Schappacher, Norbert
Overview
Works:  38 works in 135 publications in 4 languages and 2,177 library holdings 

Genres:  Conference papers and proceedings History Biography 
Roles:  Author, Editor, Translator, Author of introduction, Thesis advisor, Interviewee, Redactor, Other 
Classifications:  QA241, 512 
Publication Timeline
.
Most widely held works by
Norbert Schappacher
Periods of Hecke characters by
Norbert Schappacher(
Book
)
21 editions published between 1986 and 1988 in 3 languages and held by 353 WorldCat member libraries worldwide
The starting point of this Lecture Notes volume is Deligne's theorem about absolute Hodge cycles on abelian varieties. Its applications to the theory of motives with complex multiplication are systematically reviewed. In particular, algebraic relations between values of the gamma function, the socalled formula of Chowla and Selberg and its generalization and Shimura's monomial relations among periods of CM abelian varieties are all presented in a unified way, namely as the analytic reflections of arithmetic identities beetween Hecke characters, with gamma values corresponding to Jacobi sums. The last chapter contains a special case in which Deligne's theorem does not apply
21 editions published between 1986 and 1988 in 3 languages and held by 353 WorldCat member libraries worldwide
The starting point of this Lecture Notes volume is Deligne's theorem about absolute Hodge cycles on abelian varieties. Its applications to the theory of motives with complex multiplication are systematically reviewed. In particular, algebraic relations between values of the gamma function, the socalled formula of Chowla and Selberg and its generalization and Shimura's monomial relations among periods of CM abelian varieties are all presented in a unified way, namely as the analytic reflections of arithmetic identities beetween Hecke characters, with gamma values corresponding to Jacobi sums. The last chapter contains a special case in which Deligne's theorem does not apply
Les conjectures de Stark sur les fonctions L d'Artin en s=O : notes d'un cours à Orsay [de] John Tate by
John Torrence Tate(
Book
)
12 editions published in 1984 in French and English and held by 257 WorldCat member libraries worldwide
12 editions published in 1984 in French and English and held by 257 WorldCat member libraries worldwide
Regulators in analysis, geometry, and number theory(
Book
)
13 editions published in 2000 in English and held by 230 WorldCat member libraries worldwide
"The focus in this book is on the theory of regulators and secondary invariants, with articles written and refereed by experts in their respective fields
13 editions published in 2000 in English and held by 230 WorldCat member libraries worldwide
"The focus in this book is on the theory of regulators and secondary invariants, with articles written and refereed by experts in their respective fields
Beilinson's conjectures on special values of Lfunctions by
M Rapoport(
Book
)
12 editions published between 1988 and 2014 in English and Undetermined and held by 227 WorldCat member libraries worldwide
Beilinson's Conjectures on Special Values of LFunctions
12 editions published between 1988 and 2014 in English and Undetermined and held by 227 WorldCat member libraries worldwide
Beilinson's Conjectures on Special Values of LFunctions
The shaping of arithmetic : after C.F. Gauss's Disquisitiones Arithmeticae by
Catherine Goldstein(
Book
)
14 editions published between 2006 and 2011 in English and held by 185 WorldCat member libraries worldwide
The cultural historian, Theodore Merz called it the great book with seven seals, the mathematician Leopold Kronecker, "the book of all books": already one century after their publication, C.F. Gauss's "Disquisitiones Arithmeticae" (1801) had acquired an almost mythical reputation. It had served throughout the XIXth century and beyond as an ideal of exposition in matters of notation, problems and methods; as a model of organisation and theory building; and of course as a source of mathematical inspiration. Various readings of the "Disquisitiones Arithmeticae" have left their mark on developments as different as Galois's theory of algebraic equations, Lucas's primality tests, and Dedekind's theory of ideals. The present volume revisits successive periods in the reception of the Disquisitiones: it studies which parts were taken up and when, which themes were further explored. It also focuses on how specific mathematicians reacted to Gauss's book: Dirichlet and Hermite, Kummer and Genocchi, Dedekind and Zolotarev, Dickson and Emmy Noether, among others. An astounding variety of research programmes in the theory of numbers can be traced back to it.; The 19 authors  mathematicians, historians, philosophers  who have collaborated on this volume contribute indepth studies on the various aspects of the bicentennial voyage of this mathematical text through history, and the way that the number theory we know today came into being
14 editions published between 2006 and 2011 in English and held by 185 WorldCat member libraries worldwide
