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rho_(2s)(n)=(pi^s)/(Gamma(s))n^(s-1)sum_(p,q)((S_(p,q))/q)^(2s)e^(2nppii/q), where S_(p,q) is a Gaussian sum, and Gamma(s) is the gamma function.

A long division in which most or all of the digits are replaced by a symbol (usually asterisks) to form a cryptarithmetic.

A congruence that has a solution.

The continuous image of a Polish space, also called an analytic set.

Denoted sl_n.

The probability that a statistical test will be negative for a negative statistic.

The word "spectrum" confusingly has a number of unrelated meanings in various branches of mathematics.

The scalar |v|=ds/dt, where s is the arc length, equal to the magnitude of the velocity v.

A 4-sphere has positive curvature, with R^2=x^2+y^2+z^2+w^2 (1) 2x(dx)/(dw)+2y(dy)/(dw)+2z(dz)/(dw)+2w=0. (2) Since r=xx^^+yy^^+zz^^ (3) dw = -(xdx+ydy+zdz)/w (4) = ...

There are 14 families of spherical groups, which can be written in orbifold notation as *532, 532, *432, 432, *332, 3*2, 332, *22N, 2*N, 22N, *NN, N*, Nx, and NN.