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Theta Functions Course

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

What will I learn?

This course guides learners from basic theta function definitions and convergence through vital functional equations, transformation properties, and quasi-periodic behaviours. Participants will encode lattices, build elliptic functions using theta quotients, connect them to the Weierstrass ℘-function, and leverage uniqueness theorems alongside dimension results, supported by detailed proofs, examples, and tips for accurate writing and referencing.

Elevify advantages

Develop skills

  • Master theta series convergence, including control over domains and holomorphic properties.
  • Derive essential theta identities like the heat equation, quasi-periodicity, and modular transformations.
  • Construct elliptic functions via theta quotients to achieve specific divisors.
  • Link theta functions to Weierstrass ℘ by analysing poles, zeros, and field extensions.
  • Develop skills in rigorous mathematical writing, lattice normalisation, multiplier tracking, 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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Very great course. Lots of rich information.
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