Zobrazeno 1 - 10
of 50
pro vyhledávání: '"Andrew V. Sutherland"'
Autor:
Andrew V. Sutherland
Publikováno v:
Discrete Analysis (2021)
Stronger arithmetic equivalence, Discrete Analysis 2021:23, 23 pp. An algebraic number field is a subfield $K$ of $\mathbb C$ that is finite-dimensional when considered as a vector space over $\mathbb Q$, which implies that every element of $K$ is a
Externí odkaz:
https://doaj.org/article/948d92633821476e97b6870cfc7e1365
Autor:
ANDREW V. SUTHERLAND
Publikováno v:
Forum of Mathematics, Sigma, Vol 4 (2016)
Let $E$ be an elliptic curve without complex multiplication (CM) over a number field $K$ , and let $G_{E}(\ell )$ be the image of the Galois representation induced by the action of the absolute Galois group of $K$ on the $\ell$ -torsion subgroup
Externí odkaz:
https://doaj.org/article/38de7cd5f1664e1585b2ce215ea86f15
Autor:
Alex J. Best, Jonathan Bober, Andrew R. Booker, Edgar Costa, John E. Cremona, Maarten Derickx, Min Lee, David Lowry-Duda, David Roe, Andrew V. Sutherland, John Voight
Publikováno v:
Best, A, Bober, J W, Booker, A R, Costa, E, Cremona, J, Derickx, M, Lee, M, Lowry-Duda, D, Roe, D, Sutherland, A & Voight, J 2022, Computing Classical Modular Forms . in Arithmetic Geometry, Number Theory, and Computation . 1 edn, Simons Symposia, Springer, pp. 131-213 . https://doi.org/10.1007/978-3-030-80914-0_4
Arithmetic Geometry, Number Theory, and Computation ISBN: 9783030809133
Arithmetic Geometry, Number Theory, and Computation ISBN: 9783030809133
We discuss practical and some theoretical aspects of computing a database of classical modular forms in the L-functions and modular forms database (LMFDB).
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::879c5a896458127637ff83559a899488
https://hdl.handle.net/1983/06c1c2b4-5d75-4edb-9d9f-fae622fc3bdb
https://hdl.handle.net/1983/06c1c2b4-5d75-4edb-9d9f-fae622fc3bdb
Publikováno v:
Forum of Mathematics, Sigma. 10
We discuss the$\ell $-adic case of Mazur’s ‘Program B’ over$\mathbb {Q}$: the problem of classifying the possible images of$\ell $-adic Galois representations attached to elliptic curvesEover$\mathbb {Q}$, equivalently, classifying the rational
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::146a4a9c1100f26e5d10ba5b08d9208d
https://doi.org/10.1017/fms.2022.38
https://doi.org/10.1017/fms.2022.38
We present efficient algorithms for counting points on a smooth plane quartic curve $X$ modulo a prime $p$. We address both the case where $X$ is defined over $\mathbb F_p$ and the case where $X$ is defined over $\mathbb Q$ and $p$ is a prime of good
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::984b0ea5d8b29cf3a10a78a5b29f114c
Publikováno v:
Arithmetic Geometry: Computation and Applications. :167-175
Let X and Y be curves over a finite field. In this article we explore methods to determine whether there is a rational map from Y to X by considering L-functions of certain covers of X and Y and propose a specific family of covers to address the spec
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::7b9510d227d8d23ae6713f6a1780b607
https://doi.org/10.1090/conm/722/14532
https://doi.org/10.1090/conm/722/14532
Autor:
Andrew R. Booker, Andrew V. Sutherland
Publikováno v:
Booker, A R & Sutherland, A 2021, ' On a question of Mordell ', Proceedings of the National Academy of Sciences of the United States of America, vol. 118, no. 11, e2022377118 . https://doi.org/10.1073/pnas.2022377118
Proceedings of the National Academy of Sciences of the United States of America
Proceedings of the National Academy of Sciences of the United States of America
Significance A Diophantine equation is a polynomial equation to which one seeks solutions in integers. There is a notable disparity between the difficulty of stating Diophantine equations and that of solving them. This feature was formalized in the 2
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::7b25243c610cde789a2dd212603b13f8
https://research-information.bris.ac.uk/en/publications/a2538bef-ff6b-4e9d-8ca4-1f4bc767b604
https://research-information.bris.ac.uk/en/publications/a2538bef-ff6b-4e9d-8ca4-1f4bc767b604
Autor:
Andrew V. Sutherland
We describe the practical implementation of an average polynomial-time algorithm for counting points on superelliptic curves defined over $\mathbb Q$ that is substantially faster than previous approaches. Our algorithm takes as input a superelliptic
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::a65c1a65fec5af772b4862ea1c3ac808
Publikováno v:
Mathematics Online First Collections ISBN: 9783030771676
The site researchseminars.org provides a crowdsourced list of seminars and conferences happening worldwide. We describe the history of the site, its current scope, and its prospects for the future.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::0789e468bff68e5322cdaf710afb2c92
https://doi.org/10.1007/16618_2020_21
https://doi.org/10.1007/16618_2020_21
Autor:
Jennifer S. Balakrishnan, Noam Elkies, Brendan Hassett, Bjorn Poonen, Andrew V. Sutherland, John Voight
This 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 lik