1 citations · 1 across the 8 of their papers we have counts for
10 papers
Terminal Blocks of Primes in Pisot Numeration Systems
Sungkon Chang, Johann Verwee
We prove a prime number theorem for fixed terminal block words in Pisot integer numeration systems. If the dominant root is a Pisot number and the characteristic polynomial $P_…
An Erdős-Wintner theorem for second-order linear recurrent bases
Johann Verwee
Let be integers with , and let \[ G_0=1,\qquad G_1=a+1,\qquad G_{n+2}=aG_{n+1}+bG_n. \] For real-valued functions which are additive in the greedy -digits, we…
Linear truncation for conditioned prime-factor fibres
Johann Verwee
In previous joint work with Tenenbaum, the truncation step in the conditional effective Erdos-Wintner theorem on the fibre yields, in the continuous case f…
Short intervals for the Romanoff-type sumset
Yuchen Ding, Johann Verwee
Let be large and let denote the set of primes. Fix positive real parameters and a parameter determined by a balancing relation, and…
A semigroup approach to iterated binomial transforms
Johann Verwee
We study a one-parameter family of binomial-convolution operators acting on sequences. These operators form an additive semigroup with an explicit inverse, and they subsume iterate…
Erdős-Wintner theorem for linear recurrent bases
Johann Verwee
Let be a linear recurrence sequence defining a numeration system and satisfying mild structural hypotheses. For real-valued G-additive functions (additive in…
Improvement of effective Erdos-Wintner theorem for Zeckendorf expansions
Johann Verwee
We revisit the effective Erdos-Wintner theorem for Zeckendorf expansions. Drmota and the author obtained a uniform Kolmogorov bound whose error involves , w…
Effective Erdős--Wintner for Cantor numeration systems via a trailing-window method
Johann Verwee
We prove explicit Erdős--Wintner bounds for Cantor numeration systems via a simple trailing-window decomposition. We temporarily discard the last block of digits (the ``window'') a…
Effective Erdős-Wintner theorems for digital expansions
Michael Drmota, Johann Verwee
In 1972 Delange observed in analogy of the classical Erd\H os-Wintner theorem that -additive functions has a distribution function if and only if the two series $\sum f(d…
Effective Erd\H os--Wintner theorems
Gérald Tenenbaum, Johann Verwee
The classical theorem of Erd\H os \& Wintner furnishes a criterion for the existence of a limiting distribution for a real, additive arithmetical function. This work is devoted to…