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20232026
most citedThe extremal values of the ratio of differences of power mean, arithmetic mean, and geometric mean

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math.NT2023

On integer linear combinations of terms of rational cycles for the generalized 3x+1 problem

Yagub N. Aliyev

In the paper, some special linear combinations of the terms of rational cycles of generalized Collatz sequences are studied. It is proved that if the coefficients of the linear com…