LogIntegral[z] is the logarithmic integral function li(z).
PolynomialReduce[poly, {poly_1, poly_2, ...}, {x_1, x_2, ...}] yields a list representing a reduction of poly in terms of the poly_i. The list has the form {{a_1, a_2, ...}, ...
A field is an algebraic structure obeying the rules of ordinary arithmetic. In particular, a field has binary operations of addition and multiplication, both of which are ...
Mathematica has many powerful features which enable you to solve many kinds of equations.
RecordLists is an option for ReadList that specifies whether objects from separate records should be returned in separate sublists.
The function FindRoot has a Jacobian option; the functions FindMinimum, FindMaximum, and FindFit have a Gradient option; and the "Newton" method has a method option Hessian. ...
GCD
(Built-in Mathematica Symbol) GCD[n_1, n_2, ...] gives the greatest common divisor of the n_i.
KroneckerSymbol[n, m] gives the Kronecker symbol (n/m).
PermutationLength[perm] returns the number of integers moved by the permutation perm.
RamanujanTauZ[t] gives the Ramanujan tau Z-function Z(t).