Looking for an introductory text on newforms and oldforms. I have only found http://sage.math.washington.edu/edu/Fall2003/252/lectures/11-12-03/11-12-03.pdf which is not introductory in nature.
Thanks
2026-03-30 16:22:54.1774887774
Introduction to newforms and oldforms
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I find Diamond and Shurman to be the best first introduction to modular forms, including discussion of oldforms and newforms. I also find that Goldfeld's Automorphic L-Functions for GLnR (as opposed to his automorphic representation books) to be the best higher-level introduction.
The relationship between these is somewhat similar to the relationship between Atiyah-MacDonald and Eisenbud towards algebraic geometry: there's a lot of overlap, but Goldfeld is pitched much higher.