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Chinese remainder theorem Quadratic reciprocity Fundamental theorem of arithmetic Lucas's theorem Sieve of sundaram Euclidean division Maschke's theorem Hensel's lemma Sum of two squares theorem Chen's theorem Euler's theorem Euler's criterion Dirichlet's approximation theorem Modular multiplicative inverse Kummer's theorem Arithmetic derivative Polynomial remainder theorem Local linearization method Partition Fermat's little theorem Pythagorean trigonometric identity Ramanujan prime Integer complexity Ramanujan's master theorem Prime number theorem Frobenius method Euler's formula Legendre's formula Lefschetz fixed-point theorem Aliquot sum Integration by parts Additive schwarz method Duhamel's principle Sieve of eratosthenes Power iteration Partial fraction decomposition Faulhaber's formula Prime element Parseval's identity Primorial Rational number Spectral element method Plancherel theorem Lagrange multiplier Sieve of pritchard Powerful number Prime-counting function Greatest common divisor Integer factorization Euler's continued fraction formula Extended euclidean algorithm Pythagorean addition Bareiss algorithm Abel's identity Partition problem Continued fraction Brahmagupta's formula Legendre's three-square theorem Fubini's theorem Summation by parts Geometric progression Hilbert's nullstellensatz Hurewicz theorem Perfect power Primary decomposition Pick's theorem Leibniz formula for determinants Multiplicative order Khintchine inequality Jacobi identity Pentagonal number theorem Algebraic combinatorics Rational root theorem Algebraic number theory Characteristic Dividing a circle into areas P-group Ostrowski's theorem Legendre's constant De moivre's formula Inverse function rule Divisor function Lagrange inversion theorem Factorization of polynomials Poisson summation formula Modulo operation Lagrange's four-square theorem Ruffini's rule Argument principle Clenshaw algorithm Euler's totient function Triple product rule Integer factorization records Pascal's rule Rational function Triangle inequality Diophantine equation Cyclotomic polynomial Residue number system Schubert calculus

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