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MOC
2002
62views more  MOC 2002»
14 years 9 months ago
Landen transformations and the integration of rational functions
Abstract. We present a rational version of the classical Landen transformation for elliptic integrals. This is employed to obtain explicit closed-form expressions for a large class...
George Boros, Victor H. Moll
MOC
2002
58views more  MOC 2002»
14 years 9 months ago
Kirkman triple systems of order 21 with nontrivial automorphism group
There are 50,024 Kirkman triple systems of order 21 admitting an automorphism of order 2. There are 13,280 Kirkman triple systems of order 21 admitting an automorphism of order 3. ...
Myra B. Cohen, Charles J. Colbourn, Lee A. Ives, A...
MOC
2002
149views more  MOC 2002»
14 years 9 months ago
Sparse squares of polynomials
We answer a question left open in an article of Coppersmith and Davenport which proved the existence of polynomials whose powers are sparse, and in particular polynomials whose squ...
John Abbott
MOC
2002
121views more  MOC 2002»
14 years 9 months ago
Computing discrete logarithms in high-genus hyperelliptic Jacobians in provably subexponential time
We provide a subexponential algorithm for solving the discrete logarithm problem in Jacobians of high-genus hyperelliptic curves over finite fields. Its expected running time for i...
Andreas Enge
MOC
2002
87views more  MOC 2002»
14 years 9 months ago
Finite SAGBI bases for polynomial invariants of conjugates of alternating groups
It is well-known, that the ring C[X1, . . . , Xn]An of polynomial invariants of the alternating group An has no finite SAGBI basis with respect to the lexicographical order for any...
Manfred Göbel