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Introduction to Analytic Number Theory
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Catalogue Information
Field name
Details
Dewey Class
512.7
Title
Introduction to Analytic Number Theory ([EBook]) / by Tom M. Apostol.
Author
Apostol, Tom Mike , 1923-2016
Other name(s)
SpringerLink (Online service)
Publication
New York, NY : Springer , 1976.
Physical Details
XII, 340 pages : online resource.
Series
Undergraduate texts in mathematics
0172-6056
ISBN
9781475755794
Contents note
Historical Introduction -- 1 The Fundamental Theorem of Arithmetic -- 2 Arithmetical Functions and Dirichlet Multiplication -- 3 Averages of Arithmetical Functions -- 4 Some Elementary Theorems on the Distribution of Prime Numbers -- 5 Congruences -- 6 Finite Abelian Groups and Their Characters -- 7 Dirichlet’s Theorem on Primes in Arithmetic Progressions -- 8 Periodic Arithmetical Functions and Gauss Sums -- 9 Quadratic Residues and the Quadratic Reciprocity Law -- 10 Primitive Roots -- 11 Dirichlet Series and Euler Products -- 12 The Functions ?(s) and L(s, ?) -- 13 Analytic Proof of the Prime Number Theorem -- 14 Partitions -- Index of Special Symbols.
System details note
Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users)
Internet Site
http://dx.doi.org/10.1007/978-1-4757-5579-4
Links to Related Works
Subject References:
Arithmetic functions
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Mathematics
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Number Theory
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Authors:
Apostol, Tom Mike 1923-2016
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Corporate Authors:
SpringerLink (Online service)
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Series:
Undergraduate texts in mathematics
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Classification:
512.7
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