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Matematicheskie Zametki, 2006, Volume 80, Issue 3, Pages 323–327
DOI: https://doi.org/10.4213/mzm2817 (Mi mzm2817) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Index of Lattices and Hilbert Polynomials

Yu. M. Alexencev

Moscow State Institute of Steel and Alloys (Technological University)
Full-text PDF (401 kB) Citations (1)
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DOI: https://doi.org/10.4213/mzm2817
Abstract: An upper bound for the index of a sublattice, which arises in relation to various versions of zero lemmas in the theory of linear forms in logarithms of algebraic numbers, in terms of the Hilbert polynomial is found. Simultaneously, a lower bound for the values of this polynomial is obtained.
Keywords: algebraic number, logarithmic height, lattice, index of a sublattice, Hilbert polynomial, rational subspace.
Received: 21.11.2005
Revised: 21.02.2006
English version:
Mathematical Notes, 2006, Volume 80, Issue 3, Pages 313–317
DOI: https://doi.org/10.1007/s11006-006-0142-3
Bibliographic databases:
UDC: 511+512.626
Language: Russian
Citation: Yu. M. Alexencev, “Index of Lattices and Hilbert Polynomials”, Mat. Zametki, 80:3 (2006), 323–327; Math. Notes, 80:3 (2006), 313–317
Citation in format AMSBIB
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Математические заметки Mathematical Notes
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