Additive Number Theory and the Ring of Quantum Integers
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Publication:5504205
DOI10.1007/11889342_28zbMath1158.11303OpenAlexW2087090204MaRDI QIDQ5504205
Publication date: 22 January 2009
Published in: Lecture Notes in Computer Science (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/11889342_28
Binomial coefficients; factorials; (q)-identities (11B65) Elementary theory of partitions (11P81) Additive bases, including sumsets (11B13)
Related Items (15)
On symmetries of roots of rational functions and the classification of rational function solutions of functional equations arising from multiplication of quantum integers with prime semigroup supports ⋮ Improving the Erdős-Ginzburg-Ziv theorem for some non-Abelian groups. ⋮ A note on an inverse problem for lattice points ⋮ Interplay between four conjectures on certain zero-sum problems. ⋮ Quadratic addition rules for quantum integers ⋮ Quasi-periodic decompositions and the Kemperman structure theorem ⋮ HEIGHTS ON THE FINITE PROJECTIVE LINE ⋮ A complete characterization of the existence of rational functional solutions with infinite support bases ⋮ The digit generating function of a polynomial ⋮ PROBLEMS IN ADDITIVE NUMBER THEORY, IV: NETS IN GROUPS AND SHORTEST LENGTH g-ADIC REPRESENTATIONS ⋮ Restricted sumsets in a finite abelian group ⋮ SEMIDIRECT PRODUCTS AND FUNCTIONAL EQUATIONS FOR QUANTUM MULTIPLICATION ⋮ An extension of the Erdős-Ginzburg-Ziv theorem to hypergraphs ⋮ A compactness argument in the additive theory and the polynomial method. ⋮ Cofinite subsets of asymptotic bases for the positive integers
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