Math 135 Fall 2024 120424 Riemann Zeta Function Part II
Автор: Winston Ou
Загружено: 2025-03-19
Просмотров: 112
Описание: Fixing the proof of Euler's identity (so that it's true for complex numbers). Goal: the functional equation relating Gamma and zeta. Comment on the location of the zeros of zeta. Statement of Riemann hypothesis. Technical lemma relating Gamma, zeta, and theta. Notational convenience: the xi function. Theorem: xi has analytic continuation to the plane with poles at 0, 1; further, satisfies a functional equation (yielding the continuation of zeta).
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