MOC
1998
13 years 11 months ago
1998
By splitting a given singular function into a relatively smooth part and a specially structured singular part, it is shown how the traditional Fourier method can be modified to gi...
MOC
1998
13 years 11 months ago
1998
We prove that the two smallest values of h(α)+h( 1 1−α )+h(1− 1 α ) are 0 and 0.4218 . . . , for α any algebraic integer.
MOC
1998
13 years 11 months ago
1998
MOC
1998
13 years 11 months ago
1998
Abstract. Schoof’s algorithm computes the number m of points on an elliptic curve E defined over a finite field Fq. Schoof determines m modulo small primes using the character...
MOC
1998
13 years 11 months ago
1998
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...
MOC
1998
13 years 11 months ago
1998
We use the algorithmic computation of exact sequences of Abelian groups to compute the complete structure of (ZK /m)∗ for an ideal m of a number field K, as well as ray class gr...
MOC
1998
13 years 11 months ago
1998
Using isomorphism invariants, we enumerate the translation planes of order 49 and determine their automorphism groups.
MOC
1998
13 years 11 months ago
1998
Boundary integral methods to simulate interfacial flows are very sensitive to numerical instabilities. In addition, surface tension introduces nonlinear terms with high order spat...
MOC
1998
13 years 11 months ago
1998
MOC
1998
13 years 11 months ago
1998
Abstract. We discuss the numerical evaluation of a symmetric potential function which arises naturally in applications. We present a method designed to accurately and efficiently c...