Progression Bases for Finite Cyclic Groups

Öystein J. Rödseth ()
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Öystein J. Rödseth: University of Bergen, Department of Mathematics

Chapter 20 in Number Theory: New York Seminar 1991–1995, 1996, pp 269-279 from Springer

Abstract: Abstract A set A of integers is an additive basis modulo n if every integer is congruent mod n to a sum of at most h elements of A, repetitions being allowed. The set A is a basis of order h in case h is minimal. In this paper we study the order of bases of the form (α, 2α, …, kα) U (b, 2b, …, 1b) and of the form (α, α + b, α + 2b, …, α + kb), where α, b are integers satisfying gcd(α, b, n) = 1.

Date: 1996
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-1-4612-2418-1_20

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DOI: 10.1007/978-1-4612-2418-1_20

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