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Number theory [electronic resource]

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Number theory

Containing contributions from leading mathematicians worldwide, this two-volume set gives a comprehensive picture of current research in Number Theory. The topics include: # elementary number theory # sequences of integers # additive and multiplicative number theory # exponential and character sums # zeta and L-functions # uniform distribution.

Number theory

This is the English translation of the original Japanese book. In this volume, 'Fermat's Dream', core theories in modern number theory are introduced. Developments are given in elliptic curves, $p$-adic numbers, the $\zeta$-function, and the number fields. This work presents an elegant perspective on the wonder of numbers. Number Theory 2 on class field theory, and Number Theory 3 on Iwasawa theory and the theory of modular forms, are forthcoming in the series.

Online V. 1 American Mathematical Society

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