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75 Years of Mathematics of Computation最新文献

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Iterative methods for linear systems of equations: A brief historical journey 线性方程组的迭代方法:一个简短的历史历程
75 Years of Mathematics of Computation Pub Date : 2019-08-02 DOI: 10.1090/conm/754/15141
Y. Saad
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引用次数: 18
A new ranking function for polynomial selection in the number field sieve 一个新的排序函数，用于在数字字段筛选中选择多项式
75 Years of Mathematics of Computation Pub Date : 1900-01-01 DOI: 10.1090/CONM/754/15139
N. David, P. Zimmermann
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引用次数: 2
Computing modular polynomials and isogenies of rank two Drinfeld modules over finite fields 有限域上二阶Drinfeld模的模多项式和等同性计算
75 Years of Mathematics of Computation Pub Date : 1900-01-01 DOI: 10.1090/conm/754/15148
Perlas Caranay, Matthew Greenberg, R. Scheidler
{"title":"Computing modular polynomials and isogenies of rank two Drinfeld modules over finite fields","authors":"Perlas Caranay, Matthew Greenberg, R. Scheidler","doi":"10.1090/conm/754/15148","DOIUrl":"https://doi.org/10.1090/conm/754/15148","url":null,"abstract":"Summary: We present algorithms for computing j -invariants, modular polynomials and explicit isogenies for ordinary rank 2 Drinfeld modules over finite fields and describe how Drinfeld modular polynomials can be used to compute isogeny graphs and endomorphism rings of ordinary rank 2 Drinfeld modules. Our technique for computing Drinfeld modular polynomials is based on the traditional analytic approach for obtaining classical modular polynomials. Our ideas for generating isogeny graphs and finding endomorphism rings for rank 2 Drinfeld modules closely follows the work of Kohel and Fouquet. All our algorithms were implemented in SAGE and numerical examples are included. For the entire collection see [Zbl 1461.11002].","PeriodicalId":369218,"journal":{"name":"75 Years of Mathematics of\n Computation","volume":"54 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"121462096","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 6
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