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A primer of analytic number theory : from Pythagoras to Riemann /

"This undergraduate introduction to analytic number theory develops analytic skills in the course of a study of ancient questions on polygonal numbers, perfect numbers, and amicable pairs. The question of how the primes are distributed among all integers is central in analytic number theory. Th...

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Bibliographic Details
Call Number:Libro Electrónico
Main Author: Stopple, Jeffrey, 1958-
Format: Electronic eBook
Language:Inglés
Published: Cambridge, UK ; New York : Cambridge University Press, 2003.
Subjects:
Online Access:Texto completo
Table of Contents:
  • Sums and differences
  • Products and divisibility
  • Order and magnitude
  • Averages
  • Calculus
  • Primes
  • Series
  • Basel problem
  • Euler's product
  • Complex numbers
  • The Riemann zeta function
  • Symmetry
  • Explicit formula
  • Modular arithmetic
  • Pell's equation
  • Elliptic curves
  • Analytic theory of algebraic numbers.