Frontiers of Combinatorics & Number Theory

Volume 4

Buch | Hardcover

100 Seiten

2013
Nova Science Publishers Inc (Verlag)
978-1-62808-957-8 (ISBN)

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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.

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.

Erscheint lt. Verlag	7.12.2