Iwasawa-Tate on ζ-functions and L-functions
نویسنده
چکیده
After a too-brief introduction to adeles and ideles, we sketch proof of analytic continuation and functional equation of Riemann’s zeta, in the modern form due independently to Iwasawa and Tate about 1950. The sketch is repeated for Dedekind zeta functions of number fields, noting some additional complications. The sketch is repeated again for Hecke’s (größencharakter) L-functions, noting further complications.
منابع مشابه
Analytic continuation, functional equation: examples
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تاریخ انتشار 2011