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Sign changes of certain arithmetical function at prime powers
- Source :
- Czechoslovak Mathematical Journal. 71:1221-1228
- Publication Year :
- 2021
- Publisher :
- Institute of Mathematics, Czech Academy of Sciences, 2021.
-
Abstract
- We examine an arithmetical function defined by recursion relations on the sequence {f(pk)}kââ and obtain sufficient condition(s) for the sequence to change sign infinitely often. As an application we give criteria for infinitely many sign changes of Chebyshev polynomials and that of sequence formed by the Fourier coefficients of a cusp form.
Details
- Volume :
- 71
- Database :
- OpenAIRE
- Journal :
- Czechoslovak Mathematical Journal
- Accession number :
- edsair.doi...........28c72d4df12d2f361dd1f26f3737850d