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- W2974162727 abstract "Partitions of the set of primes are introduced based on the Chebyshev polynomials at rationals. The prime densities of all such partitions are established. Euler's Criterion for $SL(2,mathbb Q)$ is formulated, which is the bridge between the algebra of Chebyshev polynomials and number-theoretic properties of the partitions. It is shown how to obtain in this way some of the classical theory of Lucas sequences. A hidden symmetry of the problem is revealed by the new language. As an application number-theoretic properties of simple dynamical systems (rotations and certain interval maps) are discussed." @default.
- W2974162727 created "2019-09-26" @default.
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- W2974162727 date "2018-06-25" @default.
- W2974162727 modified "2023-09-27" @default.
- W2974162727 title "Partitions of primes by Chebyshev polynomials" @default.
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