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General Kloosterman sums over the ring of Gaussian integers

โœ Scribed by S. P. Varbanets


Publisher
Springer
Year
2007
Tongue
English
Weight
317 KB
Volume
59
Category
Article
ISSN
0041-5995

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Let O denote the ring of integers of a local field. In this note we prove an ร„ 4 ฯฑ approximation theorem for the Riesz type kernels โฅ over O. The proof , , n ns1 ลฝ . y1 requires a sharp estimate of the Dirichlet kernel D x on P \_ O, which may also n have independent interest. As a consequence we so