Vol. 2, 2019

Download this issue
Download this issue For screen
For printing
Recent Volumes
2: ANTS XIII
1: ANTS X
The Open Book Series
About the Series
Ethics Statement
Other MSP Publications
Preface
vii–x

Renate Scheidler and Jonathan Sorenson

Counting points on genus-$3$ hyperelliptic curves with explicit real multiplication
1–19

Simon Abelard, Pierrick Gaudry and Pierre-Jean Spaenlehauer

Constructing Picard curves with complex multiplication using the Chinese remainder theorem
21–36

Sonny Arora and Kirsten Eisenträger

Computing zeta functions of cyclic covers in large characteristic
37–53

Vishal Arul, Alex J. Best, Edgar Costa, Richard Magner and Nicholas Triantafillou

Computing normalizers of tiled orders in $M_n(k)$
55–68

Angelica Babei

Computation of triangular integral bases
69–84

Jens-Dietrich Bauch and Ha Thanh Nguyen Tran

Explicit Coleman integration in larger characteristic
85–102

Alex J. Best

Fast multiquadratic $S$-unit computation and application to the calculation of class groups
103–118

Jean-François Biasse and Christine Van Vredendaal

Fast coefficient computation for algebraic power series in positive characteristic
119–135

Alin Bostan, Xavier Caruso, Gilles Christol and Philippe Dumas

Explicit computations in Iwasawa theory
137–153

Reinier Bröker, David Hubbard and Lawrence C. Washington

Numerical computation of endomorphism rings of Jacobians
155–171

Nils Bruin, Jeroen Sijsling and Alexandre Zotine

Ranks, $2$-Selmer groups, and Tamagawa numbers of elliptic curves with $\mathbb{Z}/2\mathbb{Z} \times \mathbb{Z}/8\mathbb{Z}$-torsion
173–189

Stephanie Chan, Jeroen Hanselman and Wanlin Li

Counting roots for polynomials modulo prime powers
191–205

Qi Cheng, Shuhong Gao, J. Maurice Rojas and Daqing Wan

Analytic evaluation of Hecke eigenvalues for Siegel modular forms of degree two
207–220

Owen Colman, Alexandru Ghitza and Nathan C. Ryan

Zeta functions of nondegenerate hypersurfaces in toric varieties via controlled reduction in $p$-adic cohomology
221–238

Edgar Costa, David Harvey and Kiran S. Kedlaya

On the construction of class fields
239–255

Claus Fieker, Tommy Hofmann and Carlo Sircana

Principally polarized squares of elliptic curves with field of moduli equal to $\mathbb Q$
257–274

Alexandre Gélin, Everett W. Howe and Christophe Ritzenthaler

Higher-dimensional sieving for the number field sieve algorithms
275–291

Laurent Grémy

Faster integer multiplication using short lattice vectors
293–310

David Harvey and Joris van der Hoeven

Cyclic extensions of prime degree and their $p$-adic regulators
311–323

Tommy Hofmann and Yinan Zhang

Mod-2 dihedral Galois representations of prime conductor
325–342

Kiran S. Kedlaya and Anna Medvedovsky

A new perspective on the powers of two descent for discrete logarithms in finite fields
343–352

Thorsten Kleinjung and Benjamin Wesolowski

Arithmetic statistics of Galois groups
353–374

David Kohel

A database of Belyi maps
375–392

Michael Musty, Sam Schiavone, Jeroen Sijsling and John Voight

The inverse Galois problem for $p$-adic fields
393–409

David Roe

Fast tabulation of challenge pseudoprimes
411–423

Andrew Shallue and Jonathan Webster

Fast Jacobian arithmetic for hyperelliptic curves of genus 3
425–442

Andrew V. Sutherland

A database of nonhyperelliptic genus-3 curves over $\mathbb{Q}$
443–459

Andrew V. Sutherland

Generating subgroups of ray class groups with small prime ideals
461–478

Benjamin Wesolowski