Abundancy “outlaws” of the form .

Stanton, William G.; Holdener, Judy A.

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Displaying similar documents to “Abundancy “outlaws” of the form $\frac{(σ (N) + t)}{N}$ .”

On the radical of a perfect number.

Luca, Florian, Pomerance, Carl (2010)

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A Sierpiński-Zygmund function which has a perfect road at each point

Udayan Darji (1993)

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Perfect transversal in some graph products.

Olaru, Elefterie, Mandrescu, Eugen, Ion, Cristian, Anastasoaei, Vasile (2005)

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On near-perfect numbers

Min Tang, Xiaoyan Ma, Min Feng (2016)

Colloquium Mathematicae

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For a positive integer n, let σ(n) denote the sum of the positive divisors of n. We call n a near-perfect number if σ(n) = 2n + d where d is a proper divisor of n. We show that the only odd near-perfect number with four distinct prime divisors is 3⁴·7²·11²·19².

On near-perfect and deficient-perfect numbers

Min Tang, Xiao-Zhi Ren, Meng Li (2013)

Colloquium Mathematicae

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For a positive integer n, let σ(n) denote the sum of the positive divisors of n. Let d be a proper divisor of n. We call n a near-perfect number if σ(n) = 2n + d, and a deficient-perfect number if σ(n) = 2n - d. We show that there is no odd near-perfect number with three distinct prime divisors and determine all deficient-perfect numbers with at most two distinct prime factors.

On the distribution of some integers related to perfect and amicable numbers

Paul Pollack, Carl Pomerance (2013)

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On a sum of divisors problem.

De Koninck, Jean-Marie, Ivić, Aleksandar (1998)

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Thirty-nine perfect numbers and their divisors.

Asadulla, Syed (1986)

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Odd perfect polynomials over $𝔽_{2}$

Luis H. Gallardo, Olivier Rahavandrainy (2007)

Journal de Théorie des Nombres de Bordeaux

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A perfect polynomial over $𝔽_{2}$ is a polynomial $A \in 𝔽_{2} [x]$ that equals the sum of all its divisors. If $gcd (A, x^{2} + x) = 1$ then we say that $A$ is odd. In this paper we show the non-existence of odd perfect polynomials with either three prime divisors or with at most nine prime divisors provided that all exponents are equal to $2 .$

Sylvester: ushering in the modern era of research on odd perfect numbers.

Gimbel, Steven, Jaroma, John H. (2003)

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An analogue in certain unique factorization domains of the Euclid-Euler theorem on perfect numbers.

McDaniel, Wayne L. (1990)

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Generalized perfect numbers.

Bege, Antal, Fogarasi, Kinga (2009)

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Convergences in Perfect BL-algebras.

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Displaying similar documents to “Abundancy “outlaws” of the form ( σ ( N ) + t ) N .”

Displaying similar documents to “Abundancy “outlaws” of the form $\frac{(σ (N) + t)}{N}$ .”