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» The irreducibility of some level 1 Hecke polynomials
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MOC
2002
99views more  MOC 2002»
13 years 10 months ago
The irreducibility of some level 1 Hecke polynomials
Let Tp,k(x) be the characteristic polynomial of the Hecke operator Tp acting on the space of level 1 cusp forms Sk(1). We show that Tp,k(x) is irreducible and has full Galois group...
D. W. Farmer, K. James
ANTS
2004
Springer
90views Algorithms» more  ANTS 2004»
14 years 4 months ago
Conjectures about Discriminants of Hecke Algebras of Prime Level
In this paper, we study p-divisibility of discriminants of Hecke algebras associated to spaces of cusp forms of prime level. By considering cusp forms of weight bigger than 2, we a...
Frank Calegari, William A. Stein
STOC
1998
ACM
135views Algorithms» more  STOC 1998»
14 years 3 months ago
Checking Polynomial Identities over any Field: Towards a Derandomization?
We present a Monte Carlo algorithm for testing multivariate polynomial identities over any field using fewer random bits than other methods. To test if a polynomial P(x1 ::: xn) ...
Daniel Lewin, Salil P. Vadhan
CASC
2007
Springer
108views Mathematics» more  CASC 2007»
14 years 5 months ago
Comprehensive Triangular Decomposition
We introduce the concept of comprehensive triangular decomposition (CTD) for a parametric polynomial system F with coefficients in a field. In broad words, this is a finite part...
Changbo Chen, Oleg Golubitsky, François Lem...
CORR
2007
Springer
183views Education» more  CORR 2007»
13 years 11 months ago
A complete set of rotationally and translationally invariant features for images
We propose a new set of rotationally and translationally invariant features for image or pattern recognition and classification. The new features are cubic polynomials in the pix...
Risi Imre Kondor