Results 21 to 30 of about 3,689,614 (284)
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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Automorphisms of Function Fields [PDF]
Transactions of the American Mathematical Society, 1955 1. Let K be an algebraic function field of one variable over the constant field k and let g > 0 be the genus of K. Let 9 be the group of all automorphisms of K that leave the elements of k fixed (and that leave a given place Po of K/k fixed if g = 1). A classical theorem due to Schwartz-Klein-NoetherWeierstrass-Poincar&-Hurwitz when g>1 (and older for ...
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On the Eisenstein ideal over function fields [PDF]
, 2015 We study the Eisenstein ideal of Drinfeld modular curves of small levels, and the relation of the Eisenstein ideal to the cuspidal divisor group and the component groups of Jacobians of Drinfeld modular curves.
Dedicated To Winnie Li +2 more
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Dynamics of R-neutral Ramond fields in the D1-D5 SCFT
Journal of High Energy Physics, 2021 We describe the effect of the marginal deformation of the N $$ \mathcal{N} $$ = (4, 4) super-conformal (T 4) N /S N orbifold theory on a doublet of R-neutral twisted Ramond fields, in the large-N approximation. Our analysis of their dynamics explores the
A. A. Lima, G. M. Sotkov, M. Stanishkov
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Experimental Mathematics, 1999 We present the first implementation of sieving techniques in the context of function fields. More precisely, we compute in class groups of quadratic congruence function fields by combining the algorithm of Hafner and McCurley with sieving ideas known from factoring.
Flassenberg, Ralf, Paulus, Sachar
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On solving norm equations in global function fields
Journal of Mathematical Cryptology, 2009 The potential of solving norm equations is crucial for a variety of applications of algebraic number theory, especially in cryptography. In this article we develop general effective methods for that task in global function fields for the first time.
Gaál István, Pohst Michael E.
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Entire-Domain Basis Function with Segmented Edge Condition Applied for Scattering Structures
Journal of Microwaves, Optoelectronics and Electromagnetic Applications, 2021 This paper proposes the formulation of a sinusoidal basis function with a novel segmented edge condition to model the impulsive behavior of the surface electric current density at the edges of rectangular microstrip scatterers.
Edson R. Schlosser +2 more
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Partition function of free conformal fields in 3-plet representation
Journal of High Energy Physics, 2017 Simplest examples of AdS/CFT duality correspond to free CFTs in d dimensions with fields in vector or adjoint representation of an internal symmetry group dual in the large N limit to a theory of massless or massless plus massive higher spins in AdS d+1.
Matteo Beccaria, Arkady A. Tseytlin
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Renormalization of twisted Ramond fields in D1-D5 SCFT2
Journal of High Energy Physics, 2021 We explore the n-twisted Ramond sector of the deformed two-dimensional N $$ \mathcal{N} $$ = (4, 4) superconformal (T 4) N /S N orbifold theory, describing bound states of D1-D5 brane system in type IIB superstring.
A. A. Lima, G. M. Sotkov, M. Stanishkov
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Hypergeometric Functions for Function Fields
Finite Fields and Their Applications, 1995 Let \(\{a,b,c\}\) be complex constants. Then the famous Gauss hypergeometric equation is given by \[ z(1 - z) {d^2y \over dz^2} + \bigl( c - (a + b + 1) z \bigr) {dy \over dz} - aby = 0. \] One defines the Pochhammer symbol \((a)_n\) by \((a)_0 : = 1\) and for \(n > 1\), \((a)_n : = a(a + 1) (a + 2) (a + 3) \cdots (a + n - 1)\).
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