Video library: Z. Kh. Rakhmonov, Sums of characters modulo a cubefree at shifted primes

VIDEO LIBRARY


Conference to the Memory of Anatoly Alekseevitch Karatsuba on Number theory and Applications January 28, 2016 11:05, Dorodnitsyn Computing Centre, Department of Mechanics and Mathematics of Lomonosov Moscow State University., 119991, Moscow, Gubkina str., 8, Steklov Mathematical Institute, 9 floor, Conference hall

Sums of characters modulo a cubefree at shifted primes Z. Kh. Rakhmonov Institute of Mathematics, Academy of Sciences of Republic of Tajikistan, Dushanbe
Abstract: The talk presents a new bound for the sum of primitive Dirichlet character modulo cubefree integer $q$ at shifted primes $p-l$, $(l,q)=1$, $p\leqslant x$. This bound is nontrivial for $x\geqslant q^{0.5+\varepsilon}$.