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Titlebook: Notes from the International Autumn School on Computational Number Theory; Ilker Inam,Engin Büyükaşık Book 2019 Springer Nature Switzerlan

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发表于 2025-3-21 19:45:07 | 显示全部楼层 |阅读模式
书目名称Notes from the International Autumn School on Computational Number Theory
编辑Ilker Inam,Engin Büyükaşık
视频video
概述Presents lecture notes from the 2017 International Autumn School of Computational Number Theory.Offers graduate students a valuable introduction to computational number theory.Encourages future resear
丛书名称Tutorials, Schools, and Workshops in the Mathematical Sciences
图书封面Titlebook: Notes from the International Autumn School on Computational Number Theory;  Ilker Inam,Engin Büyükaşık Book 2019 Springer Nature Switzerlan
描述This volume collects lecture notes and research articles from the International Autumn School on Computational Number Theory, which was held at the Izmir Institute of Technology from October 30th to November 3rd, 2017 in Izmir, Turkey. Written by experts in computational number theory, the chapters cover a variety of the most important aspects of the field. By including timely research and survey articles, the text also helps pave a path to future advancements. Topics include:.Modular forms.L-functions.The modular symbols algorithm.Diophantine equations.Nullstellensatz.Eisenstein series.Notes from the International Autumn School on Computational Number Theory. will offer graduate students an invaluable introduction to computational number theory. In addition, it provides the state-of-the-art of the field, and will thus be of interest to researchers interested in the field aswell..
出版日期Book 2019
关键词Galois representations; modular forms; Diophantine equations; Number theory; Nonstandard methods
版次1
doihttps://doi.org/10.1007/978-3-030-12558-5
isbn_softcover978-3-030-12557-8
isbn_ebook978-3-030-12558-5Series ISSN 2522-0969 Series E-ISSN 2522-0977
issn_series 2522-0969
copyrightSpringer Nature Switzerland AG 2019
The information of publication is updating

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发表于 2025-3-22 00:13:45 | 显示全部楼层
Computational Arithmetic of Modular Formsgorithm in as elementary and as explicit terms as possible, and to enable the devoted student to implement it over any ring (such that a sufficient linear algebra theory is available in the chosen computer algebra system). The chosen approach is based on group cohomology and along the way the needed tools from homological algebra are provided.
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On the ,-Constacyclic and Cyclic Codes Over the Finite Ring In this paper a new finite ring is introduced along with its algebraic properties. In addition, a new Gray map is defined on the ring. The Gray images of both the cyclic and the .-constacyclic codes over the finite ring are found to be permutation equivalent to binary quasicyclic codes.
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https://doi.org/10.1007/978-3-030-12558-5Galois representations; modular forms; Diophantine equations; Number theory; Nonstandard methods
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