论文标题
假差异算术和对Riemann假设的尝试失败
Pseudodifferential arithmetic and a failed attempt on the Riemann hypothesis
论文作者
论文摘要
Riemann假设有效性的标准将问题降低到寻找某个估计值的问题，因为通过将操作员的Weyl象征性计算与算术性质平面的分布相关联的遗传学形式。人们可以将问题进一步减少到代数问题。在完成获得的Hermitian形式的计算后，此尝试似乎并没有导致真正的新分析方法。可以要求使用通常的分析和一致性算术之间的更好的合作，并在最后给出一些可能的提示。
A criterion for the validity of the Riemann hypothesis reduced the problem to the search for a certain estimate, for a hermitian form associated by means of the Weyl symbolic calculus of operators to a distribution in the plane of an arithmetic nature. One can reduce the question further to an algebraic question. After completion of the calculation of the hermitian form obtained, this attempt does not seem to lead to a genuinely new method of analysis of the conjecture. A better cooperation between usual analysis and congruence arithmetic may be called for, and some possible hints are given at the end.
