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Some properties of restricted divisor functions ii
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We de ned the linear abundant; linear perfect and linear deficient in [4]. Then, we nd some properties about them, and the results of this paper is an extension of [4]. In particular, 6 is the only linear perfect number.
Abstract
We de ned the linear abundant; linear perfect and linear deficient in [4]. Then, we nd some properties about them, and the results of this paper is an extension of [4]. In particular, 6 is the only linear perfect number.
참고문헌 (9)
- P. Hagis, Jr, "Outline of a Proof That Every Odd Perfect Number has at least 8 Prime Factors", Math. Comp, 35, pp.1027~1032 (1980)
- R. P. Jerrard, "Almost Perfect Numbers", Math. Mag., 46, pp.84~87 (1973)
- K. Lee, "Some Properties of Divisor Functions and Their Applications", Doctoral, pp.2017
- K. Lee, "Some Properties of Restricted Divisor Functions", FJMS, 102(10), pp.2379~2391 (2017)
- C. Pomerance, "Odd Perfect Numbers are Divisible by at least Seven Distinct Primes", Acta Arith., 25, pp.265~300 (1974)
- C. Pomerance, "Multiply Perfect Numbers, Mersenne Primes, and Effective Com-putability", Math. Ann., 226, pp.195~206 (1977)
- P. Starni, "Odd Perfect Numbers: A Divisor Related to the Euler's Factor", J. Number Theory, 44, pp.58~59 (1993)
- P. Starni, "On Some Properties of the Euler's Factor of Certain Odd Perfect Numbers", J. Number Theory, 116, pp.483~486 (2006)
- K. S. Williams, "Number Theory in the Spirit of Liouville" (2011), London Mathematical Society
관련 논문AI추천
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