Introduction to Analytic Number Theory

Tom M. Apostol (Autor)

Buch | Hardcover

340 Seiten

1976 | 1st ed. 1976. Corr. 5th printing 1998
Springer-Verlag New York Inc.
978-0-387-90163-3 (ISBN)

Infos

Suitable for undergraduates, this book starts with the most elementary properties of the natural integers.

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"This book is the first volume of a two-volume textbook for undergraduates and is indeed the crystallization of a course offered by the author at the California Institute of Technology to undergraduates without any previous knowledge of number theory. For this reason, the book starts with the most elementary properties of the natural integers. Nevertheless, the text succeeds in presenting an enormous amount of material in little more than 300 pages."--MATHEMATICAL REVIEWS

Inhalt

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.

Produkt-Details

• Reihe/Serie: Undergraduate Texts in Mathematics
• Zusatzinfo: XII, 340 p.
• Verlagsort: New York, NY
• Sprache: englisch
• Maße: 155 x 235 mm
• Themenwelt: Mathematik / Informatik ► Mathematik ► Arithmetik / Zahlentheorie
• Themenwelt: Mathematik / Informatik ► Mathematik ► Wahrscheinlichkeit / Kombinatorik
• ISBN-10: 0-387-90163-9 / 0387901639
• ISBN-13: 978-0-387-90163-3 / 9780387901633
• Zustand: Neuware