331 citations
- Frankfurt Institute for Advanced StudiesDE24 papers
- Goethe University FrankfurtDE19 papers
- Center for Astrophysics Harvard & SmithsonianUS14 papers
- University of VirginiaUS10 papers
- Norwegian University of Science and TechnologyNO8 papers
- Friedrich Schiller University JenaDE7 papers
- Thomas Jefferson National Accelerator FacilityUS7 papers
- Argonne National LaboratoryUS6 papers
- Chinese Academy of SciencesCN6 papers
- Florida International UniversityUS6 papers
- George Washington UniversityUS6 papers
- Hampton UniversityUS6 papers
8 papers · 1 filter
The Maximum Size of -Sum-Free Sets in Cyclic Groups
Béla Bajnok, Ryan Matzke
A subset of a finite abelian group is called -sum-free if the sum of (not-necessarily-distinct) elements of never equals the sum of (not-necessarily-dist…
Additive Combinatorics: A Menu of Research Problems
Bela Bajnok
This text contains over three hundred specific open questions on various topics in additive combinatorics, each placed in context by reviewing all relevant results. While the prima…
On Asymptotic Approximate Groups of Integers
Bela Bajnok
Let be a positive integer, and let be a nonempty finite set of at least two integers. We let denote the {\em asymptotic -covering number} of , that i…
Characterizations of Mersenne and 2-rooted primes
Sunil K. Chebolu, Keir Lockridge, Gaywalee Yamskulna
We give several characterizations of Mersenne primes (Theorem 1.1) and of primes for which 2 is a primitive root (Theorem 1.2). These characterizations involve group algebras, circ…
On the minimum size of restricted sumsets in cyclic groups
Béla Bajnok
For positive integers , , and , we let denote the minimum size of the -fold restricted sumset among all -subsets of the cyclic group…
Pointless Hyperelliptic Curves
Ryan Becker, Darren Glass
In this paper we consider the question of whether there exists a hyperelliptic curve of genus which is defined over $\FF_q$ but has no rational points over $\FF_q$ for various…