共查询到20条相似文献,搜索用时 15 毫秒
1.
V. G. Chirskii 《Journal of Mathematical Sciences》2007,146(2):5791-5797
This paper presents a review of the arithmetic properties of F-series.
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Translated from Fundamentalnaya i Prikladnaya Matematika, Vol. 11, No. 6, pp. 221–230, 2005. 相似文献
2.
Elliptic curve cryptosystems (ECCs) have become increasingly popular due to their efficiency and the small size of the keys
they use. Particularly, the anomalous curves introduced by Koblitz allow a complex representation of the keys, denoted τNAF, that make the computations over these curves more efficient. In this article, we propose an efficient method for randomizing
a τNAF to produce different equivalent representations of the same key to the same complex base τ. We prove that the average Hamming density of the resulting representations is 0.5. We identify the pattern of the τNAFs yielding the maximum number of representations and the formula governing this number. We also present deterministic methods
to compute the average and the exact number of possible representations of a τNAF.
相似文献
3.
In this paper, we introduce p-ideals in semirings. A new form of regularity, which is compatible with p-ideals, is defined. Our aim is to explore the possibilities of establishing an ideal theory in semirings, going alongside the existing literature of semiring theory.AMS Subject Classification (2000): Primary 16Y60 相似文献
4.
5.
If (N,t) ({\cal N},\tau) is a finite von Neumann algebra and if (M,n) ({\cal M},\nu) is an infinite von Neumann algebra, then Lp(M,n) L_{p}({\cal M},\nu) does not Banach embed in Lp(N,t) L_{p}({\cal N},\tau) for all p ? (0,1) p\in (0,1) . We also characterize subspaces of $ L_{p}({\cal N},\tau),\ 0< p <1 $ L_{p}({\cal N},\tau),\ 0< p <1 containing a copy of lp. 相似文献
6.
In this paper we show that the Taylor coefficients of a Hecke eigenform at a CM-point, suitably modified, form a sequence
of algebraic numbers that satisfy the Kubota–Leopoldt generalization of the Kummer congruences for primes that split in the
imaginary quadratic field associated with a CM-point. More generally, we show that these numbers are moments of a certain
p-adic measure. In addition, we write down explicitly the “Euler factor” at p in terms of the p th Hecke eigenvalue of the modular form in question and certain data of the CM-point.
P. Guerzhoy is supported by NSF grant DMS-0700933. 相似文献
7.
A. L. Kuz’mina 《Russian Mathematics (Iz VUZ)》2008,52(7):8-14
We study Besicovitch-type spaces of generalized almost periodic functions. The main result is a theorem on representation of linear continuous functionals that is similar to the classical result of F. Riesz. 相似文献
8.
9.
Olof Heden 《Designs, Codes and Cryptography》2008,46(1):45-56
Let p be a prime number and assume p ≥ 5. We will use a result of L. Redéi to prove, that every perfect 1-error correcting code C of length p + 1 over an alphabet of cardinality p, such that C has a rank equal to p and a kernel of dimension p − 2, will be equivalent to some Hamming code H. Further, C can be obtained from H, by the permutation of the symbols, in just one coordinate position.
相似文献
10.
Tunay Bilgin 《Czechoslovak Mathematical Journal》2005,55(3):691-697
The definition of lacunary strongly convergence is extended to the definition of lacunary strong (A
σ
, p)-convergence with respect to invariant mean when A is an infinite matrix and p = (p
i
) is a strictly positive sequence. We study some properties and inclusion relations. 相似文献
11.
We describe a method for determining the minimal length of elements in the generalized Thompson’s groups F(p). We compute the length of an element by constructing a tree pair diagram for the element, classifying the nodes of the tree
and summing associated weights from the pairs of node classifications. We use this method to effectively find minimal length
representatives of an element.
相似文献
12.
13.
Michael J. Puls 《Archiv der Mathematik》2007,88(6):500-506
Let p be a real number greater than one. In this paper we study the vanishing and nonvanishing of the first L
p
-cohomology space of some groups that have one end. We also make a connection between the first L
p
-cohomolgy space and the Floyd boundary of the Cayley graph of a group. We apply the result about Floyd boundaries to show
that there exists a real number p such that the first L
p
-cohomology space of a nonelementary hyperbolic group does not vanish.
Received: 4 August 2006 Revised: 2 November 2006 相似文献
14.
15.
Yaroslav Kopylov 《Archiv der Mathematik》2007,89(1):87-96
We consider some problems concerning the L
p,q
-cohomology of Riemannian manifolds. In the first part, we study the question of the normal solvability of the operator of
exterior derivation on a surface of revolution M considered as an unbounded linear operator acting from Lpk (M) into Lk+1q (M). In the second part, we prove that the first L
p,q-cohomology of the general Heisenberg group is nontrivial, provided that p < q.
Received: 17 January 2006
Supported by INTAS (Grant 03–51–3251) and the State Maintenance Program for the Leading Scientific Schools of the Russian
Federation (Grants NSh 311.2003.1, NSh 8526.2006.1). 相似文献
16.
ChangJian Zhao 《中国科学A辑(英文版)》2008,51(12):2172-2188
In this paper the author first introduce a new concept of L
p
-dual mixed volumes of star bodies which extends the classical dual mixed volumes. Moreover, we extend the notions of L
p
intersection body to L
p
-mixed intersection body. Inequalities for L
p
-dual mixed volumes of L
p
-mixed intersection bodies are established and the results established here provide new estimates for these type of inequalities.
This work was supported by the Natural Science Foundation of Zhejiang Province of China (Grant No. Y605065) and the Foundation
of the Education Department of Zhejiang Province of China (Grant No. 20050392) 相似文献
17.
Wu Yang YU Dong Hua WU Gang Song LENG 《数学学报(英文版)》2007,23(11):1937-1948
The purpose of this paper is to generalize the notion of intersection bodies to that of quasi Lp-intersection bodies. The Lp-analogs of the Busemann intersection inequality and the Brunn- Minkowski inequality for the quasi Lp-intersection bodies are obtained. The Aleksandrov Fenchel inequality for the mixed quasi Lp-intersection bodies is also established. 相似文献
18.
19.
V. Yu. Slyusarchuk 《Ukrainian Mathematical Journal》2007,59(4):639-644
We establish conditions for the oscillation of solutions of the equation y″ + p(t)Ay = 0 in a Banach space, where A is a bounded linear operator and p: ℝ+ → ℝ+ is a continuous function.
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Translated from Ukrains’kyi Matematychnyi Zhurnal, Vol. 59, No. 4, pp. 571–576, April, 2007. 相似文献
20.
Richard Taylor 《Publications Mathématiques de L'IHéS》2008,108(1):183-239
We extend the results of [CHT] by removing the ‘minimal ramification’ condition on the lifts. That is we establish the automorphy
of suitable conjugate self-dual, regular (de Rham with distinct Hodge–Tate numbers), l-adic lifts of certain automorphic mod
l Galois representations of any dimension. The main innovation is a new approach to the automorphy of non-minimal lifts which
is closer in spirit to the methods of [TW] than to those of [W], which relied on Ihara’s lemma. 相似文献