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

Author

Listed:
  • 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)

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.

Suggested Citation

  • Nicuşor Minculete & Diana Savin, 2020. "Some Properties of Extended Euler’s Function and Extended Dedekind’s Function," Mathematics, MDPI, vol. 8(8), pages 1-9, July.
    • Handle: RePEc:gam:jmathe:v:8:y:2020:i:8:p:1222-:d:389692
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