DMDávid Matolcsi
Dávid Matolcsi
*This is an algorithmically generated author record based on publicly available information.
Current Organizations / Institutes
The organizations/institutes from the scholar's latest article
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Research Interests
Dávid Matolcsi has a total of 10 co-authors. Here are the top co-authors by number of shared publications:
- Anett Kocsis
ELTE Eötvös Loránd University, Budapest, Hungary
2 shared publications - Csaba Sándor
Department of Stochastics, Institute of Mathemetics, Budapest University of Technology and Economics, Műegyetem rkp. 3, H-1111 Budapest, Hungary; and HUN-REN Alfréd Rényi Institute of Mathematics, Reáltanoda utca 13–15, H-1053 Budapest, Hungary; and MTA–HUN-REN RI Lendület “Momentum” Arithmetic Combinatorics Research Group, Reáltanoda utca 13–15, H-1053 Budapest, Hungary
2 shared publications - Gergely Kiss
Alfréd Rényi Institute of Mathematics, HUN-REN, Budapest, Hungary
2 shared publications - Gábor Somlai
Algebra and Number Theory Department, Etvs Lornd University, Budapest, Hungary
2 shared publications - Máté Matolcsi
HUN-REN Alfréd Rényi Institute of Mathematics, Budapest, Hungary
2 shared publications - Dmitrii Zhelezov
Alfred Rényi Institute of Mathematics, Hungarian Academy of Sciences, Budapest, Hungary
1 shared publication
Latest Publications
- Open Access
- 4 December 2023
- Published by Springer Nature in Sampling Theory, Signal Processing, and Data Analysis
- Vol. 22 (1) , 1-12
Tiling and weak tiling in $(\mathbb {Z}_p)^d$We discuss the relation of tiling, weak tiling and spectral sets in finite abelian groups. In particular, in elementary p-groups $$(\mathbb {Z}_p)^d$$ , we introduce an averaging procedure that leads to a natural object of study: a 4-tuple of functions which can be regarded as a common generalization of tiles and spectral sets. We characterize such 4-tuples for $$d=1, 2$$ , and prove some partial results for $$d=3$$ .- 4 December 2023
- Published by Springer Nature in Sampling Theory, Signal Processing, and Data Analysis
- Vol. 22 (1) , 1-12
Open AccessTiling and weak tiling in $(\mathbb {Z}_p)^d$We discuss the relation of tiling, weak tiling and spectral sets in finite abelian groups. In particular, in elementary p-groups $$(\mathbb {Z}_p)^d$$ , we introduce an averaging procedure that leads to a natural object of study: a 4-tuple of functions which can be regarded as a common generalization of tiles and spectral sets. We characterize such 4-tuples for $$d=1, 2$$ , and prove some partial results for $$d=3$$ . - Open Access
Multiplicative complements II
In this paper we prove that if $A$ and $B$ are infinite subsets of positive integers such that every positive integer $n$ can be written as $n=ab$, $a\in A$, $b\in B$, then $\displaystyle \lim_{x\to \infty}\frac{A(x)B(x)}{x}=\infty $. We also prove many other results about sets like this.Open AccessMultiplicative complements II
In this paper we prove that if $A$ and $B$ are infinite subsets of positive integers such that every positive integer $n$ can be written as $n=ab$, $a\in A$, $b\in B$, then $\displaystyle \lim_{x\to \infty}\frac{A(x)B(x)}{x}=\infty $. We also prove many other results about sets like this. - 1 January 2023
- Published by Institute of Mathematics, Polish Academy of Sciences in Acta Arithmetica
- Vol. 207 (2) , 101-120
Multiplicative complements I
We study how dense a multiplicative basis of order $h$ for $\mathbb Z^+$ can be, improving on earlier results. Upon introducing the notion of a multiplicative complement, we present some tight density bounds.- 1 January 2023
- Published by Institute of Mathematics, Polish Academy of Sciences in Acta Arithmetica
- Vol. 207 (2) , 101-120
Multiplicative complements I
We study how dense a multiplicative basis of order $h$ for $\mathbb Z^+$ can be, improving on earlier results. Upon introducing the notion of a multiplicative complement, we present some tight density bounds.- Open AccessTiling and weak tiling in $(\mathbb{Z}_p)^d$We discuss the relation of tiling, weak tiling and spectral sets in finite abelian groups. In particular, in elementary $p$-groups $(\mathbb{Z}_p)^d$, we introduce an averaging procedure that leads to a natural object of study: a 4-tuple of functions which can be regarded as a common generalization of tiles and spectral sets. We characterize such 4-tuples for $d=1, 2$, and prove some partial results for $d=3$.Open AccessTiling and weak tiling in $(\mathbb{Z}_p)^d$We discuss the relation of tiling, weak tiling and spectral sets in finite abelian groups. In particular, in elementary $p$-groups $(\mathbb{Z}_p)^d$, we introduce an averaging procedure that leads to a natural object of study: a 4-tuple of functions which can be regarded as a common generalization of tiles and spectral sets. We characterize such 4-tuples for $d=1, 2$, and prove some partial results for $d=3$.
- 14 January 2022
- Published by Springer Nature in Combinatorica
- Vol. 42 (2) , 203-236
An Analytic Approach to Cardinalities of Sumsets
- 14 January 2022
- Published by Springer Nature in Combinatorica
- Vol. 42 (2) , 203-236
An Analytic Approach to Cardinalities of Sumsets