Arithmetic Geometry, Number Theory, and Computation. 1st ed. 2021

フォーマット:

電子ブック

責任表示:

edited by Jennifer S. Balakrishnan, Noam Elkies, Brendan Hassett, Bjorn Poonen, Andrew V. Sutherland, John Voight

言語:

英語

出版情報:

Cham : Springer International Publishing : Imprint: Springer, 2021

形態:

X, 587 p. 48 illus., 36 illus. in color : online resource

著者名:

Balakrishnan, Jennifer S.

Elkies, Noam

Hassett, Brendan

Poonen, Bjorn

Sutherland, Andrew V.

Voight, John

SpringerLink (Online service)

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シリーズ名:

Simons Symposia ;

目次情報:

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. Gajović)
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 étale covers and Skolem's method (B. Poonen)

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)

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書誌ID:

IT00017411

ISBN:

9783030809140 [3030809145]      
9783030809164 [3030809161]