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Simplification of radicals with applications to solving polynomial equations.
Published 2023Subjects: Get full text
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Square Integer Matrix with a Single Non-Integer Entry in Its Inverse
Published 2021-09-01Subjects: Get full text
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On the generalization of Inoue manifolds
Published 2020-12-01“…Our construction is elementary and does not use algebraic number theory. We show that some of the Oeljeklaus-Toma manifolds are biholomorphic to the manifolds of type TM. …”
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A Handy Technique for Fundamental Unit in Specific Type of Real Quadratic Fields
Published 2019-10-01“…Different types of number theories such as elementary number theory, algebraic number theory and computational number theory; algebra; cryptology; security and also other scientific fields like artificial intelligence use applications of quadratic fields. …”
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On solving norm equations in global function fields
Published 2009-09-01“…The potential of solving norm equations is crucial for a variety of applications of algebraic number theory, especially in cryptography. In this article we develop general effective methods for that task in global function fields for the first time.…”
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Coverings of Curves of Genus 2.
Published 2000“…This classical technique has recently been given a new lease of life by being combined with descent techniques on Jacobians of curves, Chabauty techniques, and the increased power of software to perform algebraic number theory. We shall survey recent applications during the last 5 years which have used Chabauty techniques and covering collections of curves of genus 2 obtained from pullbacks along isogenies on their Jacobians.…”
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Coverings of curves of genus 2
Published 2000“…This classical technique has recently been given a new lease of life by being combined with descent techniques on Jacobians of curves, Chabauty techniques, and the increased power of software to perform algebraic number theory. We shall survey recent applications during the last 5 years which have used Chabauty techniques and covering collections of curves of genus 2 obtained from pullbacks along isogenies on their Jacobians.…”
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Some geometric aspects of finite abelian groups
Published 2006-01-01“…It is well known that this situation may be studied by algebraic means (via a representation by suitable types of difference sets), namely using group rings and algebraic number theory and leading to rather strong nonexistence results. …”
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PENINGKATAN KOMPETENSI GURU PEMBINA OLIMPIADE MATEMATIKA SISWA SEKOLAH MENENGAH PERTAMA KABUPATEN MADIUN
Published 2019-10-01“…This improvement could be seen from the answers of practice questions as well as from the presentations session whereas the teachers could clearly describe several topics such as an algebraic, number theory, geometry, combinatorics, and statistics. …”
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Network Modulation: An Algebraic Approach to Enhancing Network Data Persistence
Published 2010-01-01“…In this work, we propose a novel <it>network modulation</it> (NeMo) approach to significantly improve the data persistence. Built on algebraic number theory, NeMo operates at the level of modulated symbols (so-called "modulation over modulation"). …”
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D’un point de vue rigoureux et parfaitement général : pratique des mathématiques rigoureuses chez Richard Dedekind
Published 2014-03-01“…Weber, as well as in his foundational essays and his work on algebraic number theory. In the second part, I examine criteria of rigor in Dedekind’s practice of mathematics, so as to shed light on his conception of rigor. …”
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