The cultural historian, Theodore Merz called it the great book with seven seals, the mathematician Leopold Kronecker, "the book of all books": already one century after their publication, C.F. Gauss's "Disquisitiones Arithmeticae" (1801) had acquired an almost mythical reputation. It had served throughout the XIXth century and beyond as an ideal of exposition in matters of notation, problems and methods; as a model of organisation and theory building; and of course as a source of mathematical inspiration. Various readings of the "Disquisitiones Arithmeticae" have left their mark on developments as different as Galois's theory of algebraic equations, Lucas's primality tests, and Dedekind's theory of ideals. The present volume revisits successive periods in the reception of the Disquisitiones: it studies which parts were taken up and when, which themes were further explored. It also focuses on how specific mathematicians reacted to Gauss's book: Dirichlet and Hermite, Kummer and Genocchi, Dedekind and Zolotarev, Dickson and Emmy Noether, among others. An astounding variety of research programmes in the theory of numbers can be traced back to it.; The 19 authors  mathematicians, historians, philosophers  who have collaborated on this volume contribute indepth studies on the various aspects of the bicentennial voyage of this mathematical text through history, and the way that the number theory we know today came into being
Eine diophantische Invariante von Singularitäten über nichtarchimedischen Körpern by
Norbert Schappacher(
Book
)
4 editions published in 1978 in German and Undetermined and held by 25 WorldCat member libraries worldwide
4 editions published in 1978 in German and Undetermined and held by 25 WorldCat member libraries worldwide
Disquisitiones arithmeticae by
Carl Friedrich Gauss(
Book
)
6 editions published in 2006 in Latin and German and held by 25 WorldCat member libraries worldwide
Translated from the 2d ed. of 1870, edited by F.C.J. Schgsa ering
6 editions published in 2006 in Latin and German and held by 25 WorldCat member libraries worldwide
Translated from the 2d ed. of 1870, edited by F.C.J. Schgsa ering
Ktheory : Strasbourg, 1992 by Colloque International de KThéorie(
Book
)
1 edition published in 1994 in English and held by 19 WorldCat member libraries worldwide
1 edition published in 1994 in English and held by 19 WorldCat member libraries worldwide
The theory of algebraic number fields by
David Hilbert(
Book
)
3 editions published in 1998 in English and held by 17 WorldCat member libraries worldwide
This book is an English translation of Hilbert's Zahlbericht, the monumental report on the theory of algebraic number field which he composed for the German Mathematical Society. In this magisterial work Hilbert provides a unified account of the development of algebraic number theory up to the end of the nineteenth century. He greatly simplified Kummer's theory and laid the foundation for a general theory of abelian fields and class field theory. David Hilbert (18621943) made great contributions to many areas of mathematics  invariant theory, algebraic number theory, the foundations of geometry, integral equations, the foundations of mathematics and mathematical physics. He is remembered also for his lecture at the Paris International Congress of Mathematicians in 1900 where he presented a set of 23 problems "from the discussion of which an advancement of science may be expected"His expectations have been amply fulfilled
3 editions published in 1998 in English and held by 17 WorldCat member libraries worldwide
This book is an English translation of Hilbert's Zahlbericht, the monumental report on the theory of algebraic number field which he composed for the German Mathematical Society. In this magisterial work Hilbert provides a unified account of the development of algebraic number theory up to the end of the nineteenth century. He greatly simplified Kummer's theory and laid the foundation for a general theory of abelian fields and class field theory. David Hilbert (18621943) made great contributions to many areas of mathematics  invariant theory, algebraic number theory, the foundations of geometry, integral equations, the foundations of mathematics and mathematical physics. He is remembered also for his lecture at the Paris International Congress of Mathematicians in 1900 where he presented a set of 23 problems "from the discussion of which an advancement of science may be expected"His expectations have been amply fulfilled
Politisches in der Mathematik  Versuch einer Spurensicherung by
Norbert Schappacher(
)
1 edition published in 2002 in German and held by 8 WorldCat member libraries worldwide
1 edition published in 2002 in German and held by 8 WorldCat member libraries worldwide
Politisches in der Mathematik : Versuch einer spurensicherung by
Norbert Schappacher(
Book
)
3 editions published in 2002 in German and held by 8 WorldCat member libraries worldwide
3 editions published in 2002 in German and held by 8 WorldCat member libraries worldwide
Weiterentwicklung oder Umbruch? : zu Oscar Zariskis Arithmetisierung der algebraischen Geometrie = Continuité ou rupture?
