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ON THE DISTRIBUTION OF A LINEAR SEQUENCE ASSOCIATED TO SUM OF DIVISORS EVALUATED AT POLYNOMIAL ARGUMENTSKeywords: Divisor function , distribution modulo 1 , sieve method Abstract: Following the recent method of extsc{Deshouillers} and the author in the theory of distribution modulo 1, we show that the sequence with general term $b_n=displaystylesum_{mleq n}(m^2+1)/s(m^2+1)$ is dense modulo 1.
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