with algebraic solutions. Zbl 0425.34007
Baldassarri, F.; Dwork, B.
43
1979
On natural radii of p-adic convergence. Zbl 0426.12013
Dwork, B.; Robba, P.
17
1979
Nouveau point de vue sur le prolongement algébrique. Zbl 0382.12009
Robba, Philippe; Dwork, B.
1
1978
On ordinary linear p-adic differential equations. Zbl 0375.34010
Dwork, B.; Robba, P.
18
1977
On ordinary linear p-adic differential equations with algebraic function coefficients (based on joint work with p. Robba). Zbl 0414.34006
Dwork, Bernard
1
1977
Bessel functions as p-adic functions of the argument. Zbl 0302.14008
Dwork, B.
27
1974
On p-adic differential equations. The Frobenius structure of differential equations. Zbl 0304.14014
Dwork, B. M.
6
1974
Normalized period matrices. II. Zbl 0265.14008
Dwork, B.
24
1973
On p-adic differential equations. II: The p-adic asymptotic behavior of solutions of ordinary linear differential equations with rational function coefficients. Zbl 0304.14015
Dwork, B.
17
1973
On p-adic differential equations. IV: Generalized hypergeometric functions as p-adic analytic functions in one variable. Zbl 0309.14020
Dwork, B.
16
1973
On p-adic differential equations. III: On p-adically bounded solutions of ordinary linear differential equations with rational function coefficients. Zbl 0309.14019
Dwork, B. M.
9
1973
The U\(_p\) operator of Atkin on modular functions of level 2 with growth conditions. Zbl 0276.14010
Dwork, B.
4
1973
Normalized period matrices. I: Plane curves. Zbl 0241.14011
Dwork, B.
13
1971
On Hecke polynomials. Zbl 0219.14014
Dwork, B.
11
1971
\(p\)-adic cycles. Zbl 0284.14008
Dwork, B.
70
1969
On the zeta function of a hypersurface. IV: A deformation theory for singular hypersurfaces. Zbl 0213.47402
Dwork, Bernard M.
5
1969
On the rationality of zeta functions and L-series. Zbl 0205.50901
Dwork, B.
3
1967
On the zeta function of a hypersurface. III. Zbl 0173.48603
Dwork, Bernard
8
1966
On the zeta function of a hypersurface. II. Zbl 0173.48602
Dwork, Bernard
36
1964
A deformation theory for the zeta function of a hypersurface. Zbl 0196.53302
Dwork, B.
10
1963
On the zeta function of a hypersurface. I. Zbl 0173.48601
Dwork, Bernard
88
1962
On the rationality of the zeta function of an algebraic variety. Zbl 0173.48501
Dwork, Bernard
114
1960
On the congruence properties of the zeta function of algebraic varieties. Zbl 0119.36804
Dwork, Bernard M.
5
1960
Norm residue symbol in local number fields. Zbl 0083.26001
Dwork, Bernhard
8
1958
On the Artin root number. Zbl 0074.26601
Dwork, B.
2
1956
all top 5

