Orthogonal forms: a simple tool for proving the irartionality of $\zeta (3)$ [PDF]
, 2009 33 pages, no figures.-- MSC2000 codes: Primary 42C05, 11B37, 11J72, 11M06; Secondary 30B70, 11A55, 11J70, 33C47.Submitted to: Journal of Approximation TheoryA new proof of the irrationality of $\zeta(3)$ is given. The orthogonality relation among certain
Arvesú Carballo, Jorge
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Linear Fractional Transformations of Continued Fractions with Bounded Partial Quotients [PDF]
, 1996 Let ` be a real number with continued fraction expansion ` = [a 0 ; a 1 ; a 2 ; : : :], and let M = " a b c d # be a matrix with integer entries and with j det(M)j 6= 0. If ` has bounded partial quotients, then a`+b c`+d = [a 0 ; a 1 ; a
J. O. Shallit +3 more
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Number Theory And Formal Languages
, 1999 . I survey some of the connections between formal languages and number theory. Topics discussed include applications of representation in base k, representation by sums of Fibonacci numbers, automatic sequences, transcendence in finite characteristic ...
Jeffrey Shallit
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Class Number Two for Real Quadratic Fields of Richaud-Degert Type [PDF]
, 2009 2000 Mathematics Subject Classification: Primary: 11D09, 11A55, 11C08, 11R11, 11R29; Secondary: 11R65, 11S40; 11R09.This paper contains proofs of conjectures made in [16] on class number 2 and what this author has dubbed the Euler-Rabinowitsch polynomial
Mollin, R. A.
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Optimal Multipliers For LCGs With Prime Moduli: Parallel Computation And Properties
, 2007 . Two systematic search methods are employed to find multipliers for linear congruential pseudo-random number generation which are optimal with respect to an upper bound for the discrepancy of pairs of successive pseudo-random numbers. The efficiency of
A. Uhl, D. Brunner
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Patient Experience with Primary Care Physician and Risk for Hospitalization in Hispanics with CKD. [PDF]
Clin J Am Soc Nephrol, 2018 Cedillo-Couvert EA +14 more
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Baseline aortic pulse wave velocity is associated with central and peripheral pressor responses during the cold pressor test in healthy subjects. [PDF]
Physiol Rep, 2017 Borner A +3 more
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Asymmetric synthesis of biaryl atropisomers by dynamic resolution on condensation of biaryl aldehydes with (-)-ephedrine or a proline-derived diamine. [PDF]
Beilstein J Org Chem, 2008 Bracegirdle A, Clayden J, Lai LW.
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Apéry Limits: Experiments and Proofs
American Mathematical Monthly, 2021Armin Straub, Marc Chamberland
exaly