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Algebra 1 (Number Theory) Lab (Tamotsu Ikeda)
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A lab that studies number theory through automorphic forms and L-functions.
AboutAbout the lab
Exploring the world of integers through automorphic forms.
The lab focuses on the theory of automorphic forms within number theory.
According to the Langlands conjectures, the L-functions that appear in many areas of number theory are believed to arise from automorphic forms.
By studying automorphic forms, the lab investigates the properties of L-functions.
Key terms
- Automorphic form
- A function with strong symmetry, closely connected to many problems in number theory.
- L-function
- A function that packages information about the properties of numbers into forms such as an infinite product (an Euler product).
- Lifting
- Constructing an automorphic form on one group from an automorphic form on another group.
ResearchResearch themes
The lab studies number theory, especially the theory of automorphic forms. Its research is driven by interest in automorphic forms and the L-functions obtained from them.
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MembersFaculty
- ProfessorTamotsu Ikeda
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Report an errorAbout the images
The top and research theme images are illustrative and were not taken at the lab. They are cropped from Wikimedia Commons images. Cropped CC BY-SA images are provided under the same CC BY-SA license as the original (version shown on each line).
- Top image: “KleinInvariantJ” Jan Homann / Public domain (cropped)
- Lifting of automorphic forms: “Eisenstein 12” Jan Homann / Public domain (cropped)
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