The theory of arithmetic functions : proceedings of the conference at Western Michigan University, April 29 - May 1, 1971

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The theory of arithmetic functions : proceedings of the conference at Western Michigan University, April 29 - May 1, 1971

edited by Anthony A. Gioia and Donald L. Goldsmith

(Lecture notes in mathematics, 251)

Springer-Verlag, 1972

  • : Germany
  • : U.S.

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Includes bibliographies

Description and Table of Contents

Table of Contents

Sieves for theorems of Euler, Rogers, and Ramanujan.- The Voronoi summation formula.- The arithmetic functions of the Jacobi-Perron Algorithm.- Eulerian numbers and operators.- Some functions related to Fibonacci and lucas representations.- On the classification and evaluation of some partition functions and their tables.- Two oscillation theorems.- On the iterates of some arithmetic functions.- Distribution of additive and multiplicative functions.- Oscillation theorems.- Curves with abnormally many integral points.- On certain arithmetical sums.- The use of measure theoretic methods in the study of additive arithmetic functions.- Generalized arithmetic function algebras.- On some arithmetic convolutions.- The number of bi-unitary divisors of an integer.- Density bounds for the sum of divisors function.

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