J. Thuswaldner

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20182021

most citedTopology of planar self-affine tiles with collinear digit set

1 citations · 1 across the 2 of their papers we have counts for

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math.NT2021

Weyl sums over integers with digital restrictions

Igor E. Shparlinski, Jörg M. Thuswaldner

We estimate Weyl sums over the integers with sum of binary digits either fixed or restricted by some congruence condition. In our proofs we use ideas that go back to a paper by Ban…

math.NT2021

A number system with base $- \frac{3}{2}$

Lucía Rossi, Jörg M. Thuswaldner

In the present paper we explore a way to represent numbers with respect to the base $- \frac{3}{2}$ using the set of digits ${0, 1, 2}$ . Although this number system shares several prope…

math.NT2019

The level of distribution of the sum-of-digits function of linear recurrence number systems

Manfred G. Madritsch, Jörg M. Thuswaldner

Let $G = (G_{j})_{j \geq 0}$ be a strictly increasing linear recurrent sequence of integers with $G_{0} = 1$ having characteristic polynomial $X^{d} - a_{1} X^{d - 1} - \dots - a_{d - 1} X - a_{d}$ . It is we…

math.NT2019

$S$ -adic sequences. A bridge between dynamics, arithmetic, and geometry

Jörg M. Thuswaldner

A Sturmian sequence is an infinite nonperiodic string over two letters with minimal subword complexity. In two papers, the first written by Morse and Hedlund in 1940 and the second…

Weyl sums over integers with digital restrictions

A number system with base −23​

The level of distribution of the sum-of-digits function of linear recurrence number systems

S-adic sequences. A bridge between dynamics, arithmetic, and geometry

A number system with base $- \frac{3}{2}$

$S$ -adic sequences. A bridge between dynamics, arithmetic, and geometry