Bounds for class numbers of cyclotomic function fields.
Class groups---and their size, the class number---give information about the arithmetic within a field. For example, if a field has class number one, then integers within the field will factor uniquely (as they do in Z ).
Palen, Joseph John
core
Decomposition types in minimally tamely ramified extensions of Q. [PDF]
Dummit DS, Kisilevsky H.
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A Survey of Lattice-Based Physical-Layer Security for Wireless Systems with <i>p</i>-Modular Lattice Constructions. [PDF]
Khodaiemehr H +5 more
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Endomorphism algebras of abelian varieties with large cyclic 2-torsion field over a given field. [PDF]
Goodman P.
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HARBINGERS OF ARTIN’S RECIPROCITY LAW. II. IRREDUCIBILITY OF CYCLOTOMIC POLYNOMIALS
In [8], we have presented the history of auxiliary primes from Legendre’s proof of the quadratic reciprocity law up to Artin’s reciprocity law. We have also seen that the proof of Artin’s reciprocity law consists of several steps, the first of which is ...
F. Lemmermeyer
core
New results on non-disjoint and classical strong external difference families. [PDF]
Huczynska S, Hume S.
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The Stickelberger Elements and the Cyclotomic Units in the Cyclotomic $\Bbb Z_p$-Extensions
application ...
openaire
The Eisenstein ideal at prime-square level has constant rank. [PDF]
Lang J, Wake P.
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Congruence modules in higher codimension and zeta lines in Galois cohomology. [PDF]
Iyengar SB +3 more
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