×

zbMATH — the first resource for mathematics

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, Bernard Morris; Dwork, Bernhard
External Links: MGP · Math-Net.Ru · Wikidata · GND
Documents Indexed: 70 Publications since 1955, including 5 Books
Biographic References: 3 Publications

Publications by Year

Citations contained in zbMATH Open

54 Publications have been cited 770 times in 498 Documents Cited by Year
On the rationality of the zeta function of an algebraic variety. Zbl 0173.48501
Dwork, Bernard
96
1960
On the zeta function of a hypersurface. I. Zbl 0173.48601
Dwork, B.
81
1962
p-adic cycles. Zbl 0284.14008
Dwork, B.
58
1969
An introduction to \(G\)-functions. Zbl 0830.12004
Dwork, Bernard; Gerotto, Giovanni; Sullivan, Francis J.
58
1994
On second order linear differential equations with algebraic solutions. Zbl 0425.34007
Baldassarri, F.; Dwork, B.
38
1979
On the zeta function of a hypersurface. II. Zbl 1367.14006
Dwork, B.
34
1964
Lectures on p-adic differential equations. Zbl 0502.12021
Dwork, Bernard
32
1982
Generalized hypergeometric functions. Zbl 0747.33001
Dwork, Bernard
25
1990
Modules différentiels sur les couronnes (Differential modules over annuli). Zbl 0859.12004
Christol, Gilles; Dwork, Bernard
24
1994
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
Bessel functions as p-adic functions of the argument. Zbl 0302.14008
Dwork, B.
22
1974
Normalized period matrices. II. Zbl 0265.14008
Dwork, B.
20
1973
On ordinary linear p-adic differential equations. Zbl 0375.34010
Dwork, B.; Robba, P.
17
1977
On natural radii of p-adic convergence. Zbl 0426.12013
Dwork, B.; Robba, P.
16
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.
16
1973
Hypergeometric series. Zbl 0796.12005
Dwork, B.; Loeser, F.
15
1993
On p-adic differential equations. IV: Generalized hypergeometric functions as p-adic analytic functions in one variable. Zbl 0309.14020
Dwork, B.
13
1973
Normalized period matrices. I: Plane curves. Zbl 0241.14011
Dwork, B.
12
1971
The Eisenstein constant. Zbl 0770.11051
Dwork, Bernard M.; van der Poorten, Alfred J.
12
1992
p-adic Gamma functions and Dwork cohomology. Zbl 0475.14017
Boyarsky, Maurizio
11
1980
On Hecke polynomials. Zbl 0219.14014
Dwork, B.
11
1971
Effective p-adic bounds for solutions of homogeneous linear differential equations. Zbl 0439.12016
Dwork, B.; Robba, P.
10
1980
A deformation theory for the zeta function of a hypersurface. Zbl 0196.53302
Dwork, B.
10
1963
Effective \(p\)-adic bounds at regular singular points. Zbl 0762.12004
Christol, G.; Dwork, B.
10
1991
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.
8
1973
Norm residue symbol in local number fields. Zbl 0083.26001
Dwork, Bernhard
8
1958
On the zeta function of a hypersurface. III. Zbl 1367.14007
Dwork, B.
8
1966
Canonical liftings of Jacobians. Zbl 0603.14029
Dwork, B.; Ogus, A.
7
1986
On exponents of \(p\)-adic differential modules. Zbl 0870.12008
Dwork, Bernard M.
6
1997
On p-adic differential equations. The Frobenius structure of differential equations. Zbl 0304.14014
Dwork, B. M.
5
1974
On the zeta function of a hypersurface. IV: A deformation theory for singular hypersurfaces. Zbl 0213.47402
Dwork, B. M.
5
1969
On the Boyarsky principle. Zbl 0517.12012
Dwork, Bernard
5
1983
On Kummer’s twenty-four solutions of the hypergeometric differential equation. Zbl 0552.12012
Dwork, B.
5
1984
Logarithmic decay and overconvergence of the unit root and associated zeta functions. Zbl 0765.14011
Dwork, B.; Sperber, S.
5
1991
Differential operators with nilpotent \(p\)-curvature. Zbl 0718.12007
Dwork, Bernard
4
1990
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 the congruence properties of the zeta function of algebraic varieties. Zbl 0119.36804
Dwork, Bernard M.
4
1960
The U\(_p\) operator of Atkin on modular functions of level 2 with growth conditions. Zbl 0276.14010
Dwork, B.
3
1973
On the rationality of zeta functions and L-series. Zbl 0205.50901
Dwork, B.
3
1967
Differential modules of bounded spectral norm. Zbl 0765.12003
Christol, G.; Dwork, B.
3
1992
Hypergeometric series and functions as periods of exponential modules. Zbl 0820.33008
Dwork, Bernard; Loeser, François
3
1994
On the uniqueness of Frobenius operator on differential equations. Zbl 0733.12010
Dwork, B.
2
1989
Growth of solutions of linear differential equations at a logarithmic singularity. Zbl 0502.12017
