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Frontiers of Combinatorics and Number Theory
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Editors: Zhi-Wei Sun
Book Description:
This new book is a collection of articles in the first volume of the Journal of Combinatorics and Number Theory. As scheduled this volume consists of three issues and it contains twenty-two contributed papers from eminent experts or active young mathematicians which cover various important topics in number theory and combinatorics. (Imprint: Nova Press)

Table of Contents:

Optimal Jumping Patterns;pp. 1-13
(Steve Butler, Ron Graham, and Nan Zang, Dept. of Mathematics, University of California, Los Angeles, USA)

On the Difference Between Solutions of Discrete Tomography Problems;pp. 15-30
(Birgit van Dalen, Mathematisch Institute, University Leiden, The Netherlands)

On the Binomial Convolution of Arithmetical Functions;pp. 31-47
(Laszlo Toth and Pentti Haukkanen, University of Pecs, Hungary and others)

Irrationality Criteria for Infinite Products;pp. 49-57
(Vichian Laohakosol and Kantaphon Kuhapatanakul, Dept. of Mathematics, Kasetsart University, Bangkok, Thailand)

Sums of Triangular Numbers and T-Core Partitions;pp. 59-64
(Ben Kane, Radboud University, Nijmegen, Netherlands)

On Sums of Prime and Triangular Numbers;pp 65-76
(Nanjing University, People's Republic of China)
(Zhi-Wei Sun, Dept. of Mathematics, Nanjing University, People's Republic of China)

On Two Conjectures About Mixed Sums of Squares and Triangular Numbers;pp. 77-90
(Ben Kane, Radboud University, Nijmegen, Netherlands)

Some New Theta Function Identities with Applications to Sextenary Quadratic Forms;pp. 91-101
(Ayse Alaca, S. Alaca, and Kenneth S. Williams, School of Mathematics, Carleton University, Ottawa, Ontario, Canada)

Power Values of Palindromes;pp. 103-109
(Javier Cilleruelo, Florian Luca and Igor E. Shparlinski, Universidad Autonoma de Madrid, Espana and others)

On the Structure of Minimal Zero-Sum Sequences With Maximal Cross Number;pp. 111-128
(Alfred Geroldinger and David J. Grynkiewicz, Institut fur Mathematik Und Wissenschaftliches Rechnen, Graz, Austria)

Limit Formulas for Non-Modular Eisenstein Series;pp. 129-135
(Robin Chapman, University of Exeter, UK)

Large Sums of 4k Squares: A Polynomial Approach;pp. 137-156
(Aycse Alaca, Saban Alaca and Kenneth S. Williams, School of Mathematics and Statistics, Carleton University, Ottawa, Ontario, Canada)

On the Number of Representations of Integers by Certain Quadratic Forms, II;pp. 157-187
(Shaun Cooper, Massey University, Auckland, New Zealand)

On a Divisibility Problem Related to Binomial Coefficients;pp. 189-193
(Florian Luca and Gabor Nyul, Universidad Nacional Autonoma de Mexico, Morelia, Michoacan, Mexico and others)

Generators of the Cubic Extension of a Finite Field;pp. 195-209
(Stephen D. Cohen, University of Glasgow, Scotland)

Distribution of Determinant of Matrices With Restricted Entries Over Finite Fields;pp. 211-220
(L.A. Vinh, Harvard University, Cambridge, MA, USA)

Every Polynomial Over a Finite Field of Even Cardinal q > 4 is a Strict Sum of Four Cubes and One Expression A2+A;pp. 221-232
(Luis H. Gallardo,, University of Brest, Brest, Cedex, France)

The Irreducibility of Weighted Sums of Polynomials Whose
Irreducible Factors are Cyclotomic;pp. 233-244
(Carrie Finch and Lenny Jones, Washington and Lee University, Virginia, USA and others)

The GBG-Rank and T-Cores I. Counting and 4-Cores;pp. 245-261
(Alexander Berkovich and Frank Garvan, University of Florida, Gainesville,USA)

The Number of Prime Divisors of a Product of Consecutive Integers;pp. 263-271
(R. Balasubramanian, S. Laishram, T.N. Shorey and R. Thangadurai, The Institute of Mathematical Sciences, Taramani, Chennai, India and others)

On Even Integers Not of the Form 2^k+sigma(m);pp. 273-279
(F. Luca and F. Nicolae, Universidad Nacional Autonoma de Mexico, Morelia, Michoacan, Mexico and others)

Constructing Supersingular Elliptic Curves;pp. 281-285
(Reinier Broker, Microsoft Research, Redmond, WA, USA


      Frontiers of Combinatorics and Number Theory
   Binding: Hardcover
   Pub. Date: 2011
   Pages: 7 x 10 (NBC - G) 289pp.
   ISBN: 978-1-61209-720-6
   Status: AV
Status Code Description
AN Announcing
FM Formatting
PP Page Proofs
FP Final Production
EP Editorial Production
PR At Prepress
AP At Press
AV Available
Special Focus Titles
01.Peter Singerís Ethics: A Critical Appraisal
02.Sexism: Past, Present and Future Perspectives
03.Body and Politics: Elite Disability Sport in China
04.Childhood and Adolescence: Tribute to Emanuel Chigier, 1928-2017
05.Renal Replacement Therapy: Controversies and Future Trends
06.Food-Drug Interactions: Pharmacokinetics, Prevention and Potential Side Effects
07.Terrorism and Violence in Islamic History and Theological Responses to the Arguments of Terrorists
08.International Event Management: Bridging the Gap between Theory and Practice
09.The Sino-Indian Border War and the Foreign Policies of China and India (1950-1965)
10.Tsunamis: Detection, Risk Assessment and Crisis Management
11.Sediment Watch: Monitoring, Ecological Risk Assessment and Environmental Management
12.Self-Regulated Learners: Strategies, Performance, and Individual Differences

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Frontiers of Combinatorics and Number Theory