A note on variants of Euler's φ-function
Küçük Resim Yok
Tarih
2024
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Institute of Mathematics, University of Debrecen
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
It is well-known that the sum of the first n consecutive integers always divides the k-th power sum of the first n consecutive integers when k is odd. Motivated by this result, in this note, we study the divisibility properties of the power sum of positive integers that are coprime to n and not surpassing n. First, we prove a finiteness result for our divisibility sets using smooth numbers in short intervals. Then, we find the exact structure of a certain divisibility set that contains the orders of these power sums and our result is of computational flavour. © 2024 Institute of Mathematics, University of Debrecen. All rights reser
Açıklama
Anahtar Kelimeler
Bernoulli Numbers, Euler’s φ-function, Prime Number Theory
Kaynak
Publicationes Mathematicae Debrecen
WoS Q Değeri
Q3
Scopus Q Değeri
Q3
Cilt
105
Sayı
1-2
Künye
Buyukasik, E., Goral, H., & Sertbas, D. C. (2024). A note on variants of Euler's φ-function.
