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Frontiers of Combinatorics and Number Theory, Volume 4
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Editors: Zhi-Wei Sun
Book Description:
This book contains papers on topics in combinatorics (including graph theory) or number theory. The subject areas within correspond to the MSC (Mathematics Subject Classification) codes 05, 11, 20D60, and 52.
Some topics included in this compilation are pseudorandom binary functions on rooted plane trees; class number one criteria for real quadratic fields with discriminant k2p24p; some product-to-sum identities; a zeta function for juggling sequences; divisibility properties of hypergeometric polynomials; the distance between perfect numbers; a new proof of a theorem of Hamidoune avoiding;
conjectures on the monotonicity of some arithmetical sequences;
complexity of trapezoidal graphs with different triangulations;
applications of shuffle products of multiple zeta values in combinatorics; the invariant area formulas and lattice point bounds for the intersection of hyperbolic and elliptic regions; and product-cordial index set for Cartesian products of a graph with a path.
(Imprint: Nova)

Table of Contents:
Pseudorandom Binary Functions on Rooted Plane Trees
(Katalin Gyarmati, Pascal Hubert, and Andras Sarkozy)
Class Number One Criteria for Real Quadratic Fields with Discriminant k2p24p
(Richard A. Mollin and Anitha Srinivasan) pp.21-34

Some Product-to-Sum Identities
(Saban Alaca, Lerna Pehlivan, and Kenneth S. Williams) pp.35-54

A Zeta Function for Juggling Sequences
(Carten Elsner, Dominic Klyve, and Erik R. Tou)pp.55-68

A Quadratic Twist of the Elliptic Curve y2=x(x-1)(x-)
(Ivic Gusic, Luka Lasic, and Petra Tadic)pp.69-78

Divisibility Properties of Hypergeometric Polynomials
(Clemens Fuchs and T. N. Shorey) pp.79-88

For Which p-Adic Integers x Can Ʃk(x/k)-1 Be Defined?
(M. Davis) pp.89-106

On the Distance between Perfect Numbers
(Philippe Ellia) pp.107-110

A New Proof of a Theorem of Hamidoune Avoiding Cayley Graphs
(Ram Krishna Pandey)pp.111-116

On Some Conjectures on the Monotonicity of Some Arithmetical Sequences
(Florian Luca and Pantelimon Stanica)pp117-126

Complexity of Trapezoidal Graphs with Different Triangulations
(S. N. Daoud and A. Elsonbaty)pp.127-138

A Note to Zhi-Wei Sun's Supercongruences on Binomial Coefficients
(Ching-Cheong Lee, Wodan Ling, Nan Wu, and Minjue Xu) pp.139-146

Applications of Shuffle Products of Multiple Zeta Values in Combinatorics
(Mingking Eie, Tung-Yang Lee, Yao Lin Ong) 147-164

On Invariant Area Formulas and Lattice Point Bounds for the Intersection of Hyperbolic and Elliptic Regions
(Mike Bennett, Krill Y. Lazebnik, Patrick X. Rault, and Jeffrey A. Singer)pp.165-180

Product-Cordial Index Set for Cartesian Product of a Graph with a Path
(Wai Chee Shiu)pp.181-200

Infinitely Many Congruences for Broken 2-Diamond Partitions Modulo 3
(Cristian-Silviu Radu and James A. Sellers)pp.201-206

Index pp.207-209

      Frontiers of Combinatorics and Number Theory
   Binding: Hardcover
   Pub. Date: 2013
   Pages: 219, 7x10 - (MIXIE)
   ISBN: 978-1-62808-957-8
   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
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Frontiers of Combinatorics and Number Theory, Volume 4