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MOC
1998
106views more  MOC 1998»
14 years 9 months ago
Computations of class numbers of real quadratic fields
In this paper an unconditional probabilistic algorithm to compute the class number of a real quadratic field Q( √ d) is presented, which computes the class number in expected ti...
Anitha Srinivasan
MOC
1998
126views more  MOC 1998»
14 years 9 months ago
Implicit-explicit multistep finite element methods for nonlinear parabolic problems
We approximate the solution of initial boundary value problems for nonlinear parabolic equations. In space we discretize by finite element methods. The discretization in time is b...
Georgios Akrivis, Michel Crouzeix, Charalambos Mak...
MOC
1998
80views more  MOC 1998»
14 years 9 months ago
Fast evaluation of multiple zeta sums
We show that the multiple zeta sum: ζ(s1, s2, ..., sd) = n1>n2>...>nd 1 ns1 1 ns2 2 ...n sd d , for positive integers si with s1 > 1, can always be written as a finit...
Richard E. Crandall
MOC
1998
65views more  MOC 1998»
14 years 9 months ago
Solving constrained Pell equations
Consider the system of Diophantine equations x2 − ay2 = b, P (x, y) = z2, where P is a given integer polynomial. Historically, such systems have been analyzed by using Baker’s ...
Kiran S. Kedlaya
MOC
1998
71views more  MOC 1998»
14 years 9 months ago
Factorizing complex symmetric matrices with positive definite real and imaginary parts
Complex symmetric matrices whose real and imaginary parts are positive definite are shown to have a growth factor bounded by 2 for LU factorization. This result adds to the classe...
Nicholas J. Higham