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Let L denote the n×n square lattice with wraparound. Call an orientation of L an assignment of a direction to each edge of L, and denote the number of orientations of L such ...

Consider h_+(d) proper equivalence classes of forms with discriminant d equal to the field discriminant, then they can be subdivided equally into 2^(r-1) genera of ...

The order of a finite field is the number of elements it contains.

Consider the plane quartic curve X defined by x^3y+y^3z+z^3x=0, where homogeneous coordinates have been used here so that z can be considered a parameter (the plot above ...

The determination of the number of alternating permutations having elements {1,2,...,n}.

A shuffling algorithm used in a class of random number generators.

The symbol "-" which is used to denote a negative number or subtraction.

Direct sums are defined for a number of different sorts of mathematical objects, including subspaces, matrices, modules, and groups. The matrix direct sum is defined by ...

The number of poles of an automorphic function in the closure of its fundamental region.

A circle-preserving transformation composed of an odd number of inversions.