About the Book
Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. Pages: 99. Chapters: Integer, Algebraic number, Quadratic reciprocity, Discriminant, Ideal class group, Local field, Dedekind domain, Algebraic integer, Algebraic number field, Quartic reciprocity, Cubic reciprocity, Group cohomology, Discriminant of an algebraic number field, Formal group, Class formation, Proofs of Fermat's theorem on sums of two squares, P-adic Hodge theory, Proofs of quadratic reciprocity, Cubic field, Splitting of prime ideals in Galois extensions, Arithmetic dynamics, Heegner number, Galois module, Frobenius endomorphism, Chebotarev's density theorem, Drinfel'd module, Dirichlet's unit theorem, Dedekind zeta function, Class number problem, Euler system, Hasse principle, Brauer group, Grunwald-Wang theorem, Class number formula, Ramification, Modulus, Abstract analytic number theory, Quadratic field, Rigid analytic space, Cyclotomic field, Kummer theory, Hilbert's twelfth problem, Adele ring, Stark-Heegner theorem, Galois cohomology, Cyclotomic character, Newton polygon, List of number fields with class number one, Artin's conjecture on primitive roots, Different ideal, Adelic algebraic group, Local Tate duality, Fundamental discriminant, Fractional ideal, Quadratic integer, Stark conjectures, Additive polynomial, Brumer-Stark conjecture, Heegner point, Local Euler characteristic formula, Global field, Narrow class group, Hasse-Arf theorem, Hilbert's Theorem 90, Leopoldt's conjecture, Regular prime, S-unit, Serre's conjecture II, Ring of integers, Herbrand quotient, Landau prime ideal theorem, Field norm, Norm of an ideal, CM-field, Conductor-discriminant formula, Conductor of an abelian variety, Reflection theorem, Abelian extension, Biquadratic field, Local Fields, Supersingular prime, List of algebraic number theory topics, Totally real number field, Extension and contraction of ideals, Brauer-Siegel theorem, Mo...