Results 71 to 80 of about 3,919,564 (82)

Cyclotomic units in function fields

, 1997
S. Bae, Linsheng Yin
semanticscholar   +1 more source

CYCLOTOMIC UNITS AND DIVISIBILITY OF THE CLASS NUMBER OF FUNCTION FIELDS

, 2002
Jaehyun Ahn, H. Jung
semanticscholar   +1 more source

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Units in some group rings over the ring of p-cyclotomic integers

Journal of Algebra and its Applications, 2022
Describing the group of units of a group ring is a classical problem. Let [Formula: see text] be a rational prime number. We set [Formula: see text] a primitive root of unity of order [Formula: see text], [Formula: see text] the ring of [Formula: see ...
Vitor Araujo Garcia, R. A. Ferraz
semanticscholar   +1 more source

Fermat curves and a refinement of the reciprocity law on cyclotomic units

Journal für die Reine und Angewandte Mathematik, 2018
We define a “period-ring-valued beta function” and give a reciprocity law on its special values. The proof is based on some results of Rohrlich and Coleman concerning Fermat curves. We also have the following application.
Tomokazu Kashio
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On the distribution of the signs of the conjugates of the cyclotomic units in the maximal real subfield of the qth cyclotomic field, q A prime

, 1969
D. Davis
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Algebraic proof for the independence of the 2-power cyclotomic units

Indian journal of pure and applied mathematics
Rintaro Kozuma
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Semi-local units modulo cyclotomic units in the cyclotomic ℤ 2 -extensions

Journal de Théorie des Nombres de Bordeaux
Takae Tsuji
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Primary cyclotomic units and a proof of Catalans conjecture

, 2004
P. Mihăilescu
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Cyclotomic units in zp-extensions

, 1991
J. Kim, S. Bae, In-Sok Lee
semanticscholar   +1 more source