Riemann Integrals of Powers of Metallic Ratios

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R. Sivaraman


Metallic ratios are important class of numbers in mathematics which were discussed extensively right from ancient times. In this paper, treating the expression for kth metallic ratio as a continuous function, I had found new results for determining Riemann integrals of such functions over compact intervals of the form [0, n] for any natural number n.

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