On the ordinary problem of d.h.lehmer

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August undefined, 2024

Web16 de mai. de 2009 · On a problem of D.H. Lehmer. Proceedings of the American Mathematical Society, 135 (2007), 969–975. Article MATH MathSciNet Google Scholar … 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 …

A Note on High-dimensional D. H. Lehmer Problem

WebIn this paper, we consider a more extensive generalization of the D. H. Lehmer problem over short intervals, which may be of great arithmetical interest. Suppose A and B … 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 … diabetic sketchers

A problem of D. H. Lehmer and its generalization (II) - Numdam

Web6 de jan. de 2004 · Download Citation On a Problem of D. H. Lehmer and General Kloosterman Sums Let q ≥ 3 be an odd number, a be any fixed positive integer with (a, … 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 WebD. H. Lehmer Published 1 October 1932 Mathematics Bulletin of the American Mathematical Society where k is an integer, and {n) is Euler's totient function, giving the number of integers cinema hd with firestick

A problem of D. H. Lehmer and its generalization (II) - Numdam

WebA 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 … 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 … cinema hd won\u0027t download moviesWebSemantic Scholar extracted view of "A Note on Trigonometric Algebraic Numbers" by D. H. Lehmer. Skip to search form Skip to main content Skip to account menu. Semantic Scholar's Logo. Search 211,134,107 papers from all fields of science. ... The problem of finding all algebraic values of α ∈ [−1; 1] ... cinema hd with no ads

"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. … " - On the ordinary problem of d.h.lehmer

On the ordinary problem of d.h.lehmer

On a generalisation of a Lehmer problem - Springer

Web20 de ago. de 1999 · Lerner responded: “Your role is anything you want it to be.”. When Holmes asked to discuss the issue in more detail, Lerner turned and walked away. … WebA 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.

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Web1 de set. de 2008 · On a problem of D.H. Lehmer and pseudorandom binary sequences On a problem of D.H. Lehmer and pseudorandom binary sequences Authors: Huaning Liu … Web20 de dez. de 2014 · D. H. Lehmer made this conjecture in 1932, a couple of years after he had published his Ph.D. thesis, "On an Extended Theory of Lucas' Functions," in which he extended the theory of the Lucas (and companion Lucas) sequences to a larger family of sequences which now bear his name. In addition, he corrected some of the mistakes in …

Web18 de jun. de 2005 · The main purpose of this paper is to use the Fourier expansion for character sums and the mean value theorem of Dirichlet L–functions to study the … WebHan Zhang, Wenpeng Zhang, Some new sums related to D. H. Lehmer problem; Xiaowei Pan, Wenpeng Zhang, On Lehmer's problem and Dedekind sums; Zhang Wenpeng, A problem of D. H. Lehmer and its generalization (II) Alexandru Zaharescu, The distribution of the values of a rational function modulo a big prime

Web12 de ago. de 2024 · The original Lehmer problem is to count the numbers coprime to a prime such that the number and the its number theoretical inverse are in different parities … WebD. 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

WebThe probability measureµsatisfies the Lp-transportation inequality on(E,d)if there exists a constant C>0 such that for any probability measure ν on E, As usual,we writeµ∈Tp(C)for this relation.The propertiesT1(C)andT2(C)are of particular interest.The phenomenon of measure concentration is related toT1(C)(see[3,6–8]).

Web1 de abr. de 2024 · On a Problem of D. H. Lehmer Huafeng Liu, Wen Peng Zhang Mathematics 2006 AbstractThe main purpose of this paper is to use the Fourier … diabetic skin ailmentsWebOn a Problem of D. H. Lehmer Semantic Scholar AbstractThe main purpose of this paper is to use the Fourier expansion for character sums and the mean value theorem of Dirichlet L–functions to study the asymptotic property of the difference between a D. H. Lehmer number and its inverse modulo p (an odd prime). A interesting mean square diabetic skin care oils products diabetic skin condition on shinsWeb16 de out. de 2008 · We consider a generalisation of the classical Lehmer problem about the distribution of modular inverses in arithmetic progression, introduced by E. Alkan, F. … diabetic skin care lotionWeb9 de dez. de 2011 · A problem of D. H. Lehmer and its generalization (II), Compositio Math. 91 ( 1994 ), 47 – 56. Google Scholar 9 Wenpeng, Z., A problem of D. H. Lehmer and its mean square value formlua, Jap. J. Math. 29 ( 2003 ), 109 – 116. CrossRef Google Scholar 10 Zhang, W., On the mean values of Dedekind sums, J. Theor. Nombres. 8 ( … diabetic skin infection across backhttp://www.numdam.org/item/CM_1993__86_3_307_0.pdf diabetic skin hand rashWebLehmer was awarded his Ph.D. in 1900 from the University of Chicago for his thesis Asymptotic Evaluation of Certain Totient-Sums. After the award of his doctorate Lehmer was appointed in 1900 as an instructor in mathematics at the University of California at Berkeley. Lehmer married Clara Eunice Mitchell on 12 July 1900 at Decatur, Illinois ... diabetic skin foot care