The Journal of the Indian Mathematical Society

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In Homogeneous Approximation in the Field of formal Power Series


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1 Department of Mathematics, University of Illinois, Urbana, 111, 61801, United States
     

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A theorem of Khintchine (see e.g. Cassels [2]) states the following: For all pairs of integers m > 0, n > 0 there is a constant Γm, n > 0 with the following property. Let Lj(X) (1 < j < n) be any real homogeneous linear forms in m variables (x1 , . . , xm) = X.
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  • In Homogeneous Approximation in the Field of formal Power Series

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Authors

Satish K. Aggarwal
Department of Mathematics, University of Illinois, Urbana, 111, 61801, United States

Abstract


A theorem of Khintchine (see e.g. Cassels [2]) states the following: For all pairs of integers m > 0, n > 0 there is a constant Γm, n > 0 with the following property. Let Lj(X) (1 < j < n) be any real homogeneous linear forms in m variables (x1 , . . , xm) = X.