Results 1 to 10 of about 36 (36)
Average value of the divisor class numbers of real cubic function fields
Open Mathematics, 2023 We compute an asymptotic formula for the divisor class numbers of real cubic function fields Km=k(m3){K}_{m}=k\left(\sqrt[3]{m}), where Fq{{\mathbb{F}}}_{q} is a finite field with qq elements, q≡1(mod3)q\equiv 1\hspace{0.3em}\left(\mathrm{mod}\hspace{0 ...
Lee Yoonjin, Lee Jungyun, Yoo Jinjoo
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Capitulation of the 2-ideal classes of type (2, 2, 2) of some quartic cyclic number fields
Journal of Mathematical Cryptology, 2019 Let p≡3(mod4){p\equiv 3\pmod{4}} and l≡5(mod8){l\equiv 5\pmod{8}} be different primes such that pl=1{\frac{p}{l}=1} and 2p=pl4{\frac{2}{p}=\frac{p}{l}_{4}}. Put k=ℚ(l){k=\mathbb{Q}(\sqrt{l})}, and denote by ϵ its fundamental unit. Set K=k(-2pϵl){K=k(
Azizi Abdelmalek +3 more
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The average size of 3-torsion in class groups of 2-extensions
Forum of Mathematics, PiWe determine the average size of the $3$ -torsion in class groups of G-extensions of a number field when G is any transitive $2$ -group containing a transposition, for example $D_4$ .
Robert Lemke Oliver +2 more
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Class Number Two for Real Quadratic Fields of Richaud-Degert Type [PDF]
, 2009 2000 Mathematics Subject Classification: Primary: 11D09, 11A55, 11C08, 11R11, 11R29; Secondary: 11R65, 11S40; 11R09.This paper contains proofs of conjectures made in [16] on class number 2 and what this author has dubbed the Euler-Rabinowitsch polynomial
Mollin, R. A.
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Open MathematicsLet K be an Artin-Schreier extension of the rational function field k≔Fq(T) $k{:=}{\mathbb{F}}_{q}\left(T\right)$ , where Fq ${\mathbb{F}}_{q}$ is a finite field of order q and q is a power of p.
Yoo Jinjoo, Lee Yoonjin
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, 1929 Inset map: Loop District.; Legend includes information on railroads and railroad stations.; "11R29."Color;1:31 ...
Rand McNally and Company;
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On mod p representations which are defined over Fp: II
, 2009 The behaviour of Hecke polynomials modulo p has been the subject of some study. In this note we show that, if p is a prime, the set of integers N such that the Hecke polynomials TN,χℓ,k for all primes ℓ, all weights k ≥ 2 and all characters χ taking ...
Gabor Wiese, L. J. P. Kilford
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On the class-number of the maximal real subfield of a cyclotomic field
, 2016 For any square-free positive integer m, let H(m) be the class-number of the field Q(ςm+ςm-1 ), where ςm is a primitive m-th root of unity. We show that if m = {3(8g + 5)}2 - 2 is a square-free integer, where g is a positive integer, then H(4m) > 1 ...
Saikia, Helen K., Hoque, Azizul
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Computing Discrete Logarithms in Real Quadratic Congruence Function Fields of Large Genus
, 1997 The discrete logarithm problem in various finite abelian groups is the basis for some well known public key cryptosystems. Recently, real quadratic congruence function fields were used to construct a public key distribution system.
Fachbereich Informatik +4 more
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Neoadjuvant Targeted Therapy in Non-Small Cell Lung Cancer and Its Impact on Surgical Outcomes. [PDF]
Ann Thorac Surg Short Rep, 2023 Sorin M +13 more
europepmc +1 more source