A brief overview of modular and automorphic forms
نویسنده
چکیده
These notes were originally written in Fall 2010 to provide a very quick overview of some basic topics in modular forms, automorphic forms and automorphic representations. I have not made any significant changes since, or even proofread them completely (so some information may be outdated, and errors may remain), mostly just corrected some typos. If you spy any more errors, or have suggestions, please let me know. The main sources used in the preparation of these notes were Zagier’s notes in The 1-2-3 of Modular Forms, Kilford’s book on modular forms, Cogdell’s Fields Institute notes on automorphic forms and representations, and my brain. I’ve since written up course notes on modular forms, if you want to start studying these some of things in more detail. For automorphic forms, there are also some links to more sources on my automorphic representations course page. (I wrote some incomplete notes, but they didn’t get to automorphic forms.)
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