Combinatorial Number Theory
Description
This volume consists of twenty articles stemming from presentations given at the 2023 Integers Conference . They represent a variety of active areas of research in combinatorial number theory, including additive number theory, multiplicative number theory, elementary number theory, the theory of partitions, Ramsey theory, sequences, algebraic combinatorics, enumerative combinatorics, and Diophantine equations.
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Persons
B. Landman , USA; F. Luca , South Africa; M. Nathanson , USA; J. Nesetril , USA; A. Robertson , USA.
Content
- Intro
- Preface: Proceedings of the Integers Conference 2023
- Contents
- Computations and observations on congruence covering systems
- Balanced N-color compositions
- Computing four-term arithmetic progressions of powerful numbers
- Combinatorial identities for vacillating tableaux
- Odd vector cycles in Z⊃&m&/sup&
- Powered numbers in short intervals
- Schreier multisets and the s-step Fibonacci sequences
- Tabulating absolute Lucas pseudoprimes
- Henrik Eriksson's Bulgarian Solitaire variant
- On a generalization of a theorem of Ibukiyama to evaluate three imprimitive character sums
- Composition-theoretic series and false theta functions
- On the constants in Mertens' theorems for primes in arithmetic progressions
- Dot product chains
- Permutation patterns of the iterated Syracuse function
- An upper bound on the inhomogeneous approximation constants
- On the minimum number of monochromatic 2-dimensional Schur triples
- The Scholz conjecture on addition chains is true for infinitely many integers with l(2n) = l(n)
- Digital problems in the theory of partitions
- A combinatorial proof of a partition perimeter inequality
