This article is cited in 3 papers

Nilpotent operators and discretely concave functions

V. I. Danilov, G. A. Koshevoy


Abstract: 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.

UDC: 512

MSC: 30F30

Received: 10.09.2001

DOI: 10.4213/im415

 English version: Izvestiya: Mathematics, 2003, 67:1, 1–15

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