Algorithmic Number Theory Book

Name: Algorithmic Number Theory, This book constitutes the refereed pro
Brand: Steidl Publishing
SKU: 9783540438632
Price: 117.81 USD
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Algorithmic Number Theory, This book constitutes the refereed proceedings of the 5th International Algorithmic Number Theory Symposium, ANTS-V, held in Sydney, Australia, in July 2002. The 34 revised full papers presented together with 5 invited papers have gone through a thoro, Algorithmic Number Theory

3 out of 5 stars based on 2 reviews

Algorithmic Number Theory
Written by author Claus Fieker
Published by Springer-Verlag New York, LLC, January 2008
This book constitutes the refereed proceedings of the 5th International Algorithmic Number Theory Symposium, ANTS-V, held in Sydney, Australia, in July 2002. The 34 revised full papers presented together with 5 invited papers have gone through a thoro
This book constitutes the refereed proceedings of the 5th International Algorithmic Number Theory Symposium, ANTS-V, held in Sydney, Australia, in July 2002.The 34 revised full papers presented together with 5 invited papers have gone through a thorou

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Gauss Composition and Generalizations 1
Elliptic Curves - The Crossroads of Theory and Computation 9
The Weil and Tate Pairings as Building Blocks for Public Key Cryptosystems 20
Using Elliptic Curves of Rank One towards the Undecidability of Hilbert's Tenth Problem over Rings of Algebraic Integers 33
On p-adic Point Counting Algorithms for Elliptic Curves over Finite Fields 43
On Arithmetically Equivalent Number Fields of Small Degree 67
A Survey of Discriminant Counting 80
A Higher-Rank Mersenne Problem 95
An Application of Siegel Modular Functions to Kronecker's Limit Formula 108
Computational Aspects of NUCOMP 120
Efficient Computation of Class Numbers of Real Abelian Number Fields 134
An Accelerated Buchmann Algorithm for Regulator Computation in Real Quadratic Fields 148
Some Genus 3 Curves with Many Points 163
Trinomials ax[superscript 7] + bx + c and ax[superscript 8] + bx + c with Galois Groups of Order 168 and 8 - 168 172
Computations on Modular Jacobian Surfaces 189
Integral Points on Punctured Abelian Surfaces 198
Genus 2 Curves with (3,3)-Split Jacobian and Large Automorphism Group 205
Transportable Modular Symbols and the Intersection Pairing 219
Action of Modular Correspondence around CM Points 234
Curves Dy[superscript 2] = x[superscript 3] - x of Odd Analytic Rank 244
Comparing Invariants for Class Fields of Imaginary Quadratic Fields 252
A Database of Elliptic Curves - First Report 267
Isogeny Volcanoes and the SEA Algorithm 276
Fast Elliptic Curve Point Counting Using Gaussian Normal Basis 292
An Extension of Kedlaya's Algorithm to Artin-Schreier Curves in Characteristic 2 308
Implementing the Tate Pairing 324
Smooth Orders and Cryptographic Applications 338
Chinese Remaindering for Algebraic Numbers in a Hidden Field 349
An Algorithm for Computing Weierstrass Points 357
New Optimal Tame Towers of Function Fields over Small Finite Fields 372
Periodic Continued Fractions in Elliptic Function Fields 390
Fixed Points and Two-Cycles of the Discrete Logarithm 405
Random Cayley Digraphs and the Discrete Logarithm 416
The Function Field Sieve Is Quite Special 431
MPQS with Three Large Primes 446
An Improved Baby Step Giant Step Algorithm for Point Counting of Hyperelliptic Curves over Finite Fields 461
Factoring N = pq[superscript 2] with the Elliptic Curve Method 475
A New Scheme for Computing with Algebraically Closed Fields 491
Additive Complexity and Roots of Polynomials over Number Fields and p-adic Fields 506
Author Index 517

Title: Algorithmic Number Theory

Manufacturer:

Steidl Publishing

Item Number: 9783540438632

Publication Date: January 2008

Number: 1

Product Description: Algorithmic Number Theory

Universal Product Code (UPC): 9783540438632

WonderClub Stock Keeping Unit (WSKU): 9783540438632

Rating: 3/5 based on 2 Reviews

Image Location: https://wonderclub.com/images/covers/86/32/9783540438632.jpg

Category: Media >> Books

Weight: 0.200 kg (0.44 lbs)

Width: 9.210 cm (3.63 inches)

Heigh : 6.140 cm (2.42 inches)

Depth: 1.070 cm (0.42 inches)

Date Added: August 25, 2020, Added By: Ross

Date Last Edited: August 25, 2020, Edited By: Ross

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reviewed Algorithmic Number Theory on November 12, 2010

Algorithmic Number Theory

Clear, concise, and convincing. Well written and extremely enjoyable.

