Introduction to Analytic and Probabilistic Number Theory

Tenenbaum, G. (2015). Introduction to Analytic and Probabilistic Number Theory. Graduate Studies in Mathematics.

Type

Book

Intellectual base

Textbook

Year

2015

DOI

10.1090/gsm/163

ISBN

9780821898543

DOI registrant

American Mathematical Society

Link

https://doi.org/10.1090/gsm/163

Cited by

4 citations across 4 artifacts.

Domain-specific

• Additive function
  • … coprimality condition, value at one, prime-power values, complete-additivity specialization, growth or regularity assumptions, and distinction from Cauchy-additive maps are explicit. to An applied instance preserves the same invariant under a changed scale, notation, jurisdiction, dataset, or implementation..
• Multiplicative Function
  • Tenenbaum treats this algebra as a central language of analytic and probabilistic number theory.
• Normal Order of an Arithmetic Function
  • - Additive arithmetic functions — prime-factor counts and their weighted generalizations, where moment inequalities concentrate values around a simple comparison function.
• Smooth Number
  • The counting function \(\Psi(x,B)\) records B-smooth integers not exceeding \(x\).

Verification

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Links previously used in the corpus

Before the registry existed this work was also linked 1 other way.

• https://bookstore.ams.org/view?ProductCode=GSM%2F163 ×1

Registry ID ref:e6d2b6e7b11b · see in the full table