Author | Davenport, Harold. author |
---|---|
Title | Multiplicative Number Theory [electronic resource] / by Harold Davenport |
Imprint | New York, NY : Springer New York : Imprint: Springer, 1980 |
Edition | Second Edition |
Connect to | http://dx.doi.org/10.1007/978-1-4757-5927-3 |
Descript | XIII, 177 p. online resource |
1 Primes in Arithmetic Progression -- 2 Gaussโ Sum -- 3 Cyclotomy -- 4 Primes in Arithmetic Progression: The General Modulus -- 5 Primitive Characters -- 6 Dirichletโs Class Number Formula -- 7 The Distribution of the Primes -- 8 Riemannโs Memoir -- 9 The Functional Equation of the L Functions -- 10 Properties of the ? Function -- 11 Integral Functions of Order 1 -- 12 The Infinite Products for ?(s) and ?(s, ?) -- 13 A Zero-Free Region for ?(s) -- 14 Zero-Free Regions for L(s, ?) -- 15 The Number N(T) -- 16 The Number N(T, ?) -- 17 The Explicit Formula for ?(x) -- 18 The Prime Number Theorem -- 19 The Explicit Formula for ?(x, ?) -- 20 The Prime Number Theorem for Arithmetic Progressions (I) -- 21 Siegelโs Theorem -- 22 The Prime Number Theorem for Arithmetic Progressions (II) -- 23 The Pรณlya-Vinogradov Inequality -- 24 Further Prime Number Sums -- 25 An Exponential Sum Formed with Primes -- 26 Sums of Three Primes -- 27 The Large Sieve -- 28 Bombieriโs Theorem -- 29 An Average Result -- 30 References to Other Work