Some Results on Harmonic Type Sums
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Tarih
2020
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Erişim Hakkı
info:eu-repo/semantics/openAccess
Özet
In this study, we consider the summatory function of convolutions of the Möbius function with harmonic numbers,and we show that these summatory functions are linked to the distribution of prime numbers. In particular, we giveinfinitely many asymptotics which are consequences of the Riemann hypothesis. We also give quantitativeestimate for the moment function which counts non-integer hyperharmonic numbers. Then, we obtain theasymptotic behaviour of hyperharmonics.
Açıklama
Anahtar Kelimeler
Kaynak
Düzce Üniversitesi Bilim ve Teknoloji Dergisi
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Cilt
8
Sayı
1
