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Let (K,|·|) be a valuated field. The valuation group G is defined to be the set G={|x|:x in K,x!=0}, with the group operation being multiplication. It is a subgroup of the ...

Let K be a field of field characteristic 0 (e.g., the rationals Q) and let {u_n} be a sequence of elements of K which satisfies a difference equation of the form ...

Exotic cohomology is a cohomology theory that extends index theory to a larger class of manifolds.

If m is an integer, then for every residue class r (mod m), there are infinitely many nonnegative integers n for which P(n)=r (mod m), where P(n) is the partition function P.

A conjecture which treats the heights of points relative to a canonical class of a curve defined over the integers.

A class of processes which attempt to round off a domain and simplify its theory by adjoining elements.

The term "characteristic" has many different uses in mathematics. In general, it refers to some property that inherently describes a given mathematical object, for example ...

The Stiefel-Whitney number is defined in terms of the Stiefel-Whitney class of a manifold as follows. For any collection of Stiefel-Whitney classes such that their cup ...

The number of data points which fall within a given class in a frequency distribution.

A clear-cut way of describing every object in a class in a one-to-one manner.