Introduction to Analytic Number Theory

Apostol, T. M. (1976). Introduction to Analytic Number Theory. Springer.

Type

Book

Intellectual base

Textbook

Year

1976

DOI

10.1007/978-1-4757-5579-4

ISBN

9781441928054

Link

https://doi.org/10.1007/978-1-4757-5579-4

Cited by

5 citations across 5 artifacts.

Domain-specific

• Arithmetic function
  • The entry records a descriptive analytical identity; practical use requires the governing domain's evidence, standards, and safety obligations.
• Dirichlet Eta Function
  • It supplies special values such as \(\eta(1)=\log 2\) and \(\eta(0)=1/2\) by continuation, and connects zeta zeros to a function without a pole.
• Divisor Function
  • Apostol treats arithmetical functions and Dirichlet multiplication as foundational machinery of analytic number theory.
• Möbius function
  • … constitutive identity and a convenient observable transfers from μ(6)=1 because six has two distinct prime factors, while μ(12)=0 because twelve is divisible by four. to A calculation distinguishes the number-theoretic function from the incidence-algebra Möbius function while noting their common inversion structure..
• Multiplicative Function
  • Apostol develops multiplicative functions together with Dirichlet multiplication and uses unique prime factorization to make their local-to-global structure explicit.

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