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VIDEO LIBRARY |
̀emorial conference dedicated to the memory of Ivan Matveevich Vinogradov
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Multiplicative graphs ant its applications to the equation A. S. Semchankau Moscow Institute of Physics and Technology (State University), Dolgoprudny, Moscow region |
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Abstract: We study the following general problem. Given natural number $$ f(n)\,-\,g(n)\,=\,c. $$ Under some conditions to the solutions of this equation and to the functions $$ n - \varphi(n) = c, $$ we find the followingformula: $$ J(c)\,=\,G(c + 1) + O(c^{\,3/4 + o(1)}). $$ Here |