素数的分布

This essay has applied the characteristics of sine functions of Goth function, and according to Kronecher function, it has set up a new function to represent composite number and thus come out with a more accurate function of prime number distribution .

本文根据表哥德巴赫猜想定义了卷和函数，并依照素数分布的函数得到了表哥德巴赫猜想的函数形式。

A proof that it is true for every interesting solution would shed light on many of the mysteries surrounding the distribution of prime numbers.

证明它对于每一个有意义的解都成立将为围绕素数分布的许多奥秘带来光明。

In this paper, normalized cubic Gauss sums distribution at unit circle is studied by analytical methods.

本文运用解析的方法，研究模为算术级数中素数的正规化三次高斯和在单位圆周上的分布。

We conclude that normalized cubic Gauss sums which modular is primes in arithmetic progressions are uniformly distributed around the circle and we get that there is no rule like quadratic Gauss sums.

并由此得出，模为算术级数中素数的正规化三次高斯和在单位圆周上是一致分布的。因此，在三次情况下不存在类似二次高斯和的判别准则。

Implementation of public-key distribution systems over the prime field GF taking Mersenne's primes as the characteristic was suggested and a fast encryption -decryption algorithm of the system was poresented.

本文建议在以Mersenne素数为特征的素域GF上实现公钥分布系统，提出了该系统的一种快速加密-解密算法，这种算法具有便于实现的优点。

In prime number distributed research process,and through established one kind of new sieve method and the stair theory,this article obtained about three group of prime number distribution recurrence formula: The 1st is not bigger than x the prime number integer recurrence formula;The 2nd is not bigger than x the twin prime integer recurrence formula;The(3rd Recurrence) formula.

在研究素数分布过程中，通过创立一种新的筛法与台阶理论，得到关于素数分布的三组递推公式：不大于x的素数个数与孪生素数对数量的递推公式；不大于x的孪生素数个数的递推公式；任意偶数x≥6表为两个奇素数之和与孪生素数对数量对数的递推公式。

The Cu data appears to divide into a normal distribution for values below the first population upper limit 20 ppm for the fractal plot and one or more lognormal distributions above 20 ppm thresholds, which can identifies both the regions of Tertian basalts and main trend of Cu mineralization.

铜元素数据划分二个部分，一部分是元素含量少于20ppm的正态分布数据，另一部分是元素含量大于20ppm的多个对数正态分布数据，能识别第三纪玄武岩区域和铜的主要矿化区。这一结论与使用传统的概率图模型方法得到的结论一致。

This paper mainly deals with distribution of primitive polynomials and primitive elements over finite fields. LetFq be a finite field of q elements with characteristic p , xn + a1xn-1 +...+ an-1x + an be a polynomial over Fq .

本文主要研究有限域上本原多项式及本原元的分布，设F_q表示有q个元素的有限域，q为素数的方幂，F_q是F_q的多项式环，文献[10][11]中证明在F_q上，存在可预先指定a_1，a_2的n≥7次本原多项式。

Breath, muscle contraction of the buttocks; arch body, as far as possible to hold his head, right leg straight towards the ceiling (peg-leg knee in order to avoid muscle tension).

呼气，收缩臀部肌肉；拱起身体，尽量抬起头来，右腿伸直朝向天花板（膝微屈，以避免肌肉紧张）。

The cost of moving grain food products was unchanged from May, but year over year are up 8%.

粮食产品的运输费用与5月份相比没有变化，但却比去年同期高8％。