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7 Notes. 8 References. ... In algebra and number theory, Wilson's theorem states that a natural number n > 1 is a prime number if and only if the product of all the ...
Euler's theorem; Wilson's theorem; Primitive root modulo n. Multiplicative order; ... Note: Computational number theory is also known as algorithmic number theory.
1. The class number of a number field is the cardinality of the ideal class group of the field. 2. In group theory, the class number is the number of conjugacy classes of a group. 3. Class number is the number of equivalence classes of binary quadratic forms of a given discriminant. 4. The class number problem. conductor
The use of complex analysis in number theory comes later: the work of Bernhard Riemann (1859) on the zeta function is the canonical starting point; [77] Jacobi's four-square theorem (1839), which predates it, belongs to an initially different strand that has by now taken a leading role in analytic number theory (modular forms).
The basic idea is simply that the vacuum expectation values of Wilson loops in Chern–Simons theory are link invariants because of the diffeomorphism-invariance of the theory. To calculate these expectation values, however, Witten needed to use the relation between Chern–Simons theory and a conformal field theory known as the Wess–Zumino ...
Hilbert–Waring theorem (number theory) Hilbert's irreducibility theorem (number theory) Hilbert's syzygy theorem (commutative algebra) Hilbert's theorem (differential geometry) Hilbert's theorem 90 (number theory) Hilbert projection theorem (convex analysis) Hille–Yosida theorem (functional analysis) Hindman's theorem (Ramsey theory) Hinge ...
Siegel's theorem on integral points; Six exponentials theorem; Skolem–Mahler–Lech theorem; Sophie Germain's theorem; Størmer's theorem; Subspace theorem; Sum of two squares theorem; Szemerédi's theorem
Alhazen solved problems involving congruences using what is now called Wilson's theorem. In his Opuscula, Alhazen considers the solution of a system of congruences, and gives two general methods of solution. His first method, the canonical method, involved Wilson's theorem, while his second method involved a version of the Chinese remainder ...