398 citations
- Université de LorraineFR874 papers
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7 papers · 2 filters
Computable Absolutely Pisot Normal Numbers
Manfred G. Madritsch, Adrian-Maria Scheerer, Robert F. Tichy
We analyze the convergence order of an algorithm producing the digits of an absolutely normal number. Furthermore, we introduce a stronger concept of absolute normality by allowing…
Multidimensional van der Corput sets and small fractional parts of polynomials
Manfred G. Madritsch, Robert F. Tichy
We establish Diophantine inequalities for the fractional parts of generalized polynomials , in particular for sequences with a non-integral r…
Lois de répartition des diviseurs des entiers friables
Sary Drappeau, Gérald Tenenbaum
According to a general probabilistic principle, the natural divisors of friable integers (i.e.~free of large prime factors) should normally present a Gaussian distribution. We show…
Local Behavior of Arithmetical Functions with Applications to Automorphic L-Functions
Yuk-Kam Lau, Jianya Liu, Jie Wu
We derive a Voronoi-type series approximation for the local weighted mean of an arithmetical function that is associated to Dirichlet series satisfying a functional equation with g…
Quadratic polynomials at prime arguments
Jie Wu, Ping Xi
For a fixed quadratic irreducible polynomial with no fixed prime factors at prime arguments, we prove that there exist infinitely many primes such that has at most 4…
Sign changes of fourier coefficients of modular forms of half integral weight, 2
Yujiao Jiang, Yuk-Kam Lau, Guangshi Lü +2
In this paper, we investigate the sign changes of Fourier coefficients of half-integral weight Hecke eigenforms and give two quantitative results on the number of sign changes.