Pages in category "Algebraic number theory" AAbelian extensionAbhyankar's lemmaAbstract analytic number theoryAdditive polynomialAdele ringAdelic algebraic groupAlgebraic number fieldAlgebraic number theoryArithmetic and geometric FrobeniusArithmetic dynamicsArtin's conjecture on primitive rootsBBiquadratic fieldBrauer groupBrumer–Stark conjectureCCM-fieldCarlitz exponentialClass formationClass number formulaClass number problemCompatible system of ℓ-adic representationsConductor of an abelian varietyConductor-discriminant formulaCubic fieldCubic reciprocityCyclotomic characterCyclotomic fieldCyclotomic unitDDedekind domainDedekind zeta functionDifferent idealDiscriminantDiscriminant of an algebraic number fieldDrinfeld moduleEEisenstein reciprocityEisenstein sumElementary numberElliptic Gauss sumElliptic unitEquivariant L-functionEuler systemExplicit reciprocity lawFField normFinite extensions of local fieldsFontaine's period ringsFormal group lawFractional idealFrobenius endomorphismFundamental discriminantFundamental unit (number theory)GGalois cohomologyGalois extensionGalois moduleGenus characterGlobal fieldGreenberg's conjecturesGroup cohomologyHHasse invariant of an algebraHasse principleHeegner numberHeegner pointHeight functionHerbrand quotientHermite's problemHigher local fieldHilbert's ninth problemHilbert's twelfth problemIIdeal (ring theory)Ideal class groupIdeal normIntegerKKummer theoryLLazard's universal ringLeopoldt's conjectureList of algebraic number theory topicsList of number fields with class number oneLocal Euler characteristic formulaLocal FieldsLocal fieldLubin–Tate formal group lawMMaillet's determinantMinkowski space (number field)Modulus (algebraic number theory)Monogenic fieldNNarrow class groupNewton polygonNorm groupPP-adic Hodge theoryP-adic orderParshin chainPerfectoid spacePower residue symbolProfinite integerProofs of Fermat's theorem on sums of two squaresProofs of quadratic reciprocityQQuadratic fieldQuadratic integerQuadratic reciprocityQuartic reciprocityRRamification (mathematics)Ramification groupRational reciprocity lawReciprocity lawRegular primeRigid analytic spaceRing class fieldRing of integersSS-unitSerre's conjecture II (algebra)Skolem–Mahler–Lech theoremSplitting of prime ideals in Galois extensionsStark conjecturesStephens' constantSupersingular prime (for an elliptic curve)TTamagawa numberTate dualityTate's thesisTotally imaginary number fieldTotally real number fieldTwisted polynomial ringUUnique factorization domainUnit (ring theory)WWaldspurger formulaZZahlbericht