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Modular Arithmetic

Quotients and remainders, primitive roots, orders of residue classes, Euler's totient function, and more

MuPAD Functions

divInteger part of a quotient
modModulo operator
modpPositive modulo function
modsSymmetric modulo function
numlib::isquadresTest for quadratic residues
numlib::orderOrder of a residue class
numlib::primrootPrimitive roots
numlib::reconstructRationalRational number reconstruction
numlib::sqrtmodpSquare root of a quadratic residue modulo a prime
powermodCompute a modular power of a number or a polynomial
remRemainder after division


Modular Arithmetic

Computing the quotient and the remainder of the division of two integers is a common operation in number theory.

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