Wolfram Language & System 10.0 (2014)|Legacy Documentation

This is documentation for an earlier version of the Wolfram Language.View current documentation (Version 11.2)

Additive Number Theory

Building on its broad algorithmic and mathematical capabilities, the Wolfram Language provides a unique level of highly general and efficient support for additive number theory.


Integer Partitions

IntegerPartitions find restricted and unrestricted partitions of integers

PartitionsP  ▪  PartitionsQ

Representation in Terms of Powers

PowersRepresentations find representations of integers as sums of powers

SquaresR  ▪  FrobeniusNumber  ▪  FrobeniusSolve  ▪  Reduce  ▪  Solve

Summation-Related Operations

Sum, Product general symbolic sums and products

DirichletConvolve  ▪  DivisorSum  ▪  DiscreteConvolve

Arithmetic Functions »

PrimeOmega, PrimeNu number of distinct prime factors (with, without multiplicities)

Mod  ▪  EulerPhi  ▪  MoebiusMu  ▪  DivisorSigma  ▪  ...