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  JP Journal of Algebra, Number Theory and Applications  
 ISSN: 0972-5555
 
 
 

     JP Journal of Algebra, Number Theory and Applications
    Volume 15, Issue 2, Pages 163 - 170 (December 2009)


BINOMIAL DENSITIES RELATED TO ABELIAN-TAUBERIAN THEOREMS

N. Daili (Algeria)

Received July 6, 2009

References:



[1] N. Daili, Asymptotic densities in number theory. Part I: A survey, JP J. Algebra Number Theory Appl. 5(3) (2005), 513-533.

[2] N. Daili, Asymptotic densities in number theory. Part II: Asymptotic densities of arithmetic functions, JP J. Algebra Number Theory Appl. 6(2) (2006), 335-360.

[3] N. Daili, Abelian-tauberian theorems connected with densities, JP J. Algebra Number Theory Appl. 11(1) (2008), 99-112.

[4] N. Daili, Binomial densities in number theory, J. Algebra Discrete Struct. 6(3) (2008), 135-143.

[5] N. Daili, Borelian densities in number theory, Preprint, 2009.

[6] P. Diaconis and Ch. Stein, Some tauberian theorems related to coin tossing, Ann. Probab. 6(3) (1978), 483-490.

[7] W. Feller, An Introduction to Probability Theory and its Applications, Vol. II, John Wiley & Sons, Inc., New York, 1966.

[8] W. Feller, An Introduction to Probability Theory and its Applications, Vol. I, Third Edition, John Wiley & Sons, Inc., New York, 1968.

[9] A. Peyerimhoff, Lectures on summability, Lecture Notes in Mathematics 107, Springer, New York, 2007.

Keywords and phrases: binomial density, abelian-tauberian theorems, number theory.

 


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