Abstract
We investigate the behavior of the sum of the irrational factor function over arithmetic progressions. We first establish a general asymptotic formula for such a sum, and then obtain some further results in the case of arithmetic progressions 3n±1.
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CHAUBEY, S., LANIUS, M. & ZAHARESCU, A. Irrational factor races. Proc Math Sci 124, 471–479 (2014). https://doi.org/10.1007/s12044-014-0198-z
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DOI: https://doi.org/10.1007/s12044-014-0198-z