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ANTS
2006
Springer
105views Algorithms» more  ANTS 2006»
15 years 7 months ago
A Modular Method for Computing the Splitting Field of a Polynomial
We provide a modular method for computing the splitting field Kf of an integral polynomial f by suitable use of the byproduct of computation of its Galois group Gf by p-adic Staudu...
Guénaël Renault, Kazuhiro Yokoyama
148
Voted
STOC
2005
ACM
138views Algorithms» more  STOC 2005»
16 years 4 months ago
Fast quantum algorithms for computing the unit group and class group of a number field
Computing the unit group and class group of a number field are two of the main tasks in computational algebraic number theory. Factoring integers reduces to solving Pell's eq...
Sean Hallgren
CHI
1995
ACM
15 years 7 months ago
Applying Electric Field Sensing to Human-Computer Interfaces
A non-contact sensor based on the interaction of a person with electric fields for human-computer interface is investigated. Two sensing modes are explored: an external electric f...
Thomas G. Zimmerman, Joshua R. Smith, Joseph A. Pa...
ANTS
2010
Springer
263views Algorithms» more  ANTS 2010»
15 years 7 months ago
Computing Automorphic Forms on Shimura Curves over Fields with Arbitrary Class Number
We extend methods of Greenberg and the author to compute in the cohomology of a Shimura curve defined over a totally real field with arbitrary class number. Via the Jacquet-Langlan...
John Voight
ANTS
1998
Springer
112views Algorithms» more  ANTS 1998»
15 years 8 months ago
Unit Computation in Purely Cubic Function Fields of Unit Rank 1
Abstract. This paper describes a method for computing the fundamental unit and regulator of a purely cubic congruence function field of unit
Renate Scheidler, Andreas Stein