Number Theory

Number Theory Proceedings of the Journées Arithmétiques held in Ulm, FRG, September 14–18, 1987 / [electronic resource] : edited by Hans Peter Schlickewei, Eduard Wirsing. - VIII, 272 p. online resource. - Lecture Notes in Mathematics, 1380 0075-8434 ; . - Lecture Notes in Mathematics, 1380 .

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.

9783540462057

10.1007/BFb0086541 doi


Number theory.
Number Theory.

QA241-247.5

512.7
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