# Algebraic, Analytic, and Computational Number Theory and Its Applications

A special issue of *Mathematics* (ISSN 2227-7390). This special issue belongs to the section "Algebra, Geometry and Topology".

Deadline for manuscript submissions: **closed (31 October 2023)** | Viewed by 31733

## Special Issue Editors

**Interests:**algebraic number theory; elementary number theory; computational number theory; associative algebras; combinatorics

Special Issues, Collections and Topics in MDPI journals

**Interests:**inequalities; generalized entropies; Euclidean geometry; operator theory

Special Issues, Collections and Topics in MDPI journals

**Interests:**algorithms; computational number theory; algebraic number theory; computational algebra

Special Issues, Collections and Topics in MDPI journals

## Special Issue Information

Dear Colleagues,

The aim and scope of this Special Issue is to publish new results in algebraic number theory and analytic number theory, namely in ramification theory in algebraic number fields, class field theory, arithmetic functions, L-functions, modular forms, elliptic curves, and some close research directions, namely associative algebras, logical algebras, elementary number theory, combinatorics, difference equations, group rings, and algebraic hyperstructures.

Prof. Dr. Diana Savin

Prof. Dr. Nicusor Minculete

Prof. Dr. Vincenzo Acciaro*Guest Editors*

**Manuscript Submission Information**

Manuscripts should be submitted online at www.mdpi.com by registering and logging in to this website. Once you are registered, click here to go to the submission form. Manuscripts can be submitted until the deadline. All submissions that pass pre-check are peer-reviewed. Accepted papers will be published continuously in the journal (as soon as accepted) and will be listed together on the special issue website. Research articles, review articles as well as short communications are invited. For planned papers, a title and short abstract (about 100 words) can be sent to the Editorial Office for announcement on this website.

Submitted manuscripts should not have been published previously, nor be under consideration for publication elsewhere (except conference proceedings papers). All manuscripts are thoroughly refereed through a single-blind peer-review process. A guide for authors and other relevant information for submission of manuscripts is available on the Instructions for Authors page. *Mathematics* is an international peer-reviewed open access semimonthly journal published by MDPI.

Please visit the Instructions for Authors page before submitting a manuscript. The Article Processing Charge (APC) for publication in this open access journal is 2600 CHF (Swiss Francs). Submitted papers should be well formatted and use good English. Authors may use MDPI's English editing service prior to publication or during author revisions.

## Keywords

- ramification theory in algebraic number fields
- quadratic fields
- biquadratic field
- cyclotomic fields
- Kummer fields
- Dedekind rings
- p-adic fields
- class field theory
- elliptic curves
- L-functions
- modular forms
- quaternion algebras
- arithmetic functions
- difference equations
- Fibonacci, Lucas, Pell, Horadam numbers and quaternions
- logical algebras
- algebraic hyperstructures
- cryptography