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Autor:
Akande, Agbolade Patrick
In 1969, Delange has proved a general criterion for uniform distribution of additive functions. In this paper, we study the uniform distribution of a special class of polynomially-defined additive functions where the moduli is allowed to vary. This p
Externí odkaz:
http://arxiv.org/abs/2401.04199
Autor:
Akande, Agbolade Patrick
Paul Erdos and Carl Pomerance have proofs on an asymptotic upper bound on the number of preimages of Euler's totient function $\phi$ and the sum-of-divisors functions $\sigma$. In this paper, we will extend the upper bound to the number of preimages
Externí odkaz:
http://arxiv.org/abs/2401.04073