Sandro Bettin
Published 2017-01-23Version 1
We give a reciprocity formula for a two-variable sum where the variables satisfy a linear congruence condition. We also prove that such sum is a measure of how well a rational is approximable from below and show that the reciprocity formula is a simple consequence of this fact.
Comments: 7 pages, 2 figures, to appear in Rend. Circ. Mat. Palermo, II. Ser
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