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Volume 82 - December 2010

Contents

Page 3 of 3

Research Article

  • ALGEBRAIC VALUES OF TRANSCENDENTAL FUNCTIONS AT ALGEBRAIC POINTS

  • Part of:
  • JINGJING HUANG, DIEGO MARQUES, MARTIN MEREB
  • Published online by Cambridge University Press:
    22 June 2010, pp. 322-327
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  • It is shown that any subset of can be the exceptional set of some transcendental entire function. Furthermore, we give a much more general version of this theorem and present a unified proof.

Front Cover (OFC, IFC) and matter

  • BAZ volume 82 issue 3 Cover and Front matter

  • Published online by Cambridge University Press:
    18 November 2010, pp. f1-f2
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Research Article

  • A CONCEPT OF SYNCHRONICITY ASSOCIATED WITH CONVEX FUNCTIONS IN LINEAR SPACES AND APPLICATIONS

  • Part of:
  • S. S. DRAGOMIR
  • Published online by Cambridge University Press:
    18 June 2010, pp. 328-339
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  • A concept of synchronicity associated with convex functions in linear spaces and a Chebyshev type inequality are given. Applications for norms, semi-inner products and convex functions of several real variables are also given.

Back Cover (IBC, OBC) and matter

  • BAZ volume 82 issue 3 Cover and Back matter

  • Published online by Cambridge University Press:
    18 November 2010, pp. b1-b6
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Abstracts of Australasian PhD Theses

Research Article

  • A NOTE ON A RESULT OF RUZSA, II

  • Part of:
  • MIN TANG
  • Published online by Cambridge University Press:
    18 June 2010, pp. 340-347
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  • Let σA(n)=∣{(a,a′)∈A2:a+a′=n}∣, where n∈ℕ and A is a subset of ℕ. Erdős and Turán con-jectured that for any basis A of ℕ, σA(n) is unbounded. In 1990, Ruzsa constructed a basis A⊂ℕ for which σA(n) is bounded in square mean. Based on Ruzsa’s method, we proved that there exists a basis A of ℕ satisfying ∑ n≤Nσ2A(n)≤1449757928N for large enough N. In this paper, we give a quantitative result for the existence of N, that is, we show that there exists a basis A of ℕ satisfying ∑ n≤Nσ2A(n)≤1069693154N for N≥7.628 517 798×1027, which improves earlier results of the author [‘A note on a result of Ruzsa’, Bull. Aust. Math. Soc.77 (2008), 91–98].

Abstracts of Australasian PhD Theses

  • ON THE NUMBER OF LATIN RECTANGLES

  • Part of:
  • DOUGLAS S. STONES
  • Published online by Cambridge University Press:
    22 June 2010, pp. 167-170
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  • OPTIMAL DESIGNS FOR TWO-COLOUR MICROARRAY EXPERIMENTS

  • Part of:
  • PENNY S. SANCHEZ
  • Published online by Cambridge University Press:
    08 June 2010, pp. 171-172
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  • INCREASING POWER OF M-TEST THROUGH PRE-TESTING

  • Part of:
  • ROSSITA MOHAMAD YUNUS
  • Published online by Cambridge University Press:
    08 June 2010, pp. 173-174
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  • THE DESIGN OF EFFICIENT STATED CHOICE EXPERIMENTS

  • Part of:
  • STEPHEN BUSH
  • Published online by Cambridge University Press:
    08 June 2010, pp. 175-176
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Front Cover (OFC, IFC) and matter

  • BAZ volume 82 issue 2 Cover and Front matter

  • Published online by Cambridge University Press:
    01 September 2010, pp. f1-f2
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  • BAZ volume 82 issue 1 Cover and Front matter

  • Published online by Cambridge University Press:
    12 July 2010, pp. f1-f2
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Back Cover (IBC, OBC) and matter

  • BAZ volume 82 issue 2 Cover and Back matter

  • Published online by Cambridge University Press:
    01 September 2010, pp. b1-b2
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  • BAZ volume 82 issue 1 Cover and Back matter

  • Published online by Cambridge University Press:
    12 July 2010, pp. b1-b2
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Page 3 of 3