2019•arXiv (Cornell University)Open access

Harmonic Analysis on the Positive Rationals. Computation of Character\n Sums

P. D. T. A. Elliott, Jonathan Kish

Abstract

The authors review results implicit in their recent paper [2] on the\nproduct/quotient representation of rationals by rationals of the type $( an + b\n)/ ( An+ B )$ and give a detailed account of a particular related non-intuitive\nsimultaneous ( i.e. two dimensional ) representation of pairs of rationals.\n

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Key concepts: Rational number, Representation (politics), Character (mathematics), Computation, Quotient, Mathematics, Product (mathematics), Algebra over a field