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Number Theory [electronic resource] : Proceedings of the Journées Arithmétiques held in Ulm, FRG, September 14–18, 1987 / edited by Hans Peter Schlickewei, Eduard Wirsing.

Contributor(s): Material type: TextTextSeries: Lecture Notes in Mathematics ; 1380Publisher: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 1989Description: VIII, 272 p. online resourceContent type:
  • text
Media type:
  • computer
Carrier type:
  • online resource
ISBN:
  • 9783540462057
Subject(s): Additional physical formats: Printed edition:: No title; Printed edition:: No titleDDC classification:
  • 512.7 23
LOC classification:
  • QA241-247.5
Online resources:
Contents:
Applications of Cayley-Chow forms -- Partitions into parts which are unequal and large -- Links between solutions of A?B=C and elliptic curves -- Factorizations of algebraic integers -- Etude d'une famille modulaire de variétés abéliennes -- Weyl's inequality and hua's inequality -- Positive definite binary quadratic forms over k[X] -- Mean value estimates for exponential sums -- Some results on diophantine approximation related to Dirichlet's Theorem -- On cliques of exceptional units and Lenstra's construction of Euclidean fields -- Sumsets containing k-free integers -- On the representation of 1 by binary cubic forms with positive discriminant -- A linear relation between theta series of degree and weight 2 -- Integral points on curves and surfaces -- Weak uniform distribution of second-order linear recurring sequences -- Correspondance modulaire galois - quaternions pour un corps p-adique.
In: Springer eBooksSummary: The 15 papers of this selection of contributions to the Journées Arithmétiques 1987 include both survey articles and original research papers and represent a cross-section of topics such as Abelian varieties, algebraic integers, arithmetic algebraic geometry, additive number theory, computational number theory, exponential sums, modular forms, transcendence and Diophantine approximation, uniform distribution.
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Applications of Cayley-Chow forms -- Partitions into parts which are unequal and large -- Links between solutions of A?B=C and elliptic curves -- Factorizations of algebraic integers -- Etude d'une famille modulaire de variétés abéliennes -- Weyl's inequality and hua's inequality -- Positive definite binary quadratic forms over k[X] -- Mean value estimates for exponential sums -- Some results on diophantine approximation related to Dirichlet's Theorem -- On cliques of exceptional units and Lenstra's construction of Euclidean fields -- Sumsets containing k-free integers -- On the representation of 1 by binary cubic forms with positive discriminant -- A linear relation between theta series of degree and weight 2 -- Integral points on curves and surfaces -- Weak uniform distribution of second-order linear recurring sequences -- Correspondance modulaire galois - quaternions pour un corps p-adique.

The 15 papers of this selection of contributions to the Journées Arithmétiques 1987 include both survey articles and original research papers and represent a cross-section of topics such as Abelian varieties, algebraic integers, arithmetic algebraic geometry, additive number theory, computational number theory, exponential sums, modular forms, transcendence and Diophantine approximation, uniform distribution.

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