MoebiusMu (Built-in Mathematica Symbol)

MoebiusMu[n] gives the Möbius function \[Mu](n).

IntegerLength (Built-in Mathematica Symbol)

IntegerLength[n] gives the number of digits in the base 10 representation of the integer n.IntegerLength[n, b] gives the number of digits in the base b representation of n.

RegionPlot (Built-in Mathematica Symbol)

RegionPlot[pred, {x, x_min, x_max}, {y, y_min, y_max}] makes a plot showing the region in which pred is True.

Diophantine Polynomial Systems (Mathematica Tutorial)

A Diophantine polynomial system is an expression constructed with polynomial equations and inequalities combined using logical connectives and quantifiers where the variables ...

QuotientRemainder (Built-in Mathematica Symbol)

QuotientRemainder[m, n] gives a list of the quotient and remainder from division of m by n.

Parts of Expressions (Mathematica Tutorial)

Since lists are just a particular kind of expression, it will come as no surprise that you can refer to parts of any expression much as you refer to parts of a list. This ...

BitGet (Built-in Mathematica Symbol)

BitGet[n, k] gets the bit corresponding to the coefficient of 2^k in the integer n.

PrimitiveRoot (Built-in Mathematica Symbol)

PrimitiveRoot[n] gives the smallest primitive root of n.

NevilleThetaC (Built-in Mathematica Symbol)

NevilleThetaC[z, m] gives the Neville theta function \[CurlyTheta]_c (z \[VerticalSeparator] m).

BitSet (Built-in Mathematica Symbol)

BitSet[n, k] sets to 1 the bit corresponding to the coefficient of 2^k in the integer n.