Cited by 500 Authors

34 Sperber, Steven I.
27 Adolphson, Alan
20 Dwork, Bernard Morris
15 Wan, Daqing
9 Baldassarri, Francesco
9 Katz, Nicholas Michael
8 Kedlaya, Kiran Sridhara
8 van der Put, Marius
7 Haessig, C. Douglas
7 Zannier, Umberto M.
6 Berthelot, Pierre
6 Lauder, Alan G. B.
6 Long, Ling
6 Nakagawa, Takahiro
5 Beukers, Frits
5 Christol, Gilles
5 Escassut, Alain
5 Guo, Victor J. W.
5 Hong, Shaofang
5 Pulita, Andrea
4 Bezrodnykh, Sergeĭ I.
4 Buium, Alexandru
4 Chiarellotto, Bruno
4 Delaygue, Éric
4 Doran, Charles F.
4 Esnault, Hélène
4 Malagón, Camilo Sanabria
4 Rivoal, Tanguy
4 Salerno, Adriana
4 Top, Jaap
4 Volovich, Igor’ Vasil’evich
4 Whitcher, Ursula A.
4 Young, Paul Thomas
3 Anderson, Greg W.
3 Arreche, Carlos E.
3 Blache, Régis
3 Chen, Chao
3 Crew, Richard M.
3 Di Vizio, Lucia
3 Etesse, Jean-Yves
3 He, Bing
3 Kelly, Tyler L.
3 Khrennikov, Andreĭ Yur’evich
3 Maier, Robert S.
3 Manjra, Said
3 Mebkhout, Zoghman
3 Robba, Philippe
3 Roques, Julien
3 Schimmrigk, Rolf
3 Sin, Peter K. W.
3 Singer, Michael F.
3 Sun, Zhi-Wei
3 Sun, Zhihong
3 Suwa, Noriyuki
3 Tsuzuki, Nobuo
3 Tu, Fang-Ting
3 Vlasenko, Masha
3 Voight, John Michael
3 Zuo, Kang
2 André, Yves
2 Azzouz, Tinhinane A.
2 Basu, Saugata
2 Bell, Jason P.
2 Bertolin, Cristiana
2 Bézivin, Jean-Paul
2 Bilu, Yuri F.
2 Björner, Anders
2 Bombieri, Enrico
2 Bosch, Siegfried
2 Bostan, Alin
2 Byszewski, Jakub
2 Cao, Wei
2 Chandler, David B.
2 Churchill, Richard C.
2 Coleman, Robert Frederick
2 Compoint, Elie
2 Cornelissen, Gunther
2 Coster, Matthijs J.
2 Dibag, Ibrahim
2 Dilcher, Karl
2 Duan, Lian
2 Evans, Ronald J.
2 Fischler, Stéphane
2 Franc, Cameron
2 Garoufalidis, Stavros
2 Gelbart, Stephen S.
2 Harada, Shinya
2 Hardouin, Charlotte
2 Hazewinkel, Michiel
2 Honkala, Juha
2 Hubrechts, Hendrik
2 Jones, Lenny K.
2 Kauers, Manuel
2 Kochubeĭ, Anatoliĭ Naumovych
2 Kozyrev, Sergeĭ Vladimirovich
2 Krenn, Daniel
2 Lagarias, Jeffrey C.
2 Lin, Xin
2 Liţcanu, Răzvan
2 Liu, Chunlei
...and 400 more Authors
all top 5

Cited in 142 Serials

47 Journal of Number Theory
19 Inventiones Mathematicae
19 Transactions of the American Mathematical Society
17 Compositio Mathematica
17 Journal of Algebra
16 Advances in Mathematics
16 Proceedings of the American Mathematical Society
15 Mathematische Annalen
15 Rendiconti del Seminario Matematico della Università di Padova
15 International Journal of Number Theory
14 Duke Mathematical Journal
14 Finite Fields and their Applications
13 Annales de l’Institut Fourier
10 Journal of Symbolic Computation
10 Journal de Théorie des Nombres de Bordeaux
9 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
9 Mathematische Zeitschrift
9 Bulletin of the American Mathematical Society. New Series
8 Israel Journal of Mathematics
8 Publications Mathématiques
8 Journal of Differential Equations
7 Mathematics of Computation
7 Manuscripta Mathematica
7 Annals of Mathematics. Second Series
6 Journal of the American Mathematical Society
6 Indagationes Mathematicae. New Series
6 Comptes Rendus. Mathématique. Académie des Sciences, Paris
5 Journal of Pure and Applied Algebra
5 Journal of Soviet Mathematics
5 Mémoires de la Société Mathématique de France. Nouvelle Série
5 LMS Journal of Computation and Mathematics
5 Foundations of Computational Mathematics
5 \(p\)-Adic Numbers, Ultrametric Analysis, and Applications
4 Communications in Mathematical Physics
4 Journal für die Reine und Angewandte Mathematik
4 Nagoya Mathematical Journal
4 Integral Transforms and Special Functions
4 The Ramanujan Journal
4 Journal of the Institute of Mathematics of Jussieu
3 Bulletin of the Australian Mathematical Society
3 Nuclear Physics. B
3 Acta Arithmetica
3 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV
3 Archiv der Mathematik
3 Journal of Combinatorial Theory. Series A
3 Monatshefte für Mathematik
3 Journal of High Energy Physics
3 Algebra & Number Theory
2 Communications in Algebra
2 Journal of Mathematical Analysis and Applications
2 Mathematical Notes
2 Mathematical Proceedings of the Cambridge Philosophical Society
2 Rocky Mountain Journal of Mathematics
2 Acta Mathematica
2 Annali di Matematica Pura ed Applicata. Serie Quarta
2 Functiones et Approximatio. Commentarii Mathematici
2 Illinois Journal of Mathematics
2 Memoirs of the American Mathematical Society
2 Proceedings of the Japan Academy. Series A
2 Theoretical Computer Science
2 Tôhoku Mathematical Journal. Second Series
2 Tokyo Journal of Mathematics
2 Advances in Applied Mathematics
2 Forum Mathematicum
2 Experimental Mathematics
2 Journal of Algebraic Combinatorics
2 Annales Mathématiques Blaise Pascal
2 Kyushu Journal of Mathematics
2 Annals of Combinatorics
2 Journal of the Australian Mathematical Society
2 Journal of Systems Science and Complexity
2 Bulletin de la Société Mathématique de France. Supplément. Mémoires
2 Research in the Mathematical Sciences
1 Discrete Applied Mathematics
1 Discrete Mathematics
1 Houston Journal of Mathematics
1 Journal of Mathematical Physics
1 Physica A
1 Russian Mathematical Surveys
1 Theoretical and Mathematical Physics
1 Journal of Geometry and Physics
1 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg
1 Bulletin de la Société Mathématique de France
1 Colloquium Mathematicum
1 Glasgow Mathematical Journal
1 Hiroshima Mathematical Journal
1 Mathematika
1 Osaka Journal of Mathematics
1 Pacific Journal of Mathematics
1 Rendiconti del Seminario Matemàtico e Fisico di Milano
1 Results in Mathematics
1 European Journal of Combinatorics
1 Acta Mathematica Hungarica
1 Journal of Complexity
1 Revista Matemática Iberoamericana
1 Journal of Theoretical Probability
1 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni
1 IMRN. International Mathematics Research Notices
1 Computational Mathematics and Mathematical Physics
1 Aequationes Mathematicae
...and 42 more Serials
all top 5

