The Theory of Arithmetic Functions

Proceedings of the Conference at Western Michigan University, April 29 - May 1, 1971
Herausgegeben:Gioia, Anthony A.; Goldsmith, Donald L.

• Broschiertes Buch

Produktbeschreibung

Sieves for theorems of Euler, Rogers, and Ramanujan.- The Vorono¿ummation 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.

Produktdetails

• Lecture Notes in Mathematics 251
• Verlag: Springer / Springer Berlin Heidelberg / Springer, Berlin
• Artikelnr. des Verlages: 978-3-540-05723-9
• 1972
• Seitenzahl: 300
• Erscheinungstermin: 1. Januar 1972
• Englisch
• Abmessung: 235mm x 155mm x 17mm
• Gewicht: 496g
• ISBN-13: 9783540057239
• ISBN-10: 3540057234
• Artikelnr.: 23380527

Inhaltsangabe

Sieves for theorems of Euler, Rogers, and Ramanujan.- The Voronoï 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.