논문KCI 등재
ON AN ARITHMETIC INEQUALITY BY K. T. ATANASSOV
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Let d(n) denote the number of distinct divisors of n, and denote by Ψ(n) the Dedekind arithmetical function. We offer improvements and generalizations of Atanassov's inequality (see [1]) Ψ(n) ≥ d(n) ·√n
Abstract
Let d(n) denote the number of distinct divisors of n, and denote by Ψ(n) the Dedekind arithmetical function. We offer improvements and generalizations of Atanassov's inequality (see [1]) Ψ(n) ≥ d(n) ·√n
참고문헌 (7)
- K. T. Atanassov, "A modification of Sivaramakrishnan-Venkataraman's in-equality", Notes Numb. Theory Discr. Math., 3(2), pp.102~203 (1997)
- R. P. Sahu, "An inequality for Dedekind's Ãk(n) function", Math. Educ., 19, pp.59~60 (1985)
- J. Sandor, "On Dedekind's arithmetical function, Seminarul de t. struc-turilor", pp.1988
- J. Sandor, "An application of the Jensen-Hadamard inequality", Nieuw Arch. Wiskunde., Serie 4, 8(1), pp.63~66 (1990)
- J. Sandor, "Handbook of number theory I" (2006), Springer Verlag
- J. Sandor, "A note on the arithmetical functions d(n) and σ(n)", Octogon Math. Mag., 16(1), pp.270~274 (2008)
- R. Sivaramakrishnan, "Problem 5326", Amer. Math. Monthly, 72, pp.915~ (1965)
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