Copy For Citation
Goral H., Sertbas D. C.
BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY, vol.58, no.6, pp.1463-1481, 2021 (SCI-Expanded)
-
Publication Type:
Article / Article
-
Volume:
58
Issue:
6
-
Publication Date:
2021
-
Doi Number:
10.4134/bkms.b201045
-
Journal Name:
BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY
-
Journal Indexes:
Science Citation Index Expanded (SCI-EXPANDED), Scopus, MathSciNet, zbMATH
-
Page Numbers:
pp.1463-1481
-
Keywords:
 , Harmonic numbers, Bernoulli numbers, regular primes, class number, IRREGULAR PRIMES, CYCLOTOMIC INVARIANTS
-
Çukurova University Affiliated:
No
Abstract
Divisibility properties of harmonic numbers by a prime number p have been a recurrent topic. However, finding the exact p-adic orders of them is not easy. Using class numbers of number fields and Bernoulli numbers, we compute the exact p-adic orders of harmonic type sums. Moreover, we obtain an asymptotic formula for generalized harmonic numbers whose p-adic orders are exactly one.