The Riemann Hypothesis
نویسنده
چکیده
Associated to classical semi-simple groups and their maximal parabolics are genuine zeta functions. Naturally related to Riemann’s zeta and governed by symmetries, including that of Weyl, these zetas are expected to satisfy the Riemann hypothesis. For simplicity, G here denotes a classical semi-simple algebraic group defined over the field Q of rationals. With a fixed Borel, as usual, ∆0 stands for the corresponding collection of simple roots; W the associatd Weyl group; for a positive root α, α the corresponding coroot; and ρ := 1 2 ∑ α>0 α. Definition 1. The period for G over Q is defined by
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تاریخ انتشار 2008