Atıf İçin Kopyala
Goral H., Sertbas D. C.
BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY, cilt.58, sa.6, ss.1463-1481, 2021 (SCI-Expanded)
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Yayın Türü:
Makale / Tam Makale
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Cilt numarası:
58
Sayı:
6
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Basım Tarihi:
2021
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Doi Numarası:
10.4134/bkms.b201045
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Dergi Adı:
BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY
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Derginin Tarandığı İndeksler:
Science Citation Index Expanded (SCI-EXPANDED), Scopus, MathSciNet, zbMATH
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Sayfa Sayıları:
ss.1463-1481
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Anahtar Kelimeler:
 , Harmonic numbers, Bernoulli numbers, regular primes, class number, IRREGULAR PRIMES, CYCLOTOMIC INVARIANTS
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Çukurova Üniversitesi Adresli:
Hayır
Özet
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.