Výsledky vyhledávání - "V Sutherland"

Akademický článek

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

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Akademický článek

The Intrauterine Bigatti Shaver System: An Alternative Option for Focal Retained Products of Conception

Autor: Neveta S. V. Sutherland, Hemashree Rajesh

Publikováno v: Case Reports in Obstetrics and Gynecology, Vol 2018 (2018)

The management of retained products of conception (RPOC) may be medical or surgical. Surgical options include blind curettage, ultrasound guided curettage, or curettage under direct vision via hysteroscopy. The definitive management of patients prese

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Akademický článek

COMPUTING IMAGES OF GALOIS REPRESENTATIONS ATTACHED TO ELLIPTIC CURVES

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

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Computing Classical Modular Forms

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

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

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adic images of Galois for elliptic curves over (and an appendix with John Voight)

Autor: Jeremy Rouse, Andrew V. Sutherland, David Zureick-Brown

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

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Counting points on smooth plane quartics

Autor: Edgar Costa, David Harvey, Andrew V. Sutherland

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

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Akademický článek

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Maps between curves and arithmetic obstructions

Autor: José Felipe Voloch, Andrew V. Sutherland

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

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On a question of Mordell

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

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

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Counting points on superelliptic curves in average polynomial time

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

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