Arithmetic geometry, number theory, and computation
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 like the L-functions and Modular Forms Database...
| Other Authors: | Balakrishnan, Jennifer S.,, Elkies, Noam, 1966-, Hassett, Brendan,, Poonen, Bjorn,, Sutherland, Andrew V., 1966-, Voight, John (Mathematician), SpringerLink (Online service) |
|---|---|
| Format: | eBook |
| Language: | English |
| Published: |
Cham, Switzerland :
Springer,
2021.
Cham, Switzerland : 2021. |
| Physical Description: |
1 online resource. |
| Series: |
Simons symposia.
|
| Subjects: |
| LEADER | 06325cam a2200973 a 4500 | ||
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| 245 | 0 | 0 | |a Arithmetic geometry, number theory, and computation / |c Jennifer S. Balakrishnan, Noam Elkies, Brendan Hassett, Bjorn Poonen, Andrew V. Sutherland, John Voight, editors. |
| 260 | |a Cham, Switzerland : |b Springer, |c 2021. | ||
| 264 | 1 | |a Cham, Switzerland : |b Springer, |c 2021. | |
| 300 | |a 1 online resource. | ||
| 336 | |a text |b txt |2 rdacontent. | ||
| 337 | |a computer |b c |2 rdamedia. | ||
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| 490 | 1 | |a Simons Symposia, |x 2365-9572. | |
| 505 | 0 | |a A robust implementation for solving the S-unit equation and several application (C. Rasmussen) -- Computing classical modular forms for arbitrary congruence subgroups (E. Assaf) -- Square root time Coleman integration on superelliptic curves (A. Best) -- Computing classical modular forms ( A. Sutherland) -- Elliptic curves with good reduction outside of the first six primes (B. Matschke) -- Efficient computation of BSD invariants in genus 2 (R. van Bommel) -- Restrictions on Weil polynomials of Jacobians of hyperelliptic curves (E. Costa) -- Zen and the art of database maintenance (D. Roe) -- Effective obstructions to lifting Tate classes from positive characteristic (E. Costa) -- Conjecture: 100% of elliptic surfaces over Q have rank zero (A. Cowan) -- On rational Bianchi newforms and abelian surfaces with quaternionic multiplication (J. Voight) -- A database of Hilbert modular forms (J. Voight) -- Isogeny classes of Abelian Varieties over Finite Fields in the LMFDB (D. Roe) -- Computing rational points on genus 3 hyperelliptic curves (S. Hashimoto) -- Curves with sharp Chabauty-Coleman bound (S. Gajovic) -- Chabauty-Coleman computations on rank 1 Picard curves (S. Hashimoto) -- Linear dependence among Hecke eigenvalues (D. Kim) -- Congruent number triangles with the same hypotenuse (D. Lowry-Duda) -- Visualizing modular forms (D. Lowry-Duda) -- A Prym variety with everywhere good reduction over Q( 61) ( J. Voight) -- The S-integral points on the projective line minus three points via etale covers and Skolem's method (B. Poonen). | |
| 520 | |a 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 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 finite 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. | ||
| 588 | 0 | |a Online resource; title from PDF title page (SpringerLink, viewed March 30, 2022). | |
| 650 | 0 | |a Arithmetical algebraic geometry. | |
| 650 | 0 | |a Number theory. | |
| 650 | 0 | |a Geometry, Algebraic. | |
| 650 | 2 | |a Electronic Data Processing. | |
| 650 | 6 | |a Géométrie algébrique. | |
| 650 | 6 | |a Théorie des nombres. | |
| 650 | 6 | |a Informatique. | |
| 650 | 6 | |a Géométrie algébrique arithmétique. | |
| 650 | 7 | |a Geometría algebraica. |2 embne. | |
| 650 | 0 | 7 | |a Geometría algebraica aritmética. |2 embucm. |
| 650 | 0 | 7 | |a Números , Teoría de. |2 embucm. |
| 650 | 7 | |a Geometry, Algebraic. |2 fast. | |
| 650 | 7 | |a Arithmetical algebraic geometry. |2 fast. | |
| 650 | 7 | |a Number theory. |2 fast. | |
| 650 | 7 | |a Geometria algebraica aritmètica. |2 thub. | |
| 650 | 7 | |a Teoria de nombres. |2 thub. | |
| 655 | 7 | |a Llibres electrònics. |2 thub. | |
| 700 | 1 | |a Balakrishnan, Jennifer S., |e editor. | |
| 700 | 1 | |a Elkies, Noam, |d 1966- |e editor. | |
| 700 | 1 | |a Hassett, Brendan, |e editor. | |
| 700 | 1 | |a Poonen, Bjorn, |e editor. | |
| 700 | 1 | |a Sutherland, Andrew V., |d 1966- |e editor. | |
| 700 | 1 | |a Voight, John |c (Mathematician) |1 https://id.oclc.org/worldcat/entity/E39PCjtVr46CjB8DxKPWHtKBKd, |e editor. | |
| 710 | 2 | |a SpringerLink (Online service) | |
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| 830 | 0 | |a Simons symposia. |x 2365-9572. | |
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