Bookcover of Superabundant Number
Booktitle:

Superabundant Number

Divisor Function, Leonidas Alaoglu, Paul Erdős, Riemann Hypothesis, Harshad Number, Superabundant Number

Phon (2012-01-06 )

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ISBN-13:

978-613-9-15531-6

ISBN-10:
6139155312
EAN:
9786139155316
Book language:
English
Blurb/Shorttext:
Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. In mathematics, a superabundant number (sometimes abbreviated as SA) is a certain kind of natural number. Formally, a natural number n is called superabundant precisely when, for any m > n,frac{sigma(m)}{m} > frac{sigma(n)}{n} where σ denotes the sum-of-divisors function (i.e., the sum of all positive divisors of n, including n itself). The first few superabundant numbers are 1, 2, 4, 6, 12, 24, 36, 48, 60, 120, ... (sequence A004394 in OEIS). Superabundant numbers were defined by Leonidas Alaoglu and Paul Erdős (1944). Unknown to Alaoglu and Erdos, about 30 pages of Ramanujan's 1915 paper "Highly Composite Numbers" were suppressed.
Publishing house:
Phon
Website:
http://www.betascript-publishing.com
Edited by:
Claus Matthias Benedict
Number of pages:
124
Published on:
2012-01-06
Stock:
Available
Category:
Mathematics
Price:
39.00 €
Keywords:
Divisor, function, Leonidas, Alaoglu, Paul, Erdos, Riemann, hypothesis, Harshad, Number, Superabundant

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