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VIDEO LIBRARY |
À.A.Karatsuba's 80th Birthday Conference in Number Theory and Applications
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Applications of incidences theory to some triple exponential sums I. D. Shkredovab a Steklov Mathematical Institute of Russian Academy of Sciences, Moscow b Lomonosov Moscow State University, Faculty of Mechanics and Mathematics |
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Abstract: Let \begin{multline*} \sum\limits_{a\in A,\,b\in B,\,c\in C} \chi(a+b+c), \sum\limits_{a\in A,\,b\in B,\,c\in C,\,d\in D} \chi (a+b+cd),\quad \sum\limits_{a\in A,\,b\in B,\,c\in C,\,d\in D} \chi (a+b(c+d)) \end{multline*} over arbitrary sets, and for a trinomial sum $$ \sum_x \chi(x) e_p (ax^k +bx^m + cx^n) \,. $$ Language: English |