Overview

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 k2p2+-4p; 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.

Full Product Details

Author:   Zhi-Wei Sun
Publisher:   Nova Science Publishers Inc
Imprint:   Nova Science Publishers Inc
Weight:   0.572kg
ISBN:  

9781628089578

ISBN 10:   1628089571
Pages:   100
Publication Date:   07 December 2013
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Hardback
Publisher's Status:   Active
Availability:   In Print  
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Table of Contents

Pseudorandom Binary Functions on Rooted Plane Trees; Class Number One Criteria for Real Quadratic Fields with Discriminant k2p2+-4p; Some Product-to-Sum Identities; A Zeta Function for Juggling Sequences; A Quadratic Twist of the Elliptic Curve y2=x(x-1)(x- ); Divisibility Properties of Hypergeometric Polynomials; For Which p-Adic Integers x Can k(x/k)-1 Be Defined; On the Distance between Perfect Numbers; A New Proof of a Theorem of Hamidoune Avoiding Cayley Graphs; On Some Conjectures on the Monotonicity of Some Arithmetical Sequences; Complexity of Trapezoidal Graphs with Different Triangulations; A Note to Zhi-Wei Sun's Supercongruences on Binomial Coefficients; Applications of Shuffle Products of Multiple Zeta Values in Combinatorics; On Invariant Area Formulas & Lattice Point Bounds for the Intersection of Hyperbolic & Elliptic Regions; Product-Cordial Index Set for Cartesian Product of a Graph with a Path; Infinitely Many Congruences for Broken 2-Diamond Partitions Modulo 3; Index.

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