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Showing 1 to 4 of 4 for “"Combinatorial number theory."”.
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Topics in Combinatorial Number Theory
In this dissertation we present a number of new results in combinatorial number theory. Chapter I discusses a generalization of B(,2)-sequences which are used in Chapter II and Chapter III to obtain short interval results about k-free values of irreducible polynomials. Chapter IV deals with the …
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Combinatorial number theory through diagramming and gesture
Within combinatorial number theory, we study a variety of problems about whole numbers that include enumerative, diagrammatic, or computational elements. We present results motivated by two different areas within combinatorial number theory: the study of partitions and the study of digital …
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Zero-sum problems in finite cyclic groups
… to investigate some open problems in the area of combinatorial number theory referred to as zero-sum theory. A zero-sequence in a finite cyclic group G is said to have the basic property if it is equivalent under group automorphism to one which has sum precisely IGI when this sum is viewed as an …
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Density and spacing properties of some families of non-standard ternary representations
… integers, the density of the represented numbers and the related generating functions.