Lecture

Theta functions: Properties and Transformations

In course

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Description

This lecture covers the properties and transformation properties of theta functions, focusing on their definition, modular forms, lattice levels, and shifted theta functions. The instructor explains the shifted theta functions and their applications, providing theorems and proofs related to these functions. The lecture also delves into the Poisson summation formula and its relevance to theta functions, emphasizing the relationship between different variables and functions.

Instructor

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Official source

https://mediaspace.epfl.ch/media/0_ha6juyzy

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Ontological neighbourhood

Mathematics

Number theory: Topics in number theory

Logic

Classical logic: First-order logic

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