An Extension of Kronecker's Theorem |
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Mean value of a function over an infinite interval | 9 |
Mean value of the sum of exponentials | 10 |
Lower limit for the sum 1 6 8 ΣΟ Boßiße Bu 11 1 | 11 |
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1)² log 1)² N² log A₂ absolute value adjoint arbitrarily given B₂ C₁ C₂ Charles Hermite cofactor constants a₁ d₁ d₂ Denoting determinants of order due to Professor equations equivalent exists a real expressed EXTENSION OF KRONECKER'S ɛ mod form f fundamental system geometrical problem geometry of numbers given Ɛ given number greatest common divisor h₂ impossible to satisfy independent relations integer is numerically integers h integral coefficients integral values Kronecker's Theorem linearly independent M₁ manifolds matrix mean value modulo necessary condition numerically less original system paragraph positive number possibility of satisfying possible linear relation Professor Bohr Professor Harald Bohr real number relations with integral right hand member satisfy Kronecker's satisfy the inequalities set of integers shortest distance Stanford University Suppose system of inequalities transformed unimodular substitution vanish simultaneously variables απάω ан