On the number of necklaces whose co-periods divide a given integer

Using Ramanujan sums, which generalize the Möbius function and the Euler totient function, we enumerate q -ary (fixed) necklaces over the color set { a 1 , … , a q } with n i beads of color a i for i = 1 , … , q and co-periods dividing a fixed non-negative integer v . (The co-period of a necklace is...

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Veröffentlicht in:	The Ramanujan journal 2023-08, Vol.61 (4), p.1021-1035
1. Verfasser:	Hadjicostas, Petros
Format:	Artikel
Sprache:	eng
Schlagworte:	Color Combinatorics Field Theory and Polynomials Fourier Analysis Functions of a Complex Variable Infinite series Integers Mathematics Mathematics and Statistics Number Theory
Online-Zugang:	Volltext
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