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MOC
2002
64views more  MOC 2002»
13 years 10 months ago
Two contradictory conjectures concerning Carmichael numbers
Erdos conjectured that there are x1-o(1) Carmichael numbers up to x, whereas Shanks was skeptical as to whether one might even find an x up to which there are more than x Carmicha...
Andrew Granville, Carl Pomerance
MOC
2002
132views more  MOC 2002»
13 years 10 months ago
Comparison of algorithms to calculate quadratic irregularity of prime numbers
In previous work, the author has extended the concept of regular and irregular primes to the setting of arbitrary totally real number fields k0, using the values of the zeta functi...
Joshua Holden
SIAMDM
2010
89views more  SIAMDM 2010»
13 years 5 months ago
Routing Numbers of Cycles, Complete Bipartite Graphs, and Hypercubes
The routing number rt(G) of a connected graph G is the minimum integer r so that every permutation of vertices can be routed in r steps by swapping the ends of disjoint edges. In t...
Wei-Tian Li, Linyuan Lu, Yiting Yang
MOC
2011
13 years 4 months ago
Class numbers of ray class fields of imaginary quadratic fields
Let K be an imaginary quadratic field with class number one and let p ⊂ OK be a degree one prime ideal of norm p not dividing 6dK . In this paper we generalize an algorithm of S...
Omer Kucuksakalli
APPROX
2011
Springer
284views Algorithms» more  APPROX 2011»
12 years 10 months ago
On Approximating the Number of Relevant Variables in a Function
In this work we consider the problem of approximating the number of relevant variables in a function given query access to the function. Since obtaining a multiplicative factor ap...
Dana Ron, Gilad Tsur