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HARMONIC ANALYSIS ON THE POSITIVE RATIONALS. DETERMINATION OF THE GROUP GENERATED BY THE RATIOS ( a n + b ) / ( A n + B )
Author(s) -
Elliott P. D. T. A.,
Kish Jonathan
Publication year - 2017
Publication title -
mathematika
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.955
H-Index - 29
eISSN - 2041-7942
pISSN - 0025-5793
DOI - 10.1112/s0025579317000304
Subject(s) - rational number , mathematics , conjecture , multiplicative function , group (periodic table) , sequence (biology) , harmonic , combinatorics , pure mathematics , mathematical analysis , chemistry , physics , organic chemistry , biochemistry , quantum mechanics
The multiplicative group generated by a certain sequence of rationals is determined, settling a 30‐year conjecture.