Adolphson, A.; Dwork, B.; Sperber, S.
2
1982
The Reich trace formula. Appendice: Une base normale pour l’algèbre de Banach de Reich by Jean Fresnel. Zbl 0561.12013
Boyarsky, Maurizio
2
1984
On the Tate constant. Zbl 0622.14016
Dwork, B.
2
1987
Corrections to “The Eisenstein constant”. Zbl 0813.11064
Dwork, Bernard M.; van der Poorten, Alfred J.
2
1994
On the Artin root number. Zbl 0074.26601
Dwork, B.
2
1956
Cohomological interpretation of hypergeometric series. Zbl 0808.12006
Dwork, B.
2
1993
On the size of differential modules. Zbl 0983.12004
Dwork, Bernard M.
1
1999
Nouveau point de vue sur le prolongement algébrique. Zbl 0382.12009
Robba, Philippe; Dwork, B.
1
1978
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
Contiguity relations for generalized hypergeometric functions. Zbl 0814.33004
Adolphson, Alan; Dwork, Bernard
1
1995
p-adic analysis. Proceedings of the international conference held in Trento, Italy, May 29-June 2, 1989. Zbl 0707.00010
Baldassarri, Francesco (ed.); Bosch, Siegfried (ed.); Dwork, Bernard (ed.)
1
1990
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.
58
1994
Modules différentiels sur les couronnes (Differential modules over annuli). Zbl 0859.12004
Christol, Gilles; Dwork, Bernard
24
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.
10
1991
Logarithmic decay and overconvergence of the unit root and associated zeta functions. Zbl 0765.14011
Dwork, B.; Sperber, S.
5
1991
Generalized hypergeometric functions. Zbl 0747.33001
Dwork, Bernard
25
1990
Differential operators with nilpotent \(p\)-curvature. Zbl 0718.12007
Dwork, Bernard
4
1990
p-adic analysis. Proceedings of the international conference held in Trento, Italy, May 29-June 2, 1989. Zbl 0707.00010
Baldassarri, Francesco; Bosch, Siegfried; Dwork, Bernard
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.
7
1986
On Kummer’s twenty-four solutions of the hypergeometric differential equation. Zbl 0552.12012
Dwork, B.
5
1984
The Reich trace formula. Appendice: Une base normale pour l’algèbre de Banach de Reich by Jean Fresnel. Zbl 0561.12013
Boyarsky, Maurizio
2
1984
On the Boyarsky principle. Zbl 0517.12012
Dwork, Bernard
5
1983
Lectures on p-adic differential equations. Zbl 0502.12021
Dwork, Bernard
32
1982
Growth of solutions of linear differential equations at a logarithmic singularity. Zbl 0502.12017
Adolphson, A.; Dwork, B.; Sperber, S.
2
1982
On Apery’s differential operator. Zbl 0493.12031
Dwork, Bernard
1
1981
p-adic Gamma functions and Dwork cohomology. Zbl 0475.14017
Boyarsky, Maurizio
11
1980
Effective p-adic bounds for solutions of homogeneous linear differential equations. Zbl 0439.12016
Dwork, B.; Robba, P.
10
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.
38
1979
On natural radii of p-adic convergence. Zbl 0426.12013
Dwork, B.; Robba, P.
16
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.
17
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.
22
1974
On p-adic differential equations. The Frobenius structure of differential equations. Zbl 0304.14014
Dwork, B. M.
5
1974
Normalized period matrices. II. Zbl 0265.14008
Dwork, B.
20
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.
16
1973
On p-adic differential equations. IV: Generalized hypergeometric functions as p-adic analytic functions in one variable. Zbl 0309.14020
Dwork, B.
13
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.
8
1973
The U\(_p\) operator of Atkin on modular functions of level 2 with growth conditions. Zbl 0276.14010
Dwork, B.
3
1973
Normalized period matrices. I: Plane curves. Zbl 0241.14011
Dwork, B.
12
1971
On Hecke polynomials. Zbl 0219.14014
Dwork, B.
11
1971
p-adic cycles. Zbl 0284.14008
Dwork, B.
58
1969
On the zeta function of a hypersurface. IV: A deformation theory for singular hypersurfaces. Zbl 0213.47402
Dwork, B. 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 1367.14007
Dwork, B.
8
1966
On the zeta function of a hypersurface. II. Zbl 1367.14006
Dwork, B.
34
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, B.
81
1962
On the rationality of the zeta function of an algebraic variety. Zbl 0173.48501
Dwork, Bernard
96
1960
On the congruence properties of the zeta function of algebraic varieties. Zbl 0119.36804
Dwork, Bernard M.
4
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 435 Authors

