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標(biāo)題: Titlebook: Arithmetic Geometry, Number Theory, and Computation; Jennifer S. Balakrishnan,Noam Elkies,John Voight Conference proceedings 2021 The Edit [打印本頁(yè)]

作者: Nutraceutical    時(shí)間: 2025-3-21 18:44
書(shū)目名稱(chēng)Arithmetic Geometry, Number Theory, and Computation影響因子(影響力)




書(shū)目名稱(chēng)Arithmetic Geometry, Number Theory, and Computation影響因子(影響力)學(xué)科排名




書(shū)目名稱(chēng)Arithmetic Geometry, Number Theory, and Computation網(wǎng)絡(luò)公開(kāi)度




書(shū)目名稱(chēng)Arithmetic Geometry, Number Theory, and Computation網(wǎng)絡(luò)公開(kāi)度學(xué)科排名




書(shū)目名稱(chēng)Arithmetic Geometry, Number Theory, and Computation被引頻次




書(shū)目名稱(chēng)Arithmetic Geometry, Number Theory, and Computation被引頻次學(xué)科排名




書(shū)目名稱(chēng)Arithmetic Geometry, Number Theory, and Computation年度引用




書(shū)目名稱(chēng)Arithmetic Geometry, Number Theory, and Computation年度引用學(xué)科排名




書(shū)目名稱(chēng)Arithmetic Geometry, Number Theory, and Computation讀者反饋




書(shū)目名稱(chēng)Arithmetic Geometry, Number Theory, and Computation讀者反饋學(xué)科排名





作者: Generator    時(shí)間: 2025-3-21 21:39
Arithmetic Geometry, Number Theory, and Computation
作者: braggadocio    時(shí)間: 2025-3-22 01:07

作者: 空中    時(shí)間: 2025-3-22 05:54

作者: 壟斷    時(shí)間: 2025-3-22 12:06
Expert C# 2005 Business Objects size of the residue field, bringing the runtime in line with that of the corresponding zeta function algorithms. We also describe the implementation of this algorithm in Nemo, a new package for the Julia programming language, which adds functionality for computational number theory. We compare Nemo with other systems in use in this area.
作者: 態(tài)度暖昧    時(shí)間: 2025-3-22 16:24

作者: 跟隨    時(shí)間: 2025-3-22 20:53
2365-9564 tersection of arithmetic geometry and data scienceThis volume contains articles related to the work of the Simons Collaboration “Arithmetic Geometry, Number Theory, and Computation.” The papers present mathematical results and algorithms necessary for the development of large-scale databases like th
作者: 和平主義者    時(shí)間: 2025-3-22 22:30

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作者: nephritis    時(shí)間: 2025-3-23 07:46

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作者: chemical-peel    時(shí)間: 2025-3-23 16:57

作者: expire    時(shí)間: 2025-3-23 19:51
Elliptic Curves with Good Reduction Outside of the First Six Primes,e computation time to conclude. We present data on the distribution of various quantities associated to curves in the set. We also discuss the connection to .-unit equations and the existence of rational elliptic curves with maximal conductor.
作者: FLAG    時(shí)間: 2025-3-23 22:26

作者: Project    時(shí)間: 2025-3-24 05:31
Restrictions on Weil Polynomials of Jacobians of Hyperelliptic Curves, particular form modulo 2. For fixed .?≥?1, the proportion of isogeny classes of .-dimensional abelian varieties defined over . which fail this condition is 1???.(2.?+?2)∕2. as .?→. ranges over odd prime powers, where .(.) denotes the number of partitions of . into odd parts.
作者: GREG    時(shí)間: 2025-3-24 07:58
Effective Obstruction to Lifting Tate Classes from Positive Characteristic,ur method relies only on a single prime reduction and gives the possibility of cutting down on the dimension of Tate classes by two or more. The obstruction map comes from .-adic variational Hodge conjecture and we rely on the recent advancement by Bloch–Esnault–Kerz to interpret our bounds.
作者: constellation    時(shí)間: 2025-3-24 11:20
Conjecture: 100% of Elliptic Surfaces Over , have Rank Zero,tify this conjecture. We then discuss how it would follow from either understanding of certain .-functions, or from understanding of the local behaviour of the surfaces. Finally, we make a conjecture about ranks of elliptic surfaces over finite fields, and highlight some experimental evidence supporting it.
作者: Medley    時(shí)間: 2025-3-24 15:49
A Robust Implementation for Solving the ,-Unit Equation and Several Applications,rove an asymptotic version of Fermat’s Last Theorem for totally real cubic number fields with bounded discriminant where 2 is totally ramified. In addition, we use the implementation to find all solutions to some cubic Ramanujan-Nagell equations.
作者: Fortify    時(shí)間: 2025-3-24 20:46

