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Conference to the Memory of Anatoly Alekseevitch Karatsuba on Number theory and Applications
January 28, 2016
11:05–11:30
, 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
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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
$x\geqslant q^{0.5+\varepsilon}$
.
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