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» Derivation of Characteristic Formulae
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AAECC
2005
Springer
99views Algorithms» more  AAECC 2005»
15 years 1 months ago
Formulae for Arithmetic on Genus 2 Hyperelliptic Curves
The ideal class group of hyperelliptic curves can be used in cryptosystems based on the discrete logarithm problem. In this article we present explicit formulae to perform the gro...
Tanja Lange
CDC
2008
IEEE
117views Control Systems» more  CDC 2008»
15 years 8 months ago
A hopf-algebraic formula for compositions of noncommuting flows
Abstract— The Chen-Fliess series is known to be an exponential Lie series. Previously explicit formulas for the iterated integral coefficients were known only for its factorizat...
Eric Gehrig, Matthias Kawski
108
Voted
EJC
2008
15 years 1 months ago
On Postnikov's hook length formula for binary trees
We present a combinatorial proof of Postnikov's hook length formula for binary trees. c 2007 Elsevier Ltd. All rights reserved. Let [n] = {1, 2, . . . , n}. It is well known ...
William Y. C. Chen, Laura L. M. Yang
108
Voted
CPHYSICS
2010
195views more  CPHYSICS 2010»
15 years 1 months ago
Fast spherical Bessel transform via fast Fourier transform and recurrence formula
We propose a new method for the numerical evaluation of the spherical Bessel transform. A formula is derived for the transform by using an integral representation of the spherical...
Masayuki Toyoda, Taisuke Ozaki
JCT
2008
103views more  JCT 2008»
15 years 1 months ago
A bijective proof of Jackson's formula for the number of factorizations of a cycle
Factorizations of the cyclic permutation (1 2 . . . N) into two permutations with respectively n and m cycles, or, equivalently, unicellular bicolored maps with N edges and n whit...
Gilles Schaeffer, Ekaterina A. Vassilieva