SUMS OF MULTIPLICATIVE FUNCTIONS OVER A BEATTY SEQUENCE

SUMS OF MULTIPLICATIVE FUNCTIONS OVER A BEATTY SEQUENCE

We study sums involving multiplicative functions that take values over a nonhomogenous Beatty sequence. We then apply our result in a few special cases to obtain asymptotic formulas for quantities such as the number of integers in a Beatty sequence that are representable as a sum of two squares up t...

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Veröffentlicht in:Bulletin of the Australian Mathematical Society 2008-10, Vol.78 (2), p.327-334
Hauptverfasser: GÜLOĞLU, AHMET M., WESLEY NEVANS, C.
Format: Artikel
Sprache:eng
Schlagworte:
11B83
11E25
Beatty sequences
Sums
sums of multiplicative functions
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Beschreibung
Zusammenfassung:We study sums involving multiplicative functions that take values over a nonhomogenous Beatty sequence. We then apply our result in a few special cases to obtain asymptotic formulas for quantities such as the number of integers in a Beatty sequence that are representable as a sum of two squares up to a given magnitude.
ISSN:0004-9727
1755-1633
DOI:10.1017/S0004972708000853