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20152022
most citedGeneralized Artin pattern of heterogeneous multiplets of dihedral fields and proof of Scholz's conjecture

1 citations · 2 across the 14 of their papers we have counts for

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18 papers · 1 filter

math.NT2022

Algebraic number fields generated by an infinite family of monogenic trinomials

Daniel C. Mayer, Abderazak Soullami

For an infinite family of monogenic trinomials in , arithmetical invariants of the cubic number field , genera…

math.NT2021

Bicyclic commutator quotients with one non-elementary component

Daniel C. Mayer

For any number field K with non-elementary 3-class group Cl(3,K) = C(3^e) x C(3), e >= 2, the punctured capitulation type kappa(K) of K in its unramified cyclic cubic extensions Li…

math.NT2021

-Principalization over -fields

Siham Aouissi, Mohamed Talbi, Daniel C. Mayer +1

Let be a prime number and be a primitive cube root of unity. Then is a pure metacyclic field with grou…

math.NT2021

Classifying multiplets of totally real cubic fields

Daniel C. Mayer

The number of non-isomorphic cubic fields L sharing a common discriminant d(L) = d is called the multiplicity m = m(d) of d. For an assigned value of d, these fields are collected…

math.NT2020

Construction and classification of p-ring class fields modulo p-admissible conductors

Daniel C. Mayer

Each p-ring class field K(f) modulo a p-admissible conductor f over a quadratic base field K with p-ring class rank r(f) mod f is classified according to Galois cohomology and diff…

math.NT2020

Finite non-metabelian Schur sigma-Galois groups of class field towers

Daniel C. Mayer

For each odd prime p>=5, there exist finite p-groups G with derived quotient G/D(G)=C(p)xC(p) and nearly constant transfer kernel type k(G)=(1,2,...,2) having two fixed points. It…