Menonʼs identity in residually finite Dedekind domains

Miguel, C.

doi:10.1016/j.jnt.2013.11.003

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Cited by 20 publications

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“…In [3], Miguel defined the extended Euler totient function type for a non-zero ideal of a Dedekind domain, because the factorization of ideals is unique. He extended Menon's identity to residually finite Dedekind domains (rings of finite norm property).…”

Section: Introductionmentioning

confidence: 99%

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

Minculete

Savin

2020

Mathematics

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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.

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Section: Introductionmentioning

confidence: 99%