WorldCat Identities

Dwork, Bernard M.

Overview
Works: 22 works in 100 publications in 3 languages and 1,795 library holdings
Genres: Conference papers and proceedings 
Roles: Author, Editor, Dedicatee, Honoree, Other
Classifications: QA372, 515.35
Publication Timeline
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Most widely held works about Bernard M Dwork
 
Most widely held works by Bernard M Dwork
Lectures on p-adic differential equations by Bernard M Dwork( Book )

18 editions published between 1980 and 1982 in English and held by 425 WorldCat member libraries worldwide

The present work treats p-adic properties of solutions of the hypergeometric differential equation d2 d ~ (x(l - x) dx + (c(l - x) + (c - 1 - a - b)x) dx - ab)y = 0, 2 with a, b, c in 4) n Zp, by constructing the associated Frobenius structure. For this construction we draw upon the methods of Alan Adolphson [1] in his 1976 work on Hecke polynomials. We are also indebted to him for the account (appearing as an appendix) of the relation between this differential equation and certain L-functions. We are indebted to G. Washnitzer for the method used in the construction of our dual theory (Chapter 2). These notes represent an expanded form of lectures given at the U.L.P. in Strasbourg during the fall term of 1980. We take this opportunity to thank Professor R. Girard and IRMA for their hospitality. Our subject-p-adic analysis-was founded by Marc Krasner. We take pleasure in dedicating this work to him. Contents 1 Introduction ... ... 1. The Space L (Algebraic Theory) 8 2. Dual Theory (Algebraic) 14 3. Transcendental Theory ... 33 4. Analytic Dual Theory. ... 48 5. Basic Properties of", Operator. 73 6. Calculation Modulo p of the Matrix of ~ f, h 92 7. Hasse Invariants ... 108 8. The a --+ a' Map ... ... 110 9. Normalized Solution Matrix. ... .. 113 10. Nilpotent Second-Order Linear Differential Equations with Fuchsian Singularities. ... ... 137 11. Second-Order Linear Differential Equations Modulo Powers ofp
P-adic analysis : proceedings of the international conference held in Trento, Italy, May 29-June 2, 1989 by F Baldassarri( Book )

19 editions published in 1990 in English and German and held by 376 WorldCat member libraries worldwide

An introduction to G-functions by Bernard M Dwork( Book )

10 editions published in 1994 in English and held by 366 WorldCat member libraries worldwide

After presenting a review of valuation theory and elementary p-adic analysis together with an application to the congruence zeta function, this book offers a detailed study of the p-adic properties of formal power series solutions of linear differential equations. In particular, the p-adic radii of convergence and the p-adic growth of coefficients are studied. Recent work of Christol, Bombieri, André, and Dwork is treated and augmented. The book concludes with Chudnovsky's theorem: the analytic continuation of a G -series is again a G -series. This book will be indispensable for those wishing to study the work of Bombieri and André on global relations and for the study of the arithmetic properties of solutions of ordinary differential equations
Generalized hypergeometric functions by Bernard M Dwork( Book )

10 editions published between 1990 and 2011 in English and Undetermined and held by 304 WorldCat member libraries worldwide

On the zeta function of a hypersurface by Bernard M Dwork( Book )

13 editions published in 1962 in English and French and held by 69 WorldCat member libraries worldwide

Cohomologie p-adique by Bernard M Dwork( Book )

8 editions published in 1984 in French and English and held by 24 WorldCat member libraries worldwide

Index theory for skew-adjoint Fredholm operators by Michael Francis Atiyah( Book )

5 editions published in 1969 in English and held by 15 WorldCat member libraries worldwide

Photofluorimeters for determination of uranium and beryllium concentrations by H. J DiGiovanni( Book )

3 editions published in 1954 in English and held by 10 WorldCat member libraries worldwide

Index theory for skew adjoint Fredholm operators. P-adic cycles / by B. Dwork [u. a.] by Michael Francis Atiyah( Book )

1 edition published in 1969 in English and held by 5 WorldCat member libraries worldwide

On the zeta function of a hypersurface (p. 5 à 68) by Bernard M Dwork( Book )

1 edition published in 1962 in English and held by 3 WorldCat member libraries worldwide

On the root number in the functional equation of the Artin-Weil L-series by Bernard M Dwork( )

1 edition published in 1954 in English and held by 2 WorldCat member libraries worldwide

On the zeta function of a hypersurface by Bernard M Dwork( )

1 edition published in 1962 in English and held by 2 WorldCat member libraries worldwide

ON THE ZETA FUNCTION OF A HYPERSURFACE( Book )

1 edition published in 1962 in English and held by 1 WorldCat member library worldwide

This article is concerned with the further development of the methods of p-adic analysis used in an earlier article to study the zeta function of an algebraic variety defined over a finite field. These methods are applied to the zeta function of a nonsingular hypersurface of degree d in projective n-space of characteristic p defined over the field of q elements
Geometric aspects of Dwork theory( Book )

1 edition published in 2004 in English and held by 1 WorldCat member library worldwide

This two-volume book collects the lectures given during the three months cycle of lectures held in Northern Italy between May and July of 2001 to commemorate Professor Bernard Dwork (1923 - 1998). It presents a wide-ranging overview of some of the most a
Lectures on topics on Diophantine approximation by Harold N Shapiro( Book )

in English and held by 1 WorldCat member library worldwide

Applications of Analysis to Algebraic Geometry( Book )

1 edition published in 1971 in English and held by 1 WorldCat member library worldwide

A project concerned with enumerative geometry is briefly summarized. (Author)
An introduction fo G-functions : Bernard Dwork, Giovanni Gerotto, Francis J. Sullivan by Bernard M Dwork( Book )

1 edition published in 1994 in English and held by 1 WorldCat member library worldwide

Normalized period matrices( Book )

in English and held by 1 WorldCat member library worldwide

P-Adic cycles by Bernard M Dwork( )

1 edition published in 1969 in English and held by 1 WorldCat member library worldwide

Index Theory for Skew-adjoint Fredholm Operators, u.a by Michael Francis Atiyah( Book )

1 edition published in 1969 in English and held by 1 WorldCat member library worldwide

 
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P-adic analysis : proceedings of the international conference held in Trento, Italy, May 29-June 2, 1989
Alternative Names
Bernard Dwork Amerikaans wiskundige

Bernard Dwork amerikansk matematikar

Bernard Dwork amerikansk matematiker

Bernard Dwork mathématicien américain

Bernard Dwork US-amerikanischer Mathematiker

Bernard M. Dwork matematico statunitense

Dwork, B.

Dwork, B. 1923-1998

Dwork, B. (Bernard)

Dwork, Bernard.

Dwork, Bernard 1923-1998

Dwork, Bernard M.

Dwork Bernard M. 1923-1998

버나드 드워크

Languages
English (88)

French (9)

German (1)

Covers
An introduction to G-functionsGeometric aspects of Dwork theory