A Menon-type identity with Dirichlet characters in residually finite Dedekind domains

2021 ◽  
Author(s):  
Man Chen ◽  
Zhiyong Zheng
Keyword(s):  
Residually Finite ◽  
Type Identity ◽  
Dirichlet Characters ◽  
Dedekind Domains

A regular Menon-type identity in residually finite Dedekind domains

2019 ◽  
Vol 188 (2) ◽  
pp. 111-123 ◽  
Author(s):  
Yu-Jie Wang ◽  
Xin Zhang ◽  
Chun-Gang Ji
Keyword(s):  
Residually Finite ◽  
Type Identity ◽  
Dedekind Domains

IDEAL CHAINS IN RESIDUALLY FINITE DEDEKIND DOMAINS

2018 ◽  
Vol 99 (1) ◽  
pp. 56-67 ◽  
Author(s):  
YU-JIE WANG ◽  
YI-JING HU ◽  
CHUN-GANG JI
Keyword(s):  
Dedekind Domain ◽  
Nonzero Ideal ◽  
Counting Problems ◽  
Residually Finite ◽  
Dedekind Domains ◽  
The Ideal

Let $\mathfrak{D}$ be a residually finite Dedekind domain and let $\mathfrak{n}$ be a nonzero ideal of $\mathfrak{D}$. We consider counting problems for the ideal chains in $\mathfrak{D}/\mathfrak{n}$. By using the Cauchy–Frobenius–Burnside lemma, we also obtain some further extensions of Menon’s identity.

scholarly journals A Menon-type identity concerning Dirichlet characters and a generalization of the gcd function

2021 ◽  
Vol 131 (2) ◽  
Author(s):  
Arya Chandran ◽  
K Vishnu Namboothiri ◽  
Neha Elizabeth Thomas
Keyword(s):  
Type Identity ◽  
Dirichlet Characters

scholarly journals Dynamics of the a-map over residually finite Dedekind domains and applications

2019 ◽  
Vol 204 ◽  
pp. 134-154
Author(s):  
Claudio Qureshi ◽  
Lucas Reis
Keyword(s):  
Residually Finite ◽  
Dedekind Domains
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