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Application of the circle method

Authors: Boquet Acero, Joan;

Application of the circle method

Abstract

The goal of this thesis is to provide a self-contained proof of Rademacher’s formula for the partition function p(n), based on a powerful analytic tool devised by Hardy, Ramanujan and Littlewood known as the circle method.

Treballs Finals de Grau de Matemàtiques, Facultat de Matemàtiques, Universitat de Barcelona, Any: 2025, Director: Francesc Fité Naya

Country
Spain
Related Organizations
Keywords

Partitions (Mathematics), Particions (Matemàtica), Bachelor's theses, Funcions modulars, Modular forms, Modular functions, Formes modulars, Treballs de fi de grau, Joan Boquet Acero

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
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