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FFA
2010
84views more  FFA 2010»
13 years 3 months ago
Additive functions for number systems in function fields
Let Fq be a finite field with q elements and p ∈ Fq[X, Y ]. In this paper we study properties of additive functions with respect to number systems which are defined in the rin...
Manfred G. Madritsch, Jörg M. Thuswaldner
BMCBI
2010
122views more  BMCBI 2010»
13 years 10 days ago
Functional enrichment analyses and construction of functional similarity networks with high confidence function prediction by PF
Background: A new paradigm of biological investigation takes advantage of technologies that produce large high throughput datasets, including genome sequences, interactions of pro...
Troy Hawkins, Meghana Chitale, Daisuke Kihara
MOC
2002
90views more  MOC 2002»
13 years 5 months ago
Explicit bounds and heuristics on class numbers in hyperelliptic function fields
Abstract. In this paper, we provide tight estimates for the divisor class number of hyperelliptic function fields. We extend the existing methods to any hyperelliptic function fiel...
Andreas Stein, Edlyn Teske
ISSAC
2009
Springer
269views Mathematics» more  ISSAC 2009»
13 years 12 months ago
On factorization of multivariate polynomials over algebraic number and function fields
We present an efficient algorithm for factoring a multivariate polynomial f ∈ L[x1, . . . , xv] where L is an algebraic function field with k ≥ 0 parameters t1, . . . , tk an...
Seyed Mohammad Mahdi Javadi, Michael B. Monagan
JCT
2008
67views more  JCT 2008»
13 years 5 months ago
On the number of directions determined by a pair of functions over a prime field
A three-dimensional analogue of the classical direction problem is proposed and an asymptotically sharp bound for the number of directions determined by a nonplanar set in AG(3, p)...
Simeon Ball, András Gács, Pét...