作者: charisma    時(shí)間: 2025-3-25 00:15
Conference proceedings 2021ite fields. The articles also explore examples important for future research..Specific topics include.● algebraic varieties over finite fields.● the Chabauty-Coleman method.● modular forms.● rational points on curves of small genus.● S-unit equations and integral points..
作者: Friction    時(shí)間: 2025-3-25 03:43
Conference proceedings 2021t mathematical results and algorithms necessary for the development of large-scale databases like the L-functions and Modular Forms Database (LMFDB). The authors?aim to develop systematic tools for analyzing Diophantine properties of curves, surfaces, and abelian varieties over number fields and fin
作者: 檔案    時(shí)間: 2025-3-25 11:34
A Robust Implementation for Solving the ,-Unit Equation and Several Applications,n .?+?.?=?1, . in the computer algebra package SageMath. This paper outlines the mathematical basis for the implementation. We discuss and reference the results of extensive computations, including exponent bounds for solutions in many fields of small degree for small sets .. As an application, we p
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作者: rectocele    時(shí)間: 2025-3-25 18:29

作者: 繁重    時(shí)間: 2025-3-25 21:18
Efficient Computation of BSD Invariants in Genus 2,ns and Modular Forms Database [.]. This report explains the improvements made to the implementation of the algorithm described in [.] that were needed to do the computation of the Tamagawa numbers and the real period in reasonable time. We also explain some of the more technical details of the algor
作者: 溝通    時(shí)間: 2025-3-26 03:20

作者: Ophthalmologist    時(shí)間: 2025-3-26 05:38
Zen and the Art of Database Maintenance,ining a mathematical database. In particular, we report on the transition of the . (LMFDB) between two database systems. We also highlight some of the improvements to the LMFDB that we have made as part of this transition.
作者: MIRE    時(shí)間: 2025-3-26 09:22

作者: 滋養(yǎng)    時(shí)間: 2025-3-26 13:32

作者: lethargy    時(shí)間: 2025-3-26 18:29
On Rational Bianchi Newforms and Abelian Surfaces with Quaternionic Multiplication, curves, but instead to abelian surfaces with quaternionic multiplication. Two of these examples exhibit a rather special kind of behaviour: we show they arise from twisted base change of a classical newform with nebentypus character of order 4 and eight inner twists.
作者: SOBER    時(shí)間: 2025-3-26 22:01
Computing Rational Points on Rank 0 Genus 3 Hyperelliptic Curves, Chabauty–Coleman method to find the zero set of a certain system of .-adic integrals, which is known to be finite and include the set of rational points .. We implemented an algorithm in Sage to carry out the Chabauty–Coleman method on a database of 5870 curves.
作者: guardianship    時(shí)間: 2025-3-27 03:12
Curves with Sharp Chabauty-Coleman Bound,al points if the rank condition is satisfied. We give numerous examples of genus two and rank one curves for which Coleman’s bound is sharp. Based on one of those curves, we construct an example of a curve of genus five whose rational points are determined using the descent method together with Cole
作者: right-atrium    時(shí)間: 2025-3-27 05:26

作者: palliative-care    時(shí)間: 2025-3-27 11:57
Linear Dependence Among Hecke Eigenvalues,n cuspidal eigenform. Our motivation lies in its algorithmic application. For any fixed positive integer ., the bound established here yields an algorithm that computes cuspidal Hecke eigenforms with a given weight . whose Hecke eigenvalues generate a number field of degree .. The resulting algorith
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作者: 鋪?zhàn)?nbsp;   時(shí)間: 2025-3-28 06:02

