Automorphic Forms
Cusp forms on adelic groups and the trace formula.
Automorphic Forms. Cusp forms on adelic groups and the trace formula.
Foundations and canonical references
The standard treatments of automorphic forms approach the subject from complementary angles. Bump, Automorphic Forms and Representations (1997) is the anchor reference for the subject and lays out the core definitions, theorems, and worked examples that practitioners return to.
Open methodological questions for automorphic forms include sharpening the bridges between foundational theory and computational practice, extending classical results to broader or more structured settings, and integrating the techniques surveyed above with adjacent mathematical disciplines. The references listed in this page are the entry points that current work builds on.
Prerequisites
Sources
- textbook · primary · 1997Automorphic Forms and Representationsbump-1997
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