6 papers
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, an…
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…
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…
Effective ErdÅs--Wintner for Cantor numeration systems via a trailing-window method
Johann Verwee
We prove explicit ErdÅs--Wintner bounds for Cantor numeration systems via a simple trailing-window decomposition. We temporarily discard the last block of digits (the ``window'')…
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…