On a sequence formed by iterating a divisor operator
Czechoslovak Mathematical Journal, cilt.69, sa.4, ss.1177-1196, 2019 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 69 Sayı: 4
- Basım Tarihi: 2019
- Doi Numarası: 10.21136/cmj.2019.0133-18
- Dergi Adı: Czechoslovak Mathematical Journal
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Sayfa Sayıları: ss.1177-1196
- Anahtar Kelimeler: divisor function, prime number, iterated sequence, internal set theory
- Kırklareli Üniversitesi Adresli: Evet
Özet
Let ℕ be the set of positive integers and let s ∈ ℕ. We denote by ds the arithmetic function given by ds(n) = (d(n))s, where d(n) is the number of positive divisors of n. Moreover, for every l, m ∈ ℕ we denote by δs,l,m (n) the sequence [Equation not available: see fulltext.] We present classical and nonclassical notes on the sequence (δs, l, m(n))m⩾1, where l, n, s are understood as parameters.