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HUILAN LI, TRUEMAN MACHENRY, THE CONVOLUTION RING OF ARITHMETIC FUNCTIONS AND SYMMETRIC POLYNOMIALS, The Rocky Mountain Journal of Mathematics, Vol. 43, No. 4 (2013), pp. 1227-1259 ...
KEVIN WOODS, PRESBURGER ARITHMETIC, RATIONAL GENERATING FUNCTIONS, AND QUASI-POLYNOMIALS, The Journal of Symbolic Logic, Vol. 80, No. 2 (JUNE 2015), pp. 433-449 ...
Recent investigations probe the arithmetic properties of these functions, exploring congruence relations and modular behaviour that reveal surprising regularities.
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