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Eine mehrdimensionale Version der Ungleichung von le Veque |
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| Authors: | Dr Hans Stegbuchner |
| Institution: | 1. Mathematisches Institut, Universit?t Salzburg, Petersbrunnstra?e 19, A-5020, Salzburg, ?sterreich |
| Abstract: | In this short note we give a proof of le Veque's inequality $$D_N \leqq (6/\pi ^2 )\sum\limits_{h = 1}^\infty {h - 2\left| {(1/N)\sum\limits_{k = 1}^N {e^{2\pi ihx_k } |2)1/3} } \right|} $$ for dimensions≧2. |
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