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ANTS X. Proceedings of the tenth algorithmic number theory symposium, San Diego, CA, USA, July 9–13, 2012. (English) Zbl 1295.11003
The Open Book Series 1. Berkeley, CA: Mathematical Sciences Publishers (MSP) (ISBN 978-1-935107-00-2/hbk; 978-1-935107-01-9/ebook). ix, 585 p. (2013).

Show indexed articles as search result.

The articles of this volume will be reviewed individually. For the preceding symposium see [Zbl 1196.11006].
Indexed articles:
Abatzoglou, Alexander; Silverberg, Alice; Sutherland, Andrew V.; Wong, Angela, Deterministic elliptic curve primality proving for a special sequence of numbers, 1-20 [Zbl 1344.11082]
Angelakis, Athanasios; Stevenhagen, Peter, Imaginary quadratic fields with isomorphic abelian Galois groups, 21-39 [Zbl 1344.11072]
Balakrishnan, Jennifer S., Iterated Coleman integration for hyperelliptic curves, 41-61 [Zbl 1344.11076]
Barbulescu, Razvan; Bos, Joppe W.; Bouvier, Cyril; Kleinjung, Thorsten; Montgomery, Peter L., Finding ECM-friendly curves through a study of Galois properties, 63-86 [Zbl 1344.11043]
Bernstein, Daniel J.; Lange, Tanja, Two grumpy giants and a baby, 87-111 [Zbl 1344.11083]
Biasse, Jean-François; Fieker, Claus, Improved techniques for computing the ideal class group and a system of fundamental units in number fields, 113-133 [Zbl 1344.11088]
Bober, Jonathan W., Conditionally bounding analytic ranks of elliptic curves, 135-144 [Zbl 1344.11044]
Bober, Jonathan; Deines, Alyson; Klages-Mundt, Ariah; LeVeque, Benjamin; Ohana, R. Andrew; Rabindranath, Ashwath; Sharaba, Paul; Stein, William, A database of elliptic curves over \(\mathbb Q(\sqrt{5})\): a first report, 145-166 [Zbl 1344.11045]
Bosma, Wieb; Smeets, Ionica, Finding simultaneous Diophantine approximations with prescribed quality, 167-185 [Zbl 1344.11050]
Bruin, Nils, Success and challenges in determining the rational points on curves, 187-212 [Zbl 1344.11048]
Castel, Pierre, Solving quadratic equations in dimension 5 or more without factoring, 213-233 [Zbl 1344.11031]
Cheng, Qi; Hill, Joshua E.; Wan, Daqing, Counting value sets: algorithm and complexity, 235-248 [Zbl 1344.11084]
Cohen, Henri, Haberland’s formula and numerical computation of Petersson scalar products, 249-270 [Zbl 1345.11029]
Cohn, Henry; Heninger, Nadia, Approximate common divisors via lattices, 271-293 [Zbl 1344.11085]
Creutz, Brendan, Explicit descent in the Picard group of a cyclic cover of the projective line, 295-315 [Zbl 1345.11036]
Ducet, Virgile; Fieker, Claus, Computing equations of curves with many points, 317-334 [Zbl 1345.11042]
Eisenträger, Kirsten; Hallgren, Sean, Computing the unit group, class group, and compact representations in algebraic function fields, 335-358 [Zbl 1345.11078]
Elkies, Noam D., The complex polynomials \(P(x)\) with \(\mathrm{Gal}(P(x)-t)\cong M_{23}\), 359-367 [Zbl 1334.12006]
Elsenhans, Andreas-Stephan; Jahnel, Jörg, Experiments with the transcendental Brauer-Manin obstruction, 369-394 [Zbl 1362.11063]
Fisher, Tom, Explicit 5-descent on elliptic curves, 395-411 [Zbl 1345.11035]
Keil, Stefan; Kloosterman, Remke, On the density of abelian surfaces with Tate-Shafarevich group of order five times a square, 413-435 [Zbl 1345.11037]
Lauter, Kristin E.; Robert, Damien, Improved CRT algorithm for class polynomials in genus 2, 437-461 [Zbl 1344.11046]
Lercier, Reynald; Ritzenthaler, Christophe; Sijsling, Jeroen, Fast computation of isomorphisms of hyperelliptic curves and explicit Galois descent, 463-486 [Zbl 1344.11049]
Paulhus, Jennifer, Elliptic factors in Jacobians of hyperelliptic curves with certain automorphism groups, 487-505 [Zbl 1327.14147]
Sutherland, Andrew V., Isogeny volcanoes, 507-530 [Zbl 1345.11044]
Sutherland, Andrew V., On the evaluation of modular polynomials, 531-555 [Zbl 1344.11087]
Weir, Colin; Scheidler, Renate; Howe, Everett W., Constructing and tabulating dihedral function fields, 557-585 [Zbl 1345.11079]

MSC:
11-06 Proceedings, conferences, collections, etc. pertaining to number theory
11Yxx Computational number theory
00B25 Proceedings of conferences of miscellaneous specific interest
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