The Zeta-Function of the Maximal Real Subfields of the Cyclotomic Fields

Student: Gerasimik Darya

Educational Programme: Mathematics (Bachelor)

Final Grade: 7

Year of Graduation: 2024

This paper is devoted to the Dedekind zeta-function of the maximal real subfields of the cyclotomic fields. The aim of this paper is to study the Dedekind zeta-function for the field generated by $\gamma_p = 2 \cos \frac{2\pi}{p}$. In addition, the structure of the group of units of the corresponding order is analyzed by means of the Dirichlet's unit theorem.

Full text (added June 2, 2024)

Student Theses at HSE must be completed in accordance with the University Rules and regulations specified by each educational programme.

Summaries of all theses must be published and made freely available on the HSE website.

The full text of a thesis can be published in open access on the HSE website only if the authoring student (copyright holder) agrees, or, if the thesis was written by a team of students, if all the co-authors (copyright holders) agree. After a thesis is published on the HSE website, it obtains the status of an online publication.

Student theses are objects of copyright and their use is subject to limitations in accordance with the Russian Federation’s law on intellectual property.

In the event that a thesis is quoted or otherwise used, reference to the author’s name and the source of quotation is required.

Search all student theses