Izvestiya. Mathematics, Tome 67 (2003) no. 1, pp. 1-15
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V. I. Danilov; G. A. Koshevoy. Nilpotent operators and discretely concave functions. Izvestiya. Mathematics, Tome 67 (2003) no. 1, pp. 1-15. http://geodesic.mathdoc.fr/item/IM2_2003_67_1_a0/
@article{IM2_2003_67_1_a0,
author = {V. I. Danilov and G. A. Koshevoy},
title = {Nilpotent operators and discretely concave functions},
journal = {Izvestiya. Mathematics},
pages = {1--15},
year = {2003},
volume = {67},
number = {1},
language = {en},
url = {http://geodesic.mathdoc.fr/item/IM2_2003_67_1_a0/}
}
TY - JOUR
AU - V. I. Danilov
AU - G. A. Koshevoy
TI - Nilpotent operators and discretely concave functions
JO - Izvestiya. Mathematics
PY - 2003
SP - 1
EP - 15
VL - 67
IS - 1
UR - http://geodesic.mathdoc.fr/item/IM2_2003_67_1_a0/
LA - en
ID - IM2_2003_67_1_a0
ER -
%0 Journal Article
%A V. I. Danilov
%A G. A. Koshevoy
%T Nilpotent operators and discretely concave functions
%J Izvestiya. Mathematics
%D 2003
%P 1-15
%V 67
%N 1
%U http://geodesic.mathdoc.fr/item/IM2_2003_67_1_a0/
%G en
%F IM2_2003_67_1_a0
Given a pair of submodules of a module over a discrete valuation ring, we construct a function of two integer variables. We show that this function is discretely concave and, conversely, every discretely concave function of two integer variables arises in this way.
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