: à propos de l'arithmétisation de la géometrie algébrique selon Oscar Zariski by
Silke Slembek(
Book
)
2 editions published in 2002 in German and held by 3 WorldCat member libraries worldwide
2 editions published in 2002 in German and held by 3 WorldCat member libraries worldwide
Séries de Kronecker et fonctions L des puissances symétriques de courbes elleptiques sur Q by
J.F Mestre(
Book
)
2 editions published in 1989 in German and French and held by 3 WorldCat member libraries worldwide
2 editions published in 1989 in German and French and held by 3 WorldCat member libraries worldwide
Ideologie, Wissenschaftspolitik, und die Ehre, Mitglied der Akademie zu sein Ein Fall aus dem zwanzigsten Jahrhundert by
Norbert Schappacher(
Book
)
3 editions published in 2015 in English and German and held by 3 WorldCat member libraries worldwide
3 editions published in 2015 in English and German and held by 3 WorldCat member libraries worldwide
Les conjectures de Beilinson pour les courbes elliptiques by
Norbert Schappacher(
Book
)
2 editions published in 1989 in German and French and held by 3 WorldCat member libraries worldwide
2 editions published in 1989 in German and French and held by 3 WorldCat member libraries worldwide
Von Klangfarben, Predigtmaschinen und den Grenzen der Analysis by
Norbert Schappacher(
)
1 edition published in 2010 in German and held by 3 WorldCat member libraries worldwide
1 edition published in 2010 in German and held by 3 WorldCat member libraries worldwide
Développement de la loi de groupe sur une cubique by
Norbert Schappacher(
Book
)
2 editions published in 1990 in German and French and held by 3 WorldCat member libraries worldwide
2 editions published in 1990 in German and French and held by 3 WorldCat member libraries worldwide
Regulators in Analysis, Geometry and Number Theory by
Alexander Reznikov(
)
1 edition published in 2000 in English and held by 0 WorldCat member libraries worldwide
1 edition published in 2000 in English and held by 0 WorldCat member libraries worldwide
Mathematics in Berlin by
Heinrich G. W Begehr(
)
2 editions published in 1998 in English and held by 0 WorldCat member libraries worldwide
This book is a font of information for readers interested in the mathematical past and present of Berlin. It presents a comprehensive, condensed overview of mathematical activity in Berlin, beginning with the foundation of the Academy by Leibniz and carrying over almost to the present day. Many towering figures in mathematical history worked in Berlin, and thus most of the chapters of this book are essentially concise biographies of these luminaries. The presentations are held together and complemented by a few articles examining the overall development of entire periods of scientific life at Berlin. Chapters cover the foundation of the University of Berlin, the "Golden Age" of mathematics (spanning the second half of the 19th century), the Nazi period, the development of mathematics in East and West Berlin during the political division of the city, and the merging of the formerly separated mathematical communities with the reunification of Germany
2 editions published in 1998 in English and held by 0 WorldCat member libraries worldwide
This book is a font of information for readers interested in the mathematical past and present of Berlin. It presents a comprehensive, condensed overview of mathematical activity in Berlin, beginning with the foundation of the Academy by Leibniz and carrying over almost to the present day. Many towering figures in mathematical history worked in Berlin, and thus most of the chapters of this book are essentially concise biographies of these luminaries. The presentations are held together and complemented by a few articles examining the overall development of entire periods of scientific life at Berlin. Chapters cover the foundation of the University of Berlin, the "Golden Age" of mathematics (spanning the second half of the 19th century), the Nazi period, the development of mathematics in East and West Berlin during the political division of the city, and the merging of the formerly separated mathematical communities with the reunification of Germany
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Audience Level
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Related Identities
 Schwermer, Joachim Editor
 Goldstein, Catherine (Mathematician) Author Editor
 Reznikov, Alexander 19602003 Author Editor
 Schneider, P. (Peter) 1953 Editor
 Rapoport, M. 1948 Author Editor
 Bernardi, Dominique Other Redactor Editor
 Tate, John Torrence 1925 Author
 Neukirch, Jürgen Author
 Begehr, Heinrich Author
 Koch, Helmut Editor
Useful Links
Associated Subjects
Algebra Algebra, Abstract Algebraic fields Arithmetic Beilinson's conjectures Congruences and residues Cyclotomy Differential equations, Partial Disquisitiones arithmeticae (Gauss, Carl Friedrich) Forms, Modular Germany GermanyBerlin Global differential geometry Hecke operators Ktheory Lfunctions Mathematicians Mathematics MathematicsStudy and teaching (Higher) Multiplication, Complex Number theory Regulators (Mathematics) Series, Taylor's Stark's conjectures Topology