In this thesis we consider multiplicative properties of integers in short intervalsusing techniques involving exponential sums, sieve methods and a wide variety of other principles from analytic number theory. The existence of products of three pairwise coprime integers are inve…
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In the present paper, we identify several distributions from Physics and study their applicability to phenomena such as distribution of income, wealth, and expenditure. Firstly, we apply logistic distribution to these data and we find that it fits very well the annual data for t…