活动地点：

活动类型：学术报告

主讲人：刘建亚

活动时间：

活动内容：

 

报告题目：Prime solutions of homogeneous Diophantine equations

报告人：刘建亚 教授（山东大学数学学院）

时间：2012年7月31日(周二)上午10：00

地点：数学中心202教室

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Abstract： Establishing solubility of general Diophantine equations in primes is of considerable complexity, and the non-diagonal terms therein cause an extra difficulty. In this talk I will describe how analytic methods can be applied to detect prime solutions of general homogeneous Diophantine equations that may have many non-diagonal terms. For example it is proved that, under a mild condition, 10 variables are enough to guarantee the existence of infinitely many prime solutions of general quadratic equations.