Recurrence relations for polynomials obtained by arithmetic functions
2019 ◽
Vol 15
(06)
◽
pp. 1291-1303
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Keyword(s):
Families of polynomials associated to arithmetic functions [Formula: see text] are studied. The case [Formula: see text], the divisor sum, dictates the non-vanishing of the Fourier coefficients of powers of the Dedekind eta function. The polynomials [Formula: see text] are defined by [Formula: see text]-term recurrence relations. For the case that [Formula: see text] is a polynomial of degree [Formula: see text], we prove that at most a [Formula: see text] term recurrence relation is needed. For the special case [Formula: see text], we obtain explicit formulas and results.
2020 ◽
Vol 26
(4)
◽
pp. 164-172
2021 ◽
Vol 14
(1)
◽
pp. 65-81
Keyword(s):
2015 ◽
Vol 58
(4)
◽
pp. 858-868
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2015 ◽
Vol 11
(1)
◽
pp. 73-89