{“状态”:“确定”,“消息类型”:“工作”,“信息版本”:“1.0.0”,“邮件”:{“索引”:{-“日期-部件”:[[2024,4,7]],“日期-时间”:“2024-04-07T01:34:05Z”,“时间戳”:1712453645212},“参考-计数”:39,“发布者”:“威利”,“问题”:“A”,“许可证”:[{“开始”:{:“日期-零件”:[2016,8,26]],T00:00:00Z“,”时间戳“:1472169600000},“content-version”:“unspecified”,“delay-in-days”:238,“URL”:“https:\/\/www.cambridge.org\/core\/terms”}],“content-domain”:{“domain”:[],“crossmark-restriction”:false},“short-container-title”:[“LMS J.Compute.Math.”],“published-print”:{“date-parts”:[[2016]]},”abstract“:”$C\/\mathbf{Q}$<\/jats:tex-math><\/jax:alternatives></jats:inline-formula>是亏格三的曲线,作为平面二次曲线的双重覆盖给出。这样的曲线是超椭圆的代数闭包$\\mathbf{Q}$<\/jats:tex-math>$\\mathbf{Q}$<\/jats:tex-math><\/jax:alternatives><\.jats:inline-formula>。我们描述了一种计算局部zeta函数的算法$C$<\/jats:tex-math><\/jax:alternatives><\/jats:inline-formula>在所有好约简的奇素数上达到规定的界限$N$<\/jats:tex-math><\/jax:alternatives><\.jats:inline-formula>。该算法依赖于\u2018累积余数树\u2019对二次域中具有条目的矩阵的自适应。我们报告了一个实现,并将其性能与普通超椭圆情况下的先前算法进行了比较<\/jats:p>“,”DOI“:”10.1112\/s1461157016000383“,”type“:”journal-article“,”created“:{”date-parts“:[[2016,8,26]],”date-time“:”2016-08-26T11:30:35Z“,”timestamp“:1472211035000},”page“:,“卷”:“19”,“author“:[{”given“:”David“,”family“:”Harvey“,”sequence“:”first“,”affiliation“:[]},{”fixed“:”Maike“,”家族“:”Massirer“,“sequence”:”additional“,”abfiliation”:[]{“given”:“Andrew V.”,“family”:“Sutherland”,”segment“:”additive“,“affiliance”:[],“member”:“311”,“published 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L-函数和模块化形式数据库\u2019,网站http:\/\/www.lmfdb.org.“},{“key”:“S1461157016000383_r22”,“首页”:“257”,“卷标题”:“算法数论第十一届国际研讨会(ANTS XI),Vol.\u00a017”,“作者”:“Harvey”,“年份”:“2014”},{“key”:“S1461157016000383_r13”,“doi-asserted-by“:”publisher“,”doi“:”10.1007\/978-3-540-79456-1_23“},{“key”:“S14615701600383_r16”,“doi-assert-by”:“publisher”,“doi”:“10.4007\/annals.2010.171.779”},}“key”:”S146157011000383_r 7“,”doi-asserted-by“_r32“,”非结构化“:”32。D.\u00a0J。\u00a0M。Morales,\u2018具有实数表示的超椭圆曲线的高效算法\u2019,伦敦大学皇家霍洛韦和贝德福德新学院博士论文,2008年,在线阅读:https:\/\/www.math.auckland.ac.nz\/\u223csgal018\/Dave-Mireles-Full.pdf。“},{”key“:”S146157016000383_r19“,”doi-asserted-by“:”publisher“,”doi“:”10.4007\/annals.2014.179.2.7“}”,{“key”:“S146115001600383_r34”,“unstructured”:“34.”。W.\u00a0A。Stein,\u2018Sage Mathematics Software(Version 6.8)\u2019,The Sage Development Team,2015,http:\/\/wwww.sagemath.org.“},{“key”:“S1461157016000383_r24”,“文章标题”:“关于非泛型阿贝尔曲面的Sato\u2013Tate猜想,附Francesc 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