Average Bateman–Horn for Kummer polynomials
نویسندگان
چکیده
For any prime $r \in \mathbb N$ and almost all $k smaller than $x^r$, we show that the polynomial $f(n) = n^r + k$ takes expected number of values, as $n$ ranges from 1 to $x$. As a consequence, deduce statements concerning var
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ژورنال
عنوان ژورنال: Acta Arithmetica
سال: 2023
ISSN: ['0065-1036', '1730-6264']
DOI: https://doi.org/10.4064/aa220921-20-2