Analytic number theory: An introductory course
โ Scribed by Bateman P., Diamond H.
- Publisher
- WS
- Year
- 2004
- Tongue
- English
- Leaves
- 375
- Category
- Library
No coin nor oath required. For personal study only.
โฆ Synopsis
This valuable book focuses on a collection of powerful methods of analysis that yield deep number-theoretical estimates. Particular attention is given to counting functions of prime numbers and multiplicative arithmetic functions. Both real variable ("elementary") and complex variable ("analytic") methods are employed. The reader is assumed to have knowledge of elementary number theory (abstract algebra will also do) and real and complex analysis. Specialized analytic techniques, including transform and Tauberian methods, are developed as needed.
๐ SIMILAR VOLUMES
<span>This valuable book focuses on a collection of powerful methods of analysis that yield deep number-theoretical estimates. Particular attention is given to counting functions of prime numbers and multiplicative arithmetic functions. Both real variable ("elementary") and complex variable ("analyt
171 pages.<div class="bb-sep"></div><strong>Contents</strong>.<br/>Introduction.<br/>Prime Numbers.<br/>Congruences.<br/>Multiplicative Number Theoretic Functions.<br/>Primitive Roots and Quadratic Residues.<br/>Introduction to Continued Fractions.<br/>Introduction to Analytic Number Theory.<br/>Oth