General numeration I. Gauged schemes.
Dubois, D. W.
Revista Matemática Hispanoamericana, Tome 42 (1982), p. 38-50 / Harvested from Biblioteca Digital de Matemáticas
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The paper deals with special partitions of whole numbers in the following form: given a sequence of pairs {[Gi;Di]} of positive integers in which the Gi form a strictly increasing sequence, sums of the form ∑niGi, with 0 ≤ ni ≤ Di, are considered. The correspondence

[nk ... n0] → ∑i≤k niGi

defines then a mapping α from a set M of numerals, called Neugebauer symbols, satisfying 0 ≤ ni ≤ Di, into the set W of all non-negative integers. In M, initial zeros are supressed and M is ordered in the usual numerical order. Such an α is called a gauged scheme.

Publié le : 1982-01-01
DMLE-ID : 2506 
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     title = {General numeration I. Gauged schemes.},
     journal = {Revista Matem\'atica Hispanoamericana},
     volume = {42},
     year = {1982},
     pages = {38-50},
     zbl = {0562.05010},
     language = {en},
     url = {http://dml.mathdoc.fr/item/urn:eudml:doc:39825}
}

Dubois, D. W. General numeration I. Gauged schemes.. Revista Matemática Hispanoamericana, Tome 42 (1982) pp. 38-50. http://gdmltest.u-ga.fr/item/urn:eudml:doc:39825/