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Lower estimates of sums of polynomial characters |
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| Authors: | A A Karatsuba |
| Institution: | 1. V. A. Steklov Mathematical Institute, Academy of Sciences of the USSR, USSR |
| Abstract: | An infinite sequence of primes p is formulated, and for each p polynomials of formaxn+b, (a, p)=(b, p)=1, are indicated such that $$\sum\nolimits_{x = 1}^p {\left( {\frac{{ax^n + b}}{p}} \right) = p,n \asymp \frac{p}{{log p}}.}$$ |
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