Multiplicative Number Theory
Edition: 3rd 2000 (Revised)
List price: $79.95
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Description: This book thoroughly examines the distribution of prime numbers in arithmetic progressions. It covers many classical results, including the Dirichlet theorem on the existence of prime numbers in arithmetical progressions, the theorem of Siegel, and functional equations of the L-functions and their consequences for the distribution of prime numbers. In addition, a simplified, improved version of the large sieve method is presented. The 3rd edition includes a large number of revisions and corrections as well as a new section with references to more recent work in the field.
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All the information you need in one place! Each Study Brief is a summary of one specific subject; facts, figures, and explanations to help you learn faster.
List price: $79.95
Copyright year: 2000
Publication date: 10/31/2000
Size: 6.00" wide x 9.25" long x 0.50" tall
|From the contents: Primes in Arithmetic Progression|
|Primes in Arithmetic Progression: The General Modulus|
|Dirichlet's Class Number Formula|
|The Distribution of the Primes|
|The Functional Equation of the L Function|
|Properties of the Gamma Function|
|Integral Functions of Order 1|
|The Infinite Products for xi(s) and xi(s,Zero-Free Region for zeta(s)|
|Zero-Free Regions for L(s, chi)|
|The Number N(T)|
|The Number N(T, chi)|
|The explicit Formula for psi(x)|
|The Prime Number Theorem|
|The Explicit Formula for psi(x,chi)|
|The Prime Number Theorem for Arithmetic Progressions (I)|
|The Prime Number Theorem for Arithmetic Progressions (II)|
|The P[$$$]lya-Vinogradov Inequality|
|Further Prime Number Sums|