On the ordinary problem of d.h.lehmer
Web1 de ago. de 2009 · The D. H. Lehmer problem in short intervals is studied by using the mean value theorem for incomplete Kloostermansums, and an asymptotic formula is given. WebThis research presents a novel approach called “Smart grids” that automates the very labor-intensive and therefore time-heavy and expensive process of integrating data and data-based information retrieval and visualization into a distributed system. Expand View 1 excerpt, cites methods Combinatorial algorithms for subset sum problems I. Ozerov
On the ordinary problem of d.h.lehmer
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WebAbstract We consider a generalisation of the classical Lehmer problem about the distri-bution of modular inverses in arithmetic progression, introduced by E. Alkan, F. Stan and … Web15 de jul. de 2009 · On the ordinary problem of D.H.Lehmer. Chinese Science Bulletin, 38 (12), 1060–1065 (1993) Google Scholar Xu, Z. F., Zhang, W. P.: On a problem of D. H. …
Web14 de mai. de 2024 · A classical problem of D. H. Lehmer suggests the study of distributions of elements of Z/pZ of opposite parity to the multiplicative inverse mod p. Zhang initiated … Weba positive integer q and an arbitrary integer h, the classical Dedekind sums S(h,q)is defined by S(h,q) = q a=1 a q ah q, where ((x)) = x−[x]− 1 2, if x is not an integer 0, if x is an integer. The various properties of S(h,k) have been studied by many authors (see [2–4, 9, 10]). For this sum, there is also another kind of expression ...
Weben 1957 par D. H. et E. Lehmer ont mis en évidence des écarts inat-tendus par rapport à cette densité conjecturale, incitant Artin à y introduire un facteur correctif. La conjecture … Web38 D.H. LEHMER where rangesoverall thedivisors of ma,and(it),theMSbiusfunction,has, in this case, the value 4-1 or -1according as is the productof aneven or anoddnumberofprimes. Bythewell-knowncombinatorialprinciple, called by Sylvester the Principle of Crossclassification, (x, a) is the number of numbers =< x divisible bynoneof the first …
WebLehmer's conjecture, also known as the Lehmer's Mahler measure problem, is a problem in number theory raised by Derrick Henry Lehmer. The conjecture asserts that there is an absolute constant μ > 1 {\displaystyle \mu >1} such that every polynomial with integer coefficients P ( x ) ∈ Z [ x ] {\displaystyle P(x)\in \mathbb {Z} [x]} satisfies one of the …
WebA PROBLEM OF D. H. LEHMER Yi YUAN and Zhang WENPENG (Received 6 November 2000 and revised 23 May 2001) 1. Introduction ... For q= pa prime, D. H. Lehmer asks for a closed form forr(p)or for something non-trivial to be said about it [2, p. 251]. The secondauthor[3, 4] consideredr(q)and obtaineda sharp asymptoticformula birthday gifts for gearheadshttp://www.numdam.org/item/CM_1994__91_1_47_0.pdf dan murphy\u0027s specials toowoombaWebA technique of D. H. Lehmer's for Euclid's algorithm is generalized for efficient computation of the multidimensional algorithms. For triples of integers, two algorithms of interest are studied empirically. 1. Introduction. dan murphy\u0027s tooheys extra dryWeb47 A problem of D. H. Lehmer and its generalization (II)* ZHANG WENPENG Department of Mathematics, Northwest University, Xi an, China Accepted 28 August 1992; accepted in final form 12 January 1993 Abstract. Let q > 2 be an odd number. For each integer x with 0 x q and (q, x) = 1, we define x by xx == 1 (mod q) and 0 x q. Let r(q) be the … birthday gifts for geeky boyfriendsdan murphy\u0027s springwood phone numberWebD. H. LEHMER, EMMA LEHMER, AND W. H. MILLS Introduction. Until recently none of the numerous papers on the distribu tion of quadratic and higher power residues was concerned with questions of the following sort: Let km an bde positive integers. According to a theorem of Brauer (1), for every sufficiently largem prim consecutive p there e exist birthday gifts for geeky brotherWebA classical problem of D. H. Lehmer suggests the study of distributions of elements of Z/pZ of opposite parity to the multiplicative inverse mod p. Zhang initiated this problem and found an... birthday gifts for geek girl