Revision #21 → #1000 · back to history
addedAlgebraic number theory257fa0ea74b2
addedTypical Diophantine problem74a9a5ff13b1
addedPythagorean triples solve x²+y²=z²70687a99390a
addedLinear Diophantine equations via Euclidean algorithm51e48e3ecbe3
addedFermat's Last Theoremf97cfb217545
addedFirst class number formula for quadratic formsa3dfc1f42c4d
addedDirichlet unit theorem5efc4c1507af
addedDirichlet's approximation theorem0271cdbf7bf1
addedDedekind's definition of an ideal0865ece82b05
addedArtin reciprocity law154ff64a72b5
addedModularity theoremefff3ecb2ffd
addedWiles' proof of modularity for semistable curves02722dd2a5e5
addedPrime element15229a3e4cc8
addedAssociate elementsd8aa31fd20be
addedUnique factorization domainb0199afeda40
addedTrivial ideal class group implies UFD432d006e3d9b
addedIrreducible element402a65f0e975
addedFailure of unique factorization in Z[√-5]5675e3910af4
addedUnique factorization into prime ideals (Dedekind domains)f5895b472c3b
addedNon-principal prime ideal (2, 1+√-5)7b4451ef7553
addedIdeal number1376c684330c
addedPrimes in Gaussian integers via sums of two squares1e0a9bf8196b
addedUnique factorization fails iff non-principal prime ideals exist83091ea5cf09
addedFractional ideal4844fba73938
addedIdeal class groupb44e703929a3
addedClass numberf7a3b6d350b2
addedClass number of Q(√-5) is 24af9b88c2a25
addedDivisor group1eeb7f496e04
addedKernel and cokernel of div378b4075cacd
addedReal and complex embeddings4e1637cfba27
addedReal quadratic fieldcef8f8bd5e43
addedImaginary quadratic field784738889f55
addedSignature of a number fieldf229f15e8114
addedr₁ + 2r₂ = d4a8a47e9e55d
addedMinkowski embedding4b32616bc257
addedMinkowski space5b128b57afb0
addedDiscriminantd77071bb0a22
addedp-adic absolute valueb689e8ee4b73
addedOstrowski's theoremc58d1e43c0bc
addedPlace of a number field48688279e17d
addedFinite and infinite places45a37a60677e
addedAdele ring225eaca58c0b
addedGeometric analogy for places at infinityf578a27d751b
addedFunction field of the projective line59b204ad938f
addedUnits in rings of integers92dc41cb2eff
addedUnit group is finitely generated abelian26096ef0826a
addedRegulatorc1af314d12a5
addedDedekind zeta function57fa8bcbdfba
addedCompletion at a place gives a complete field9ce6fa0d3919
addedKronecker–Weber theoremd826cde43f4b
addedFiniteness of the class group6edb41662fca
addedClass number (order of class group)e287bf3784de
addedDirichlet's unit theorem5cd96c5d8f8b
addedLaw of quadratic reciprocitye86ab7dd72d7
addedReciprocity law5501fe030b08
addedClass number formulaffe94fb01357