MATEC Web Conf.
Volume 355, 20222021 International Conference on Physics, Computing and Mathematical (ICPCM2021)
|Number of page(s)||6|
|Section||Mathematical Science and Application|
|Published online||12 January 2022|
Several generalizations on Wolstenholme Theorem
Department of electronic and information engineering, Bozhou University 236800, China
* Corresponding author: firstname.lastname@example.org
This paper generalizes Wolstenholme theorem on two aspects. The first generalization is a parameterized form: let p > k + 2, k ≥ 1, ∀t ∈ ℤ, then
The second generalization is on composite number module:
Let 1overa be the x in congruent equation ax ≡ 1(mod m)(1 ≤ x < m),
if m ≥ 5, then
Where φ(x) is Euler function , μ(x) is Möbius function.
Key words: Wolstenholme theorem / Congruent / Composite number module / Möbius transform
© The Authors, published by EDP Sciences, 2022
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