Results 11 to 20 of about 257,472 (285)
ALGEBRAIC DIVISIBILITY SEQUENCES OVER FUNCTION FIELDS [PDF]
Journal of the Australian Mathematical Society, 2012 AbstractIn this note we study the existence of primes and of primitive divisors in function field analogues of classical divisibility sequences. Under various hypotheses, we prove that Lucas sequences and elliptic divisibility sequences over function fields defined over number fields contain infinitely many irreducible elements.
Ingram, P. +4 more
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Finite automata and algebraic extensions of function fields [PDF]
, 2005 We give an automata-theoretic description of the algebraic closure of the rational function field F_q(t) over a finite field, generalizing a result of Christol.
Kedlaya, Kiran S.
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Lower bounds on the class number of algebraic function fields defined over any finite field [PDF]
, 2011 We give lower bounds on the number of effective divisors of degree $\leq g-1$ with respect to the number of places of certain degrees of an algebraic function field of genus $g$ defined over a finite field.
Ballet, Stéphane, Rolland, Robert
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New Estimations of Hermite–Hadamard Type Integral Inequalities for Special Functions
Fractal and Fractional, 2021 In this paper, we propose some generalized integral inequalities of the Raina type depicting the Mittag–Leffler function. We introduce and explore the idea of generalized s-type convex function of Raina type.
Hijaz Ahmad +4 more
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Subspace designs based on algebraic function fields [PDF]
Transactions of the American Mathematical Society, 2018 Subspace designs are a (large) collection of high-dimensional subspaces $\{H_i\}$ of $\F_q^m$ such that for any low-dimensional subspace $W$, only a small number of subspaces from the collection have non-trivial intersection with $W$; more precisely, the sum of dimensions of $W \cap H_i$ is at most some parameter $L$.
Guruswami, Venkatesan +2 more
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Ansätze for scattering amplitudes from p-adic numbers and algebraic geometry
Journal of High Energy Physics, 2022 Rational coefficients of special functions in scattering amplitudes are known to simplify on singular surfaces, often diverging less strongly than the naïve expectation.
Giuseppe De Laurentis, Ben Page
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New Empirical Laws in Geosciences: A Successful Proposal
Applied Sciences, 2023 The importance of empirical versus theoretical laws is a controversial issue in many scientific fields, the latter being generally accepted and the relevance of which is not discussed here.
Jesús Díaz-Curiel +4 more
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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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Decomposed Mean Euler-Poincaré Characteristic Model for a Non-Gaussian Physiological Random Field
IEEE Access, 2021 This paper introduces a new approach of the mean Euler-Poincaré characteristic for nonGaussian random fields (NGRF), which is based on the decomposition by a basic function named motherwave.
Moises Ramos-Martinez +3 more
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Crossed Products over Algebraic Function Fields
Journal of Algebra, 1995 For every finite group \(G\), an integer \(m(G)\) is defined as the maximum over all primes \(p\) dividing the order of \(G\) of the minimal lengths of chains \(\{1 \}= P_0 \varsubsetneq P_1 \varsubsetneq \dots \varsubsetneq P_r =P\) where \(P\) is a Sylow \(p\)-subgroup of \(G\) and \(P_{i-1}\) is a normal subgroup in \(P_i\) such that \(P_i/ P_{i- 1}\
Fein, B., Schacher, M.
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