{"title":"超椭圆曲线偶次模型的Coleman积分","authors":"Jennifer S. Balakrishnan","doi":"10.1112/S1461157015000029","DOIUrl":null,"url":null,"abstract":"The Coleman integral is a p-adic line integral that encapsulates various quantities of number theoretic interest. Building on the work of Har- rison (11), we extend the Coleman integration algorithms in (3), (1) to even degree models of hyperelliptic curves. We illustrate our methods with numer- ical examples computed in Sage.","PeriodicalId":54381,"journal":{"name":"Lms Journal of Computation and Mathematics","volume":"18 1","pages":"258-265"},"PeriodicalIF":0.0000,"publicationDate":"2015-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1112/S1461157015000029","citationCount":"13","resultStr":"{\"title\":\"COLEMAN INTEGRATION FOR EVEN DEGREE MODELS OF HYPERELLIPTIC CURVES\",\"authors\":\"Jennifer S. Balakrishnan\",\"doi\":\"10.1112/S1461157015000029\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"The Coleman integral is a p-adic line integral that encapsulates various quantities of number theoretic interest. Building on the work of Har- rison (11), we extend the Coleman integration algorithms in (3), (1) to even degree models of hyperelliptic curves. We illustrate our methods with numer- ical examples computed in Sage.\",\"PeriodicalId\":54381,\"journal\":{\"name\":\"Lms Journal of Computation and Mathematics\",\"volume\":\"18 1\",\"pages\":\"258-265\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2015-01-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"https://sci-hub-pdf.com/10.1112/S1461157015000029\",\"citationCount\":\"13\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Lms Journal of Computation and Mathematics\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1112/S1461157015000029\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q1\",\"JCRName\":\"Mathematics\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Lms Journal of Computation and Mathematics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1112/S1461157015000029","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"Mathematics","Score":null,"Total":0}
COLEMAN INTEGRATION FOR EVEN DEGREE MODELS OF HYPERELLIPTIC CURVES
The Coleman integral is a p-adic line integral that encapsulates various quantities of number theoretic interest. Building on the work of Har- rison (11), we extend the Coleman integration algorithms in (3), (1) to even degree models of hyperelliptic curves. We illustrate our methods with numer- ical examples computed in Sage.
期刊介绍：
LMS Journal of Computation and Mathematics has ceased publication. Its final volume is Volume 20 (2017). LMS Journal of Computation and Mathematics is an electronic-only resource that comprises papers on the computational aspects of mathematics, mathematical aspects of computation, and papers in mathematics which benefit from having been published electronically. The journal is refereed to the same high standard as the established LMS journals, and carries a commitment from the LMS to keep it archived into the indefinite future. Access is free until further notice.
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