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VIDEO LIBRARY |
Conference to the Memory of Anatoly Alekseevitch Karatsuba on Number theory and Applications
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Karatsuba's method of estimating of short Kloosterman sums M. A. Korolev Steklov Mathematical Institute of Russian Academy of Sciences, Moscow |
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Abstract: In the middle of 1990th, A.A. Karatsuba invented a new and original method of estimating of short Kloosterman sums, that is, the exponential sums of the folloving type: $$ S(m,A)=\sum_{n\in A}\exp{\biggl(\frac{an^{*}+bn}{m}\biggr)},\quad nn^*\equiv 1 \pmod m. $$ Here Language: Russian and English |