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Algorithmic Number Theory Book

Algorithmic Number Theory
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Algorithmic Number Theory, This book constitutes the refereed proceedings of the 6th International Algorithmic Number Theory Symposium, ANTS 2004, held in Burlington, VT, USA, in June 2004. The 30 revised full papers presented together with 3 invited papers were carefully review, Algorithmic Number Theory
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  • Algorithmic Number Theory
  • Written by author Duncan Buell
  • Published by Springer, 2004/06/01
  • This book constitutes the refereed proceedings of the 6th International Algorithmic Number Theory Symposium, ANTS 2004, held in Burlington, VT, USA, in June 2004. The 30 revised full papers presented together with 3 invited papers were carefully review
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Authors

Computing zeta functions via p-adic cohomology 1
Using primitive subgroups to do more with fewer bits 18
Elliptic curves of large rank and small conductor 42
Binary GCD like algorithms for some complex quadratic rings 57
On the complexity of computing units in a number field 72
Implementing the arithmetic of C[subscript 3,4] curves 87
Pseudocubes and primality testing 102
Elliptic curves with a given number of points 117
Rational divisors in rational divisor classes 132
Conjectures about discriminants of Hecke algebras of prime level 140
Montgomery scalar multiplication for genus 2 curves 153
Improved Weil and Tate pairings for elliptic and hyperelliptic curves 169
Elliptic curves x[superscript 3] + y[superscript 3] = k of high rank 184
Proving the primality of very large numbers with fastECPP 194
A low-memory parallel version of Matsuo, Chao, and Tsujii's algorithm 208
Function field sieve in characteristic three 223
A comparison of CEILIDH and XTR 235
Stable models of elliptic curves, ring class fields, and complex multiplication 250
An algorithm for computing isomorphisms of algebraic function fields 263
A method to solve cyclotomic norm equations f * [actual symbol not reproducible] 272
Imaginary cyclic quartic fields with large minus class numbers 280
Nonic 3-adic fields 293
Montgomery addition for genus two curves 309
Numerical evaluation at negative integers of the Dedekind zeta functions of totally real cubic number fields 318
Salem numbers of trace -2 and traces of totally positive algebraic integers 327
Low-dimensional lattice basis reduction revisited 338
Computing order statistics in the Farey sequence 358
The discrete logarithm in logarithmic l-class groups and its applications in K-theory 367
Point counting on genus 3 non hyperelliptic curves 379
Algorithmic aspects of cubic function fields 395
A binary recursive Gcd algorithm 411
Lagrange resolvents constructed from Stark units 426
Cryptanalysis of a divisor class group based public-key cryptosystem 442


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Algorithmic Number Theory, This book constitutes the refereed proceedings of the 6th International Algorithmic Number Theory Symposium, ANTS 2004, held in Burlington, VT, USA, in June 2004.
The 30 revised full papers presented together with 3 invited papers were carefully review, Algorithmic Number Theory

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Algorithmic Number Theory, This book constitutes the refereed proceedings of the 6th International Algorithmic Number Theory Symposium, ANTS 2004, held in Burlington, VT, USA, in June 2004.
The 30 revised full papers presented together with 3 invited papers were carefully review, Algorithmic Number Theory

Algorithmic Number Theory

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Algorithmic Number Theory, This book constitutes the refereed proceedings of the 6th International Algorithmic Number Theory Symposium, ANTS 2004, held in Burlington, VT, USA, in June 2004.
The 30 revised full papers presented together with 3 invited papers were carefully review, Algorithmic Number Theory

Algorithmic Number Theory

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