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» Computation of unirational fields

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ANTS
2006
Springer

105views Algorithms» more ANTS 2006»

A Modular Method for Computing the Splitting Field of a Polynomial

13 years 11 months ago

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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

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STOC
2005
ACM

138views Algorithms» more STOC 2005»

Fast quantum algorithms for computing the unit group and class group of a number field

14 years 7 months ago

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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

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CHI
1995
ACM

146views Human Computer Interaction» more CHI 1995»

Applying Electric Field Sensing to Human-Computer Interfaces

13 years 11 months ago

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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...

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ANTS
2010
Springer

263views Algorithms» more ANTS 2010»

Computing Automorphic Forms on Shimura Curves over Fields with Arbitrary Class Number

13 years 10 months ago

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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

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ANTS
1998
Springer

112views Algorithms» more ANTS 1998»

Unit Computation in Purely Cubic Function Fields of Unit Rank 1

13 years 11 months ago