Results 141 to 150 of about 545 (160)

A primality test using cyclotomic extensions

1989
The cyclotomic polynomial Φs(x) (where s is an integer >1) is the irreducible polynomial over ℚ, having the primitive s-th roots of unity as zeroes. If \(\mathbb{K}\) is the field ℚ or \(\mathbb{F}_p\), with p a prime, an s-th cyclotomic extension of \(\mathbb{K}\) is the splitting field of Φs(x) over \(\mathbb{K}\).
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A generalization of maillet and demyanenko determinants for the Cyclotomic Zp-Extension

Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg, 2001
Let \(K\) be an imaginary Abelian field, \(h_K^-\) the relative class number of \(K\). In his previous paper [Acta Arith. 83, 391--397 (1998; Zbl 0895.11045)], the author gave a formula for \(h_K^-\) in the form of a determinant, which generalizes both formulae for Maillet and Demyanenko determinants.
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Cyclotomic Extensions

2021
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Kummer Theory over Cyclotomic Zp-extensions

1978
In the last chapter we studied the ideal class groups in a Z p -extension of a number field. Here we shall consider especially the cyclotomic Z p -extension, and then Kummer extensions above it, as in Iwasawa [Iw 12], obtained by adjoining p n th roots of units, p-units, and ideal classes of p-power order.
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Cyclotomic Polynomials and Cyclic Extensions

2021
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Cyclotomic Extensions

2018
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Heuristics for Anti-cyclotomic ℤ _p -extensions

Experimental Mathematics, 2023
Debanjana Kundu, Lawrence C. Washington
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Bounds on the Tamagawa numbers of a crystalline representation over towers of cyclotomic extensions

Tohoku Mathematical Journal, 2017
Antonio Lei
exaly  

Cyclic Extensions and Cyclotomic Fields

2012
Stephen C Newman
exaly  

Iwasawa invariants of some non-cyclotomic Zp-extensions

Journal of Number Theory, 2018
Lawrence C Washington
exaly