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Fungrim entry: 62f7d5

#Gq=φ(q)\# G_{q} = \varphi(q)
Assumptions:q∈Z≥1q \in \mathbb{Z}_{\ge 1}
TeX:
\# G_{q} = \varphi(q)

q \in \mathbb{Z}_{\ge 1}
Definitions:
Fungrim symbol Notation Short description
Cardinality#S\# S Set cardinality
DirichletGroupGqG_{q} Dirichlet characters with given modulus
Totientφ(n)\varphi(n) Euler totient function
ZZGreaterEqualZ≥n\mathbb{Z}_{\ge n} Integers greater than or equal to n
Source code for this entry:
Entry(ID("62f7d5"),
    Formula(Equal(Cardinality(DirichletGroup(q)), Totient(q))),
    Variables(q),
    Assumptions(Element(q, ZZGreaterEqual(1))))

Topics using this entry

Copyright (C) Fredrik Johansson and contributors. Fungrim is provided under the MIT license. The source code is on GitHub.

2021-03-15 19:12:00.328586 UTC