scholarly journals Book Review: Pi and the AGM: A study in analytic number theory and computational complexity

1990 ◽  
Vol 22 (1) ◽  
pp. 198-202 ◽  
Author(s):  
George E. Andrews
Keyword(s):  
Number Theory ◽  
Computational Complexity ◽  
Analytic Number Theory ◽  
Analytic Number

Pi and the AGM--A Study of Analytic Number Theory and Computational Complexity.

1988 ◽  
Vol 50 (181) ◽  
pp. 352 ◽  
Author(s):  
Bruce C. Berndt ◽  
Jonathan M. Borwein ◽  
Peter B. Borwein
Keyword(s):  
Number Theory ◽  
Computational Complexity ◽  
Analytic Number Theory ◽  
Analytic Number

Titchmarsh's theorem of Hankel transform

2019 ◽  
pp. 11-24
Author(s):  
Mohamed-Ahmed Boudref
Keyword(s):  
Number Theory ◽  
Data Analysis ◽  
Partial Differential Equations ◽  
Differential Equations ◽  
Lipschitz Condition ◽  
Analytic Number Theory ◽  
Hankel Transform ◽  
Partial Differential ◽  
Analytic Number ◽  
Bessel Transform

Hankel transform (or Fourier-Bessel transform) is a fundamental tool in many areas of mathematics and engineering, including analysis, partial differential equations, probability, analytic number theory, data analysis, etc. In this article, we prove an analog of Titchmarsh's theorem for the Hankel transform of functions satisfying the Hankel-Lipschitz condition.

Sign in / Sign up

Export Citation Format

Share Document