30 Sperber, Steven I.
24 Adolphson, Alan
20 Dwork, Bernard Morris
13 Wan, Daqing
9 Baldassarri, Francesco
9 Katz, Nicholas Michael
7 Haessig, C. Douglas
7 van der Put, Marius
7 Zannier, Umberto M.
6 Berthelot, Pierre
6 Kedlaya, Kiran Sridhara
6 Lauder, Alan G. B.
5 Christol, Gilles
5 Escassut, Alain
5 Guo, Victor J. W.
5 Pulita, Andrea
4 Buium, Alexandru
4 Chiarellotto, Bruno
4 Doran, Charles F.
4 Hong, Shaofang
4 Nakagawa, Takahiro
4 Salerno, Adriana
4 Volovich, Igor’ Vasil’evich
4 Whitcher, Ursula A.
4 Young, Paul Thomas
3 Anderson, Greg W.
3 Beukers, Frits
3 Bezrodnykh, Sergeĭ I.
3 Blache, Régis
3 Crew, Richard M.
3 Delaygue, Éric
3 Di Vizio, Lucia
3 Esnault, Hélène
3 Etesse, Jean-Yves
3 He, Bing
3 Kelly, Tyler L.
3 Khrennikov, Andreĭ Yur’evich
3 Long, Ling
3 Maier, Robert S.
3 Malagón, Camilo Sanabria
3 Manjra, Said
3 Mebkhout, Zoghman
3 Rivoal, Tanguy
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 Top, Jaap
3 Tsuzuki, Nobuo
3 Voight, John Michael
3 Zuo, Kang
2 André, Yves
2 Arreche, Carlos E.
2 Basu, Saugata
2 Bell, Jason P.
2 Berger, Laurent
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 Evans, Ronald J.
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 Kauers, Manuel
2 Kochubeĭ, Anatoliĭ Naumovych
2 Kozyrev, Sergeĭ Vladimirovich
2 Krenn, Daniel
2 Lagarias, Jeffrey C.
2 Liţcanu, Răzvan
2 Liu, Chunlei
2 Loeser, François
2 Lu, Xin
2 McCarthy, Dermot
2 Mechik, Rachid
2 Mellit, Anton S.
2 Miyasaka, Yuken
2 Mortenson, Eric T.
...and 335 more Authors
all top 5

