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pro vyhledávání: '"Rakhmonov, Zarullo"'
Publikováno v:
In: Pintz, J., Rassias, M. (eds) Irregularities in the Distribution of Prime Numbers. Springer, Cham. (2018)
For a nonprincipal character $\chi$ modulo $D$, when $x\ge D^{\frac56+\varepsilon}$, $(l,D) = 1$, we prove a nontrivial estimate of the form $\sum_{n\le x}\Lambda (n)\chi (n-l)\ll x\exp\left(-0.6\sqrt{\ln D}\right)$ for the sum of values of $\chi$ ov
Externí odkaz:
http://arxiv.org/abs/2412.03040
Autor:
Rakhmonov, Zarullo, Rakhmonov, Firuz
For $n \geq 3$, an asymptotic formula is derived for the number of representations of a sufficiently large natural number $N$ as a sum of $r = 2^n + 1$ summands, each of which is an $n$-th power of natural numbers $x_i$, $i = \overline{1, r}$, satisf
Externí odkaz:
http://arxiv.org/abs/2411.06153