Cited in 48 Fields

297 Number theory (11-XX)
277 Algebraic geometry (14-XX)
132 Field theory and polynomials (12-XX)
91 Special functions (33-XX)
51 Ordinary differential equations (34-XX)
37 Commutative algebra (13-XX)
32 Several complex variables and analytic spaces (32-XX)
24 Combinatorics (05-XX)
18 Group theory and generalizations (20-XX)
17 Computer science (68-XX)
12 Quantum theory (81-XX)
11 Functions of a complex variable (30-XX)
11 Functional analysis (46-XX)
10 Operator theory (47-XX)
8 Dynamical systems and ergodic theory (37-XX)
7 Partial differential equations (35-XX)
6 Topological groups, Lie groups (22-XX)
6 Real functions (26-XX)
5 Convex and discrete geometry (52-XX)
5 Probability theory and stochastic processes (60-XX)
5 Information and communication theory, circuits (94-XX)
4 History and biography (01-XX)
4 Linear and multilinear algebra; matrix theory (15-XX)
4 Associative rings and algebras (16-XX)
4 Algebraic topology (55-XX)
4 Manifolds and cell complexes (57-XX)
4 Numerical analysis (65-XX)
3 General and overarching topics; collections (00-XX)
3 Category theory; homological algebra (18-XX)
3 \(K\)-theory (19-XX)
3 Difference and functional equations (39-XX)
3 Differential geometry (53-XX)
3 Global analysis, analysis on manifolds (58-XX)
2 Mathematical logic and foundations (03-XX)
2 Nonassociative rings and algebras (17-XX)
2 Abstract harmonic analysis (43-XX)
2 Statistical mechanics, structure of matter (82-XX)
2 Relativity and gravitational theory (83-XX)
1 Potential theory (31-XX)
1 Harmonic analysis on Euclidean spaces (42-XX)
1 Integral transforms, operational calculus (44-XX)
1 Integral equations (45-XX)
1 Statistics (62-XX)
1 Mechanics of particles and systems (70-XX)
1 Mechanics of deformable solids (74-XX)
1 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
1 Biology and other natural sciences (92-XX)
1 Mathematics education (97-XX)

Citations by Year

The data are displayed as stored in Wikidata under a Creative Commons CC0 License. Updates and corrections should be made in Wikidata.