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Algorithmic Number Theory, This book constitutes the refereed proceedings of the 5th International Algorithmic Number Theory Symposium, ANTS-V, held in Sydney, Australia, in July 2002.
The 34 revised full papers presented together with 5 invited papers have gone through a thoro, Algorithmic Number Theory

Add Algorithmic Number Theory, This book constitutes the refereed proceedings of the 5th International Algorithmic Number Theory Symposium, ANTS-V, held in Sydney, Australia, in July 2002. The 34 revised full papers presented together with 5 invited papers have gone through a thoro, Algorithmic Number Theory to the inventory that you are selling on WonderClub

Add Algorithmic Number Theory, This book constitutes the refereed proceedings of the 5th International Algorithmic Number Theory Symposium, ANTS-V, held in Sydney, Australia, in July 2002. The 34 revised full papers presented together with 5 invited papers have gone through a thoro, Algorithmic Number Theory to your collection on WonderClub

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	Gauss Composition and Generalizations	1
	Elliptic Curves - The Crossroads of Theory and Computation	9
	The Weil and Tate Pairings as Building Blocks for Public Key Cryptosystems	20
	Using Elliptic Curves of Rank One towards the Undecidability of Hilbert's Tenth Problem over Rings of Algebraic Integers	33
	On p-adic Point Counting Algorithms for Elliptic Curves over Finite Fields	43
	On Arithmetically Equivalent Number Fields of Small Degree	67
	A Survey of Discriminant Counting	80
	A Higher-Rank Mersenne Problem	95
	An Application of Siegel Modular Functions to Kronecker's Limit Formula	108
	Computational Aspects of NUCOMP	120
	Efficient Computation of Class Numbers of Real Abelian Number Fields	134
	An Accelerated Buchmann Algorithm for Regulator Computation in Real Quadratic Fields	148
	Some Genus 3 Curves with Many Points	163
	Trinomials ax[superscript 7] + bx + c and ax[superscript 8] + bx + c with Galois Groups of Order 168 and 8 - 168	172
	Computations on Modular Jacobian Surfaces	189
	Integral Points on Punctured Abelian Surfaces	198
	Genus 2 Curves with (3,3)-Split Jacobian and Large Automorphism Group	205
	Transportable Modular Symbols and the Intersection Pairing	219
	Action of Modular Correspondence around CM Points	234
	Curves Dy[superscript 2] = x[superscript 3] - x of Odd Analytic Rank	244
	Comparing Invariants for Class Fields of Imaginary Quadratic Fields	252
	A Database of Elliptic Curves - First Report	267
	Isogeny Volcanoes and the SEA Algorithm	276
	Fast Elliptic Curve Point Counting Using Gaussian Normal Basis	292
	An Extension of Kedlaya's Algorithm to Artin-Schreier Curves in Characteristic 2	308
	Implementing the Tate Pairing	324
	Smooth Orders and Cryptographic Applications	338
	Chinese Remaindering for Algebraic Numbers in a Hidden Field	349
	An Algorithm for Computing Weierstrass Points	357
	New Optimal Tame Towers of Function Fields over Small Finite Fields	372
	Periodic Continued Fractions in Elliptic Function Fields	390
	Fixed Points and Two-Cycles of the Discrete Logarithm	405
	Random Cayley Digraphs and the Discrete Logarithm	416
	The Function Field Sieve Is Quite Special	431
	MPQS with Three Large Primes	446
	An Improved Baby Step Giant Step Algorithm for Point Counting of Hyperelliptic Curves over Finite Fields	461
	Factoring N = pq[superscript 2] with the Elliptic Curve Method	475
	A New Scheme for Computing with Algebraically Closed Fields	491
	Additive Complexity and Roots of Polynomials over Number Fields and p-adic Fields	506
	Author Index	517