黎曼假设的动力学解
A Dynamical Key to the Riemann Hypothesis
摘要：
我们研究了黎曼假设（RH）的动力学基础，即黎曼ζ函数的非平凡零点位于临界线x = 1/2。在这个过程中，我们图形化地探索，在尽可能丰富的方式，zeta和L-功能的多样性，寻找在临界线和其他零之间的边界的例子。该方法为各种形式的zeta函数和L函数在临界线上具有非平凡零点的原因提供了动力学基础。它表明RH是数制的一个额外的不可证明公设，类似于选择公理，源于素数趋于无穷大的渐进行为。
英文摘要：
We investigate a dynamical basis for the Riemann hypothesis (RH) that the non-trivial zeros of the Riemann zeta function lie on the critical line x = 1/2. In the process we graphically explore, in as rich a way as possible, the diversity of zeta and L-functions, to look for examples at the boundary between those with zeros on the critical line and otherwise. The approach provides a dynamical basis for why the various forms of zeta and L-function have their non-trivial zeros on the critical line. It suggests RH is an additional unprovable postulate of the number system, similar to the axiom of choice, arising from the asymptotic behavior of the primes as tends to infinity.
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