The Theory of Arithmetic Functions
Proceedings of the Conference at Western Michigan University, April 29 - May 1, 1971
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ISBN-13:
9783540057239
Veröffentl:
1972
Einband:
Paperback
Erscheinungsdatum:
01.01.1972
Seiten:
300
Autor:
Donald L. Goldsmith
Gewicht:
458 g
Format:
235x155x17 mm
Serie:
251, Lecture Notes in Mathematics
Sprache:
Englisch
Beschreibung:
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.
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.
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