论文标题
请注意$ p $ - adic本地功能方程
Note on $p$-adic Local Functional Equation
论文作者
论文摘要
给定Primes $ \ ell \ ne p $，我们在这里录制了$ p $ - adic估价的傅立叶理论，在本地字段上，$ \ mathbf {q} _ \ ell $，这是在小组方案的角度开发的。作为一种应用程序，通过将刚性分析替换为复杂分析，它自然而然地导致$ \ ell $的$ p $ adad局部功能方程，这在泰特论文的论文中非常类似于复杂的方程。
Given primes $\ell\ne p$, we record here a $p$-adic valued Fourier theory on a local field over $\mathbf{Q}_\ell$, which is developed under the perspective of group schemes. As an application, by substituting rigid analysis for complex analysis, it leads naturally to the $p$-adic local functional equation at $\ell$, which strongly resembles the complex one in Tate's thesis.
