An Extension of Kronecker's Theorem |
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Contents
Chapter I | 6 |
Mean value of the sum | 9 |
Lower limit for the upper bound | 13 |
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Common terms and phrases
1)² N² log A₂ absolute value adjoint arbitrarily given B₂ C₂ Charles Hermite cofactor Committee on Graduate d₂ Denoting determinants of order Doctor of Philosophy equations equivalent exists a real expressed EXTENSION OF KRONECKER'S form f fundamental system geometrical problem geometry of numbers given Ɛ given number greatest common divisor h₂ Hence independent relations integers h integral coefficients integral values Kronecker's Theorem linearly independent M₂ manifolds matrix mean value modulo Multiplying necessary condition numerically less original system paragraph positive number possible linear relation Professor Bohr Professor Harald Bohr real number relations with integral right hand member satisfy Kronecker's satisfying the inequalities set of integers shortest distance Stanford University Suppose system of inequalities transformed unimodular substitution upper bound vanish simultaneously variables d₁ α₁ αμ απάω ар Мј င် 黒い