MathieuS (Built-in Mathematica Symbol)

MathieuS[a, q, z] gives the odd Mathieu function with characteristic value a and parameter q.

MoebiusMu (Built-in Mathematica Symbol)

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

NevilleThetaC (Built-in Mathematica Symbol)

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

ParabolicCylinderD (Built-in Mathematica Symbol)

ParabolicCylinderD[\[Nu], z] gives the parabolic cylinder function D_\[Nu] (z).

PartitionsP (Built-in Mathematica Symbol)

PartitionsP[n] gives the number p (n) of unrestricted partitions of the integer n.

PartitionsQ (Built-in Mathematica Symbol)

PartitionsQ[n] gives the number q (n) of partitions of the integer n into distinct parts.

PowerMod (Built-in Mathematica Symbol)

PowerMod[a, b, m] gives a^b mod m. PowerMod[a, -1, m] finds the modular inverse of a modulo m.PowerMod[a, 1/r, m] finds a modular r\[Null]^th root of a.

RamanujanTauL (Built-in Mathematica Symbol)

RamanujanTauL[s] gives the Ramanujan tau Dirichlet L-function L(s).

Round (Built-in Mathematica Symbol)

Round[x] gives the integer closest to x. Round[x, a] rounds to the nearest multiple of a.

Sinc (Built-in Mathematica Symbol)

Sinc[z] gives sinc(z).