Cited in 125 Serials

41 Journal of Number Theory
18 Inventiones Mathematicae
16 Compositio Mathematica
16 Journal of Algebra
16 Transactions of the American Mathematical Society
15 Mathematische Annalen
15 Proceedings of the American Mathematical Society
15 International Journal of Number Theory
14 Advances in Mathematics
14 Duke Mathematical Journal
14 Rendiconti del Seminario Matematico della Università di Padova
13 Annales de l’Institut Fourier
10 Journal of Symbolic Computation
10 Bulletin of the American Mathematical Society. New Series
10 Journal de Théorie des Nombres de Bordeaux
10 Finite Fields and their Applications
9 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
8 Publications Mathématiques
8 Journal of Differential Equations
8 Mathematische Zeitschrift
7 Israel Journal of Mathematics
7 Mathematics of Computation
6 Comptes Rendus. Mathématique. Académie des Sciences, Paris
5 Journal of Soviet Mathematics
5 Manuscripta Mathematica
5 Journal of the American Mathematical Society
5 Mémoires de la Société Mathématique de France. Nouvelle Série
5 Indagationes Mathematicae. New Series
5 Annals of Mathematics. Second Series
5 LMS Journal of Computation and Mathematics
5 Foundations of Computational Mathematics
5 \(p\)-Adic Numbers, Ultrametric Analysis, and Applications
4 Journal of Pure and Applied Algebra
4 Journal für die Reine und Angewandte Mathematik
4 Nagoya Mathematical Journal
4 Journal of the Institute of Mathematics of Jussieu
3 Communications in Mathematical Physics
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 Integral Transforms and Special Functions
3 The Ramanujan Journal
3 Algebra & Number Theory
2 Bulletin of the Australian Mathematical Society
2 Journal of Mathematical Analysis and Applications
2 Mathematical Notes
2 Mathematical Proceedings of the Cambridge Philosophical Society
2 Nuclear Physics. B
2 Acta Arithmetica
2 Acta Mathematica
2 Annali di Matematica Pura ed Applicata. Serie Quarta
2 Illinois Journal of Mathematics
2 Proceedings of the Japan Academy. Series A
2 Theoretical Computer Science
2 Tohoku Mathematical Journal. Second Series
2 Journal of Algebraic Combinatorics
2 Annales Mathématiques Blaise Pascal
2 Kyushu Journal of Mathematics
2 Annals of Combinatorics
2 Journal of High Energy Physics
2 Journal of the Australian Mathematical Society
2 Bulletin de la Société Mathématique de France. Supplément. Mémoires
2 Research in the Mathematical Sciences
1 Communications in Algebra
1 Discrete Applied Mathematics
1 Discrete Mathematics
1 Journal of Mathematical Physics
1 Russian Mathematical Surveys
1 Theoretical and Mathematical Physics
1 Journal of Geometry and Physics
1 Bulletin de la Société Mathématique de France
1 Functiones et Approximatio. Commentarii Mathematici
1 Glasgow Mathematical Journal
1 Hiroshima Mathematical Journal
1 Mathematika
1 Memoirs of the American Mathematical Society
1 Osaka Journal of Mathematics
1 Pacific Journal of Mathematics
1 Rendiconti del Seminario Matemàtico e Fisico di Milano
1 Results in Mathematics
1 Tokyo Journal of Mathematics
1 European Journal of Combinatorics
1 Advances in Applied Mathematics
1 Acta Mathematica Hungarica
1 Journal of Complexity
1 Revista Matemática Iberoamericana
1 Journal of Theoretical Probability
1 Forum Mathematicum
1 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni
1 Computational Mathematics and Mathematical Physics
1 Aequationes Mathematicae
1 Annals of Physics
1 L’Enseignement Mathématique. 2e Série
1 Journal de Mathématiques Pures et Appliquées. Neuvième Série
1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
1 Stochastic Processes and their Applications
1 Expositiones Mathematicae
1 Applicable Algebra in Engineering, Communication and Computing
1 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
...and 25 more Serials
all top 5

Cited in 46 Fields

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

Wikidata Timeline

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