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Complete Weight Enumerators of Generalized Doubly-Even Self-Dual Codes
Gabriele Nebe, H. -G. Quebbemann, E. M. Rains +1
For any q which is a power of 2 we describe a finite subgroup of the group of invertible complex q by q matrices under which the complete weight enumerators of generalized doubly-e…
Transformations of elliptic hypergometric integrals
Eric M. Rains
We prove a pair of transformations relating elliptic hypergeometric integrals of different dimensions, corresponding to the root systems BC_n and A_n; as a special case, we recover…
Dynamics of a family of piecewise-linear area-preserving plane maps II. Invariant circles
Jeffrey C. Lagarias, Eric M. Rains
This paper studies the behavior under iteration of the maps T_{ab}(x,y)=(F_{ab}(x)-y,x) of the plane R^2, in which F_{ab}(x)=ax if x>=0 and bx if x<0. The orbits under iteration co…
On the involutions fixing the class of a lattice
Heinz-Georg Quebbemann, Eric M. Rains
With any integral lattice Λin n-dimensional euclidean space we associate an elementary abelian 2-group I(λ) whose elements represent parts of the dual lattice that are similar to Λ…
Dynamics of a family of piecewise-linear area-preserving plane maps I. Rational rotation numbers
Jeffrey C. Lagarias, Eric Rains
This paper studies the behavior under iteration of the maps T_{ab}(x,y) = (F_{ab}(x)-y,x) of the plane R^2, in which F_{ab}(x)=ax if x>=0 and bx if x<0. The orbits under iteration…