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Displaying 161 – 180 of 214

On the limit distribution of the well-distribution measure of random binary sequences

Christoph Aistleitner (2013)

Journal de Théorie des Nombres de Bordeaux

We prove the existence of a limit distribution of the normalized well-distribution measure $W (E_{N}) / \sqrt{N}$ (as $N \to \infty$ ) for random binary sequences $E_{N}$ , by this means solving a problem posed by Alon, Kohayakawa, Mauduit, Moreira and Rödl.

On the limiting distribution of f(p + 1) for non-negative additive functions

P. Elliott (1974)

Acta Arithmetica

On the limiting distribution of non negative additive functions

H. Daboussi (1981)

Compositio Mathematica

On the local behaviour of some arithmetical functions

R. Hall, G. Tenenbaum (1984)

Acta Arithmetica

On the magnitude of asymptotic probability measures of Dedekind zeta-functions and other Euler products

Kohji Matsumoto (1991)

Acta Arithmetica

On the maximal run-length function in the Lüroth expansion

Yu Sun, Jian Xu (2018)

Czechoslovak Mathematical Journal

We obtain a metrical property on the asymptotic behaviour of the maximal run-length function in the Lüroth expansion. We also determine the Hausdorff dimension of a class of exceptional sets of points whose maximal run-length function has sub-linear growth rate.