WorldCat Identities

Schappacher, Norbert

Overview
Works: 34 works in 131 publications in 4 languages and 2,045 library holdings
Genres: Conference papers and proceedings  History  Biography 
Roles: Author, Editor, Translator, Author of introduction, Other, Interviewee, Redactor
Classifications: QA241,
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 357 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 so-called 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 252 WorldCat member libraries worldwide

Regulators in analysis, geometry, and number theory by Alexander Reznikov( Book )

14 editions published between 1999 and 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 L-functions by M Rapoport( Book )

12 editions published between 1988 and 2014 in English and Undetermined and held by 229 WorldCat member libraries worldwide

Beilinson's Conjectures on Special Values of L-Functions
The shaping of arithmetic : after C.F. Gauss's Disquisitiones Arithmeticae by Catherine Goldstein( Book )

18 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 in-depth 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
Algebraic number theory by Jürgen Neukirch( Book )

5 editions published in 1999 in English and held by 80 WorldCat member libraries worldwide

"The present book has as its aim to resolve a discrepancy in the textbook literature and ... to provide a comprehensive introduction to algebraic number theory which is largely based on the modern, unifying conception of (one-dimensional) arithmetic algebraic geometry. ... Despite this exacting program, the book remains an introduction to algebraic number theory for the beginner ... The author discusses the classical concepts from the viewpoint of Arakelov theory ... The treatment of class field theory is ... particularly rich in illustrating complements, hints for further study, and concrete examples ... The concluding chapter VII on zeta-functions and L-series is another outstanding advantage of the present textbook ... The book is, without any doubt, the most up-to-date, systematic, and theoretically comprehensive textbook on algebraic number field theory available." W. Kleinert in Z.blatt f. Math., 1992 "The author's enthusiasm for this topic is rarely as evident for the reader as in this book. - A good book, a beautiful book." F. Lorenz in Jber. DMV 1995 "The present work is written in a very careful and masterly fashion. It does not show the pains that it must have caused even an expert like Neukirch. It undoubtedly is liable to become a classic; the more so as recent developments have been taken into account which will not be outdated quickly. Not only must it be missing from the library of no number theorist, but it can simply be recommended to every mathematician who wants to get an idea of modern arithmetic." J. Schoissengeier in Montatshefte Mathematik 1994
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

Disquisitiones arithmeticae by Carl Friedrich Gauss( Book )

6 editions published in 2006 in Latin and German and held by 22 WorldCat member libraries worldwide

K-theory : Strasbourg, 1992 by Colloque international de K-théorie( Book )

1 edition published in 1994 in English and held by 18 WorldCat member libraries worldwide

Politisches in der Mathematik - Versuch einer Spurensicherung by Norbert Schappacher( )

4 editions published in 2002 in German and held by 16 WorldCat member libraries worldwide

The theory of algebraic number fields by David Hilbert( Book )

3 editions published in 1998 in English and held by 13 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 (1862-1943) 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
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

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

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

Der nahe und der ferne Euler by Norbert Schappacher( )

2 editions published in 2007 in German and held by 2 WorldCat member libraries worldwide

Séries de Kronecker et fonctions L des puissances symétriques de courbes elleptiques sur Q by Jean-François Mestre( Book )

1 edition published in 1989 in German and held by 2 WorldCat member libraries worldwide

Réduction de familles de points CM by Christophe Cornut( Book )

2 editions published in 2000 in French and held by 2 WorldCat member libraries worldwide

UNE COURBE ELLIPTIQUE MODULAIRE EST EQUIPPEE D'UNE FAMILLE DE POINTS CM SPECIAUX, LES POINTS DE HEEGNER, QUI SONT DEFINIS SUR DES EXTENSIONS DIHEDRALES DU CORPS DES RATIONNELS. NOUS DEMONTRONS UNE CONJECTURE DE BARRY MAZUR (ICM 83), SELON LAQUELLE LES POINTS DE HEEGNER DONT LE CONDUCTEUR DECRIT LES PUISSANCES D'UN NOMBRE PREMIER P FIXE DONNENT NAISSANCE A DES POINTS DE RANG INFINI DANS LES GROUPES DE MORDELL-WEIL DE LA COURBE ELLIPTIQUE LE LONG DE LA P-EXTENSION ANTICYCLOTOMIQUE DU CORPS DE MULTIPLICATION COMPLEXE. NOUS ETUDIONS POUR CELA PLUS GENERALEMENT LES PROPRIETES DE SURJECTIVITE DE LA REDUCTION SUPERSINGULIERE SIMULTANEE DE FAMILLES DE POINTS CM
Rational points : Seminar Bonn/Wuppertal 1983/84 by Gerd Faltings( Book )

1 edition published in 1986 in English and held by 2 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
 
moreShow More Titles
fewerShow Fewer Titles
Audience Level
0
Audience Level
1
  Kids General Special  
Audience level: 0.69 (from 0.56 for The shapin ... to 0.96 for Von Klangf ...)

Periods of Hecke characters
Alternative Names
Norbert Schappacher deutscher Mathematiker

Norbert Schappacher Duits wiskundige

Norbert Schappacher German mathematician and historian of mathematics

Schappacher, N.

Schappacher, N. (Norbert)

Languages
English (75)

German (17)

French (15)

Latin (5)

Covers
Les conjectures de Stark sur les fonctions L d'Artin en s=O : notes d'un cours à Orsay [de] John TateRegulators in analysis, geometry, and number theoryThe shaping of arithmetic : after C.F. Gauss's Disquisitiones ArithmeticaeAlgebraic number theoryThe theory of algebraic number fields