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tfg_martinez_vergara_rafael.pdf (642.28 KB)

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Bachelor thesis

Publication date

2022-06-13

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cc-by-nc-nd (c) Rafael Martı́nez Vergara, 2022
Please use this identifier to cite or link to this item: https://hdl.handle.net/2445/191506

La constant de Bruijn-Newman

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Abstract

[en] One of the most famous conjectures from number theory is the Riemann hipothesis. This conjecture has been studied from different branches of mathematics but unfortunately even today is not resolved. A way of study the behaviour of the zeros of the Riemann zeta function is by studying the de Bruijn-Newman constant. This work has as a goal to understand some results about this constant. We explain the results that lead to this constant, we see the relation between the constant and the Riemann Hipothesis and other results. Our main goal is to comprehend the article of George Csordas, Wayne Smith i Richard S. Varga, one of the most important contributions about the de Bruijn-Newman constant.

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Treballs Finals de Grau de Matemàtiques, Facultat de Matemàtiques, Universitat de Barcelona, Any: 2022, Director: Jordi Marzo Sánchez

Subject

Funcions de variables complexes, Treballs de fi de grau, Funcions enteres, Superfícies de Riemann

Subject (English)

Functions of complex variables, Bachelor's theses, Entire functions, Riemann surfaces

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Treballs Finals de Grau (TFG) - Matemàtiques

Citation

MARTÍNEZ VERGARA, Rafael. La constant de Bruijn-Newman. [consulted: 7 of June of 2026]. Available at: https://hdl.handle.net/2445/191506

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