Heckes L-functions

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The notes provide a comprehensive account of the adelic approach to Hecke's L-functions related to number fields, detailing analytic continuation, functional equations, and the class number formula from the Dedekind zeta function. This approach, independently discovered by Iwasawa and Tate, laid the groundwork for modern studies in automorphic forms and L-series. The volume fills a significant gap in the literature, as Iwasawa's insights had not been previously published in detail, culminating in an elegant explanation of classical results regarding prime ideals and cyclotomic fields.