Some Properties of Extended Euler’s Function and Extended Dedekind’s Function

Nicuşor Minculete and Diana Savin
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Nicuşor Minculete: Faculty of Mathematics and Computer Science, Transilvania University of Braşov, Iuliu Maniu Street 50, 500091 Braşov, Romania
Diana Savin: Faculty of Mathematics and Computer Science, Ovidius University, Bd. Mamaia 124, 900527 Constanţa, Romania

Mathematics, 2020, vol. 8, issue 8, 1-9

Abstract: In this paper, we find some properties of Euler’s function and Dedekind’s function. We also generalize these results, from an algebraic point of view, for extended Euler’s function and extended Dedekind’s function, in algebraic number fields. Additionally, some known inequalities involving Euler’s function and Dedekind’s function, we generalize them for extended Euler’s function and extended Dedekind’s function, working in a ring of integers of algebraic number fields.

Keywords: arithmetic functions; algebraic number fields; Dedekind rings (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2020
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