论文标题
多项式的质量和副本值
Prime and coprime values of polynomials
论文作者
论文摘要
schinzel假设是连接多项式值和质数的数字理论的著名猜想。同样，我们研究了值$ p_1（n），\ ldots，p_s（n）$的普通分隔线。我们推断出Schinzel假设的这种副本版本：在某些自然假设下，企业多项式假设在无限的许多整数上假设副标值。后果包括原始schinzel假设的版本“ Modulo A Gonteger”，并以Goldbach的猜想，同样是Modulo a a a Goteger作为一种特殊情况。
The Schinzel Hypothesis is a celebrated conjecture in number theory linking polynomial values and prime numbers. In the same vein we investigate the common divisors of values $P_1(n),\ldots, P_s(n)$ of several polynomials. We deduce this coprime version of the Schinzel Hypothesis: under some natural assumption, coprime polynomials assume coprime values at infinitely many integers. Consequences include a version "modulo an integer" of the original Schinzel Hypothesis, with the Goldbach conjecture, again modulo an integer, as a special case.
