A lattice-point problem for previous norm forms in several previous variables

Ramachandra, K. (1969) A lattice-point problem for previous norm forms in several previous variables Journal of Number Theory, 1 (4). pp. 534-555. ISSN 0022-314X

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Official URL: http://www.sciencedirect.com/science/article/pii/0...

Related URL: http://dx.doi.org/10.1016/0022-314X(69)90016-X

Abstract

Following Mahler's work "Zur Approximation algebraischer Zahlen", an asymptotic formula for the number of lattice points in |φ(x0,...,xh)| ≦ k, where φ is a norm form of a certain type in h+1 variables, is obtained as k→∞. The work is however also based on the author's paper "Approximation of Algebraic Numbers".

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