Results 31 to 40 of about 11,325,403 (303)
The Hecke Group Hλ4 Acting on Imaginary Quadratic Number Fields
Journal of Mathematics, 2021 Let Hλ4 be the Hecke group x,y:x2=y4=1 and, for a square-free positive integer n, consider the subset ℚ∗−n=a+−n/c|a,b=a2+n/c∈ℤ, c∈2ℤ of the quadratic imaginary number field ℚ−n.
Abdulaziz Deajim
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Parallel machine arithmetic for recurrent number systems in non-quadratic fields [PDF]
Компьютерная оптика, 2020 The paper proposes a new method of synthesis of computer arithmetic systems for "error-free" parallel calculations. The difference between the proposed approach and calculations in traditional systems of Residue Number Systems for the direct sum of ...
Vladimir Chernov
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BETTI NUMBERS OF GAUSSIAN FIELDS [PDF]
Journal of The Korean Astronomical Society, 2013 We present the relation between the genus in cosmology and the Betti numbers for excursion sets of three- and two-dimensional smooth Gaussian random fields, and numerically investigate the Betti numbers as a function of threshold level. Betti numbers are topological invariants of figures that can be used to distinguish topological spaces.
Park, Changbom +8 more
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Computation of the Euclidean minimum of algebraic number fields [PDF]
, 2014 30 pages, shorter version, with many typos fixedInternational audienceWe present an algorithm to compute the Euclidean minimum of an algebraic number field, which is a generalization of the algorithm restricted to the totally real case described by Cerri.
Pierre Lezowski, Lezowski, Pierre
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Relative integral basis for algebraic number fields
International Journal of Mathematics and Mathematical Sciences, 1986 At first conditions are given for existence of a relative integral basis for OK≅Okn−1⊕I with [K;k]=n. Then the constrtiction of the ideal I in OK≅Okn−1⊕I is given for proof of existence of a relative integral basis for OK4(m1,m2)/Ok(m3).
Mohmood Haghighi
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ON WEIL NUMBERS IN CYCLOTOMIC FIELDS [PDF]
International Journal of Number Theory, 2009 In this paper, we study the p-adic behavior of Weil numbers in the cyclotomic ℤp-extension of the pth cyclotomic field. We determine the characteristic ideal of the quotient of semi-local units by Weil numbers in terms of the characteristic ideals of some classical modules that appear in the Iwasawa theory.
Anglès, Bruno, Beliaeva, Tatiana
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On the Fontaine–Mazur Conjecture for Number Fields and an Analogue for Function Fields [PDF]
, 2000 The Fontaine–Mazur Conjecture for number fields predicts that infinite ℓ-adic analytic groups cannot occur as the Galois groups of unramified ℓ-extensions of number fields.
Holden, James F., Holden, Joshua Brandon
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On the strongly ambiguous classes of some biquadratic number fields [PDF]
Mathematica Bohemica, 2016 We study the capitulation of $2$-ideal classes of an infinite family of imaginary bicyclic biquadratic number fields consisting of fields $\Bbbk=\Bbb Q(\sqrt{2pq}, {\rm i})$, where ${\rm i}=\sqrt{-1}$ and $p\equiv-q\equiv1 \pmod4$ are different primes ...
Abdelmalek Azizi +2 more
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A conductor formula for Abelian number fields
四川大学学报. 自然科学版, 2023 In this article, based on Kronecker-Weber theorem we explicitly give a conductor formula for the Abelian number fields in terms of the ramification indices. Particularly, the conductor of a quadratic number field can be easily deduced from this formula.
DENG Xian-Tao, PENG Guo-Hua
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Generators and number fields for torsion points of a special elliptic curve [PDF]
Arab Journal of Mathematical Sciences, 2020 Let E be an elliptic curve with Weierstrass form y2=x3−px, where p is a prime number and let E[m] be its m-torsion subgroup. Let p1=(x1,y1) and p2=(x2,y2) be a basis for E[m], then we prove that ℚ(E[m])=ℚ(x1,x2,ξm,y1) in general.
Hasan Sankari, Mustafa Bojakli
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