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Theta Functions Course

Theta Functions Course
from 4 to 360h flexible workload
certificate valid in your country

What will I learn?

Explore theta functions comprehensively, covering definitions, convergence, functional equations, transformation laws, and quasi-periodicity. Encode lattices, build elliptic functions through theta quotients, connect to Weierstrass ℘-function, and master uniqueness and dimension results with proofs, examples, and guidance on rigorous exposition and source citation.

Elevify advantages

Develop skills

  • Master theta series convergence, domains, and holomorphic properties.
  • Derive key theta identities including heat equation and modular laws.
  • Construct elliptic functions using theta quotients for divisors.
  • Connect theta functions to Weierstrass ℘ via poles, zeros, and fields.
  • Develop skills in rigorous proofs, lattice normalisation, and citations.

Suggested summary

Before starting, you can change the chapters and workload. Choose which chapter to start with. Add or remove chapters. Increase or decrease the course workload.
Workload: between 4 and 360 hours

What our students say

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Very great course. Lots of rich information.
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