In mathematics, Stickelberger's theorem is a result of algebraic number theory, which gives some information about the Galois module structure of class...

Mordell had fallen asleep, someone in the audience asked "Isn't that Stickelberger's theorem?" The speaker said "No it isn't." A few minutes later the person...

son both died in 1918. Stickelberger died on 11 April 1936 and was buried next to his wife and son in Freiburg. Stickelberger's obituary lists the total...

Herbrand–Ribet theorem: the power of p dividing Bp−n is exactly the power of p dividing the order of Gn. Iwasawa theory Stickelberger's theorem Kummer–Vandiver...

existence theorem Hasse norm theorem Artin reciprocity Local class field theory Iwasawa theory Herbrand–Ribet theorem Vandiver's conjecture Stickelberger's theorem...

p {\displaystyle p} divides Δ K {\displaystyle \Delta _{K}} . Stickelberger's theorem: Δ K ≡ 0  or  1 ( mod 4 ) . {\displaystyle \Delta _{K}\equiv 0{\text{...

In mathematics, Thaine's theorem is an analogue of Stickelberger's theorem for real abelian fields, introduced by Francisco Thaine (1988). Thaine's method...

class number formula for Dedekind zeta functions, and also of Stickelberger's theorem about the factorization of Gauss sums. It is named after Armand...

In mathematics, the Weierstrass preparation theorem is a tool for dealing with analytic functions of several complex variables, at a given point P. It...

Chowla–Mordell theorem Stickelberger's theorem B. H. Gross and N. Koblitz. Gauss sums and the p-adic Γ-function. Ann. of Math. (2), 109(3):569–581, 1979. Theorem 9...

units. In Iwasawa theory, these ideas are further combined with Stickelberger's theorem. Brumer–Stark conjecture Smith–Minkowski–Siegel mass formula Lectures...

theory Iwasawa theory builds up from the analytic number theory and Stickelberger's theorem as a theory of ideal class groups as Galois modules and p-adic...

{\displaystyle (\mathbb {Z} /n\mathbb {Z} )^{\times }} . The Kronecker–Weber theorem provides a partial converse: every finite abelian extension of Q is contained...

result of Gauss's. The theorem was stated and proved in the language of groups by Ferdinand Georg Frobenius and Ludwig Stickelberger in 1878. Another group-theoretic...

started with Camille Jordan's theorem that the projective special linear group PSL(2, q) is simple for q ≠ 2, 3. This theorem generalizes to projective groups...

is known for the famous determinantal identities, known as Frobenius–Stickelberger formulae, governing elliptic functions, and for developing the theory...

function. It implies the Hasse–Davenport relation and generalizes the Stickelberger theorem. Boyarsky (1980) gave another proof of the Gross–Koblitz formula...

known prime ideal factorisations in their cyclotomic fields; see Stickelberger's theorem. When χ is the Legendre symbol, J ( χ , χ ) = − χ ( − 1 ) = ( −...

and complex analysis, proved the intermediate value theorem and the Bolzano–Weierstrass theorem, and used the latter to study the properties of continuous...

}{a}}\right)_{m}=\left({\frac {a}{\alpha }}\right)_{m}.} The theorem is a consequence of the Stickelberger relation. Weil (1975) gives a historical discussion...

structure theorem for finitely generated modules over a principal ideal domain. In the case of finitely generated abelian groups, this theorem guarantees...

denote the fractional part normalised to 0 < {x} ≤ 1. The multiplication theorem for the Hurwitz zeta function ζ ( s , a ) = ∑ n = 0 ∞ ( n + a ) − s {\displaystyle...