SUMS OF MULTIPLICATIVE FUNCTIONS OVER A BEATTY SEQUENCE

AHMET M. GÜLOĞLU, C. WESLEY NEVANS
2008 Bulletin of the Australian Mathematical Society  
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. 2000 Mathematics subject classification: 11E25, 11B83.
doi:10.1017/s0004972708000853 fatcat:wq3n3kjnsrfm5p2ulvsdvzmlyi