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» Class number bounds and Catalan's equation
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MOC
1998
106views more  MOC 1998»
13 years 10 months ago
Class number bounds and Catalan's equation
We improve a criterion of Inkeri and show that if there is a solution to Catalan’s equation xp − yq = ±1,(1) with p and q prime numbers greater than 3 and both congruent to 3 ...
Ray Steiner
IJBC
2006
91views more  IJBC 2006»
13 years 11 months ago
Limit Cycles for Generalized Abel Equations
This paper deals with the problem of finding upper bounds on the number of periodic solutions of a class of one-dimensional non-autonomous differential equations: those with the r...
Armengol Gasull, Antoni Guillamon
COMGEO
2010
ACM
13 years 11 months ago
Mixed volume techniques for embeddings of Laman graphs
We use Bernstein's Theorem [1] to obtain combinatorial bounds for the number of embeddings of Laman graph frameworks modulo rigid motions. For this, we study the mixed volume...
Reinhard Steffens, Thorsten Theobald
TCS
2008
13 years 11 months ago
On a quasi-ordering on Boolean functions
It was proved few years ago that classes of Boolean functions definable by means of functional equations [9], or equivalently, by means of relational constraints [16], coincide wit...
Miguel Couceiro, Maurice Pouzet
MOC
2000
76views more  MOC 2000»
13 years 10 months ago
Optimal approximation of stochastic differential equations by adaptive step-size control
We study the pathwise (strong) approximation of scalar stochastic differential equations with respect to the global error in the L2-norm. For equations with additive noise we estab...
Norbert Hofmann, Thomas Müller-Gronbach, Klau...