作者: 形上升才刺激    時(shí)間: 2025-3-28 10:06
Curves with Sharp Chabauty-Coleman Bound,al points if the rank condition is satisfied. We give numerous examples of genus two and rank one curves for which Coleman’s bound is sharp. Based on one of those curves, we construct an example of a curve of genus five whose rational points are determined using the descent method together with Coleman’s theorem.
作者: 宇宙你    時(shí)間: 2025-3-28 10:28
Linear Dependence Among Hecke Eigenvalues,n cuspidal eigenform. Our motivation lies in its algorithmic application. For any fixed positive integer ., the bound established here yields an algorithm that computes cuspidal Hecke eigenforms with a given weight . whose Hecke eigenvalues generate a number field of degree .. The resulting algorithm reduces to Cremona’s when .?=?1 and .?=?2.
作者: 逃避系列單詞    時(shí)間: 2025-3-28 14:49

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作者: 報(bào)復(fù)    時(shí)間: 2025-3-29 04:31

作者: Accessible    時(shí)間: 2025-3-29 09:41

作者: 帶子    時(shí)間: 2025-3-29 13:09
Expert C# 2005 Business Objects curves, but instead to abelian surfaces with quaternionic multiplication. Two of these examples exhibit a rather special kind of behaviour: we show they arise from twisted base change of a classical newform with nebentypus character of order 4 and eight inner twists.
作者: Peak-Bone-Mass    時(shí)間: 2025-3-29 16:45

作者: 緊張過(guò)度    時(shí)間: 2025-3-29 21:13

作者: atopic    時(shí)間: 2025-3-30 03:11
Persistence and the Data Portal,n cuspidal eigenform. Our motivation lies in its algorithmic application. For any fixed positive integer ., the bound established here yields an algorithm that computes cuspidal Hecke eigenforms with a given weight . whose Hecke eigenvalues generate a number field of degree .. The resulting algorithm reduces to Cremona’s when .?=?1 and .?=?2.
作者: 愛(ài)得痛了    時(shí)間: 2025-3-30 07:29
Object-Oriented Application Design, benefits and limitations of each technique. We then introduce a method of visualization that can take advantage of colormaps in Python’s . library, describe an implementation, and give more examples. Much of this discussion applies to general visualizations of complex-valued functions in the plane.
作者: Endometrium    時(shí)間: 2025-3-30 08:33
https://doi.org/10.1007/978-3-030-80914-0elliptic curves; subgroups; zeta functions; Hecke operators; Birch-Swinnerton-Dyer conjecture; Jacobians;
作者: 淘氣    時(shí)間: 2025-3-30 16:21
978-3-030-80916-4The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerl
作者: musicologist    時(shí)間: 2025-3-30 17:33
Implementing Remote Data Portal Hosts,n .?+?.?=?1, . in the computer algebra package SageMath. This paper outlines the mathematical basis for the implementation. We discuss and reference the results of extensive computations, including exponent bounds for solutions in many fields of small degree for small sets .. As an application, we p
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作者: Canvas    時(shí)間: 2025-3-31 02:40
Object-Oriented Application Design,ving the . and BSD conjectures that the database is likely to be the complete set of such curves. Moreover, proving completeness likely needs only more computation time to conclude. We present data on the distribution of various quantities associated to curves in the set. We also discuss the connect
作者: aesthetic    時(shí)間: 2025-3-31 06:23
https://doi.org/10.1007/978-1-4302-0144-1ns and Modular Forms Database [.]. This report explains the improvements made to the implementation of the algorithm described in [.] that were needed to do the computation of the Tamagawa numbers and the real period in reasonable time. We also explain some of the more technical details of the algor
作者: SYN    時(shí)間: 2025-3-31 10:51

作者: 沙草紙    時(shí)間: 2025-3-31 16:39

作者: 閑聊    時(shí)間: 2025-3-31 21:33
Business Framework Implementation,es of a finite reduction. This gives an upper bound on the “middle Picard number” of the hypersurface. The improvement over existing methods is that our method relies only on a single prime reduction and gives the possibility of cutting down on the dimension of Tate classes by two or more. The obstr
作者: emission    時(shí)間: 2025-3-31 23:57
Business Framework Implementation,lliptic surfaces have rank 0 when ordered by the size of the coefficients of their Weierstrass equations, and present a probabilistic heuristic to justify this conjecture. We then discuss how it would follow from either understanding of certain .-functions, or from understanding of the local behavio
作者: GENRE    時(shí)間: 2025-4-1 05:53
Expert C# 2005 Business Objects curves, but instead to abelian surfaces with quaternionic multiplication. Two of these examples exhibit a rather special kind of behaviour: we show they arise from twisted base change of a classical newform with nebentypus character of order 4 and eight inner twists.
作者: 法律    時(shí)間: 2025-4-1 07:44

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