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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 from foundational series convergence and definitions to essential functional equations, transformation properties, and quasi-periodic behaviour. Gain expertise in lattice encoding, elliptic function construction through theta quotients, connections to Weierstrass ℘-function, and applications of uniqueness and dimension theorems, complete with proofs, examples, and tips for rigorous exposition and accurate citations.

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 given divisors.
  • Connect theta functions to Weierstrass ℘ via poles, zeros, and fields.
  • Develop skills in rigorous proofs, lattice normalisation, and source citation.

Suggested summary

Before starting, you can change the chapters and the 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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SilviaNurse
Great course. A lot of valuable information.
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