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 |
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| container_title | Bulletin of the Australian Mathematical Society |
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| creator | GÜLOĞLU, AHMET M. WESLEY NEVANS, C. |
| description | 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. |
| doi_str_mv | 10.1017/S0004972708000853 |
| format | Article |
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| identifier | ISSN: 0004-9727 |
| ispartof | Bulletin of the Australian Mathematical Society, 2008-10, Vol.78 (2), p.327-334 |
| issn | 0004-9727 1755-1633 |
| language | eng |
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| source | Elektronische Zeitschriftenbibliothek - Frei zugängliche E-Journals; Cambridge University Press Journals Complete |
| subjects | 11B83 11E25 Beatty sequences Sums sums of multiplicative functions |
| title | SUMS OF MULTIPLICATIVE FUNCTIONS OVER A BEATTY SEQUENCE |
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