Results 31 to 40 of about 1,812,540 (189)
Mathematics, 2021 In this note, we propose a new construction of cyclotomic p-adic L-functions that are attached to classical modular cuspidal eigenforms. This allows for us to cover most known cases to date and provides a method which is amenable to generalizations to ...
Santiago Molina
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Arithmetic of quasi-cyclotomic fields [PDF]
, 2008 We call a quadratic extension of a cyclotomic field a quasi-cyclotomic field if it is non-abelian Galois over the rational number field. In this paper, we study the arithmetic of any quasi-cyclotomic field, including to determine the ring of integers of ...
Yin, Linsheng, Zhang, Chong
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Constructions of pseudorandom binary lattices using cyclotomic classes in finite fields
Open Mathematics, 2020 In 2006, Hubert, Mauduit and Sárközy extended the notion of binary sequences to n-dimensional binary lattices and introduced the measures of pseudorandomness of binary lattices.
Chen Xiaolin
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Modular lattices over cyclotomic fields [PDF]
, 2005 This paper is concerned with modular lattices over cyclotomic fields. In particular, the notion of Arakelov modular ideal lattice is introduced.
Suarez, Ivan, Bayer-Fluckiger, Eva
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The Schur group of cyclotomic fields [PDF]
, 1975 We compute the Schur group of the cyclotomic fields Q(ϵm) and real quadratic fields Q(d12) where d is a product of an even number of primes congruent to three modulo four.
Janusz, G.J.
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The rank of group of cyclotomic units in abelian fields [PDF]
, 1982 A formula about the rank of group of cyclotomic units in abelian fields is established. From that formula, a series of equivalent conditions for independence of the system of cyclotomic units in abelian fields is stated and proved.
Feng, Keqin, Keqin Feng
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Units and class groups in cyclotomic function fields [PDF]
, 1982 A unit index-class number formula is proven for “cyclotomic function fields” in analogy with similar results in cyclotomic number fields.
Rosen, Michael, Galovich, Steven
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The class number of cyclotomic function fields [PDF]
, 1981 Let k be a rational function field over a finite field. Carlitz and Hayes have described a family of extensions of k which are analogous to the collection of cyclotomic extensions {Q(ζm)| m ≥ 2} of the rational field Q.
Rosen, Michael, Galovich, Steven
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Class numbers of cyclotomic fields [PDF]
, 1985 In the first part of the paper we show how to construct real cyclotomic fields with large class numbers. If the GRH holds then the class number hp+ of the pth real cyclotomic field satisfies hp+ > p for the prime p = 11290018777.
Cornell, Gary +3 more
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Abelian number fields with frobenian conditions
Mathematika, Volume 72, Issue 4, October 2026.Abstract We study the distribution of abelian number fields with frobenian conditions imposed on the conductor. In particular, we find an asymptotic for the number of abelian field extensions of a number field k$k$ whose conductor is the sum of two squares. We also discuss an application of the Brauer group of stacks to quadratic number fields.
Julie Tavernier
wiley +1 more source