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On some congruences for primality
Jozsef Sandor 장전수학회 2008 Advanced Studies in Contemporary Mathematics Vol.16 No.2
In this paper we consider some congruences on arithmetical functions, sat-ised by the prime numbers. For example, we study the congruencesn (n) 2(mod '(n)),n' (n) 2 (mod (n)),(n)d(n) 2 0 (mod n), where'(n),(n),d(n) denote Euler's totient, Dedekind's function, and the number ofdivisors ofn, respectively. Two duals of the Lehmer congruencen 1 0(mod '(n)) are also introduced.
VARIATIONS ON THE CUSA-HUYGENS INEQUALITY
Jozsef Sandor 장전수학회 2018 Advanced Studies in Contemporary Mathematics Vol.28 No.2
In this paper, the author refines the classical inequalities of the trigonometric functions, such as Jordan's inequality, Cusa-Huygens inequality and Kober's inequality.
ON AN ARITHMETIC INEQUALITY BY K. T. ATANASSOV
Jozsef Sandor,Lehel Kovacs 장전수학회 2010 Proceedings of the Jangjeon mathematical society Vol.13 No.3
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
On the Euler minimum and maximum functions
Jozsef Sandor 장전수학회 2010 Proceedings of the Jangjeon mathematical society Vol.13 No.2
We study properties of two arithmetical functions, represent-ing the Euler minimum and Euler maximum functions.