APPLICATION OF LIMIT THEOREM TO SUM OF LEGENDRE SYMBOLS.

In this work, we make an extension of earlier results provided by Kubilus and Linnik who modelled specific class of Brownian motions using the sums [1], where p is the sequence of odd square free numbers. Our results are relevant and can be used in a range of applications, especially when applying Monte-Carlo methods in finance and econometrics. [ABSTRACT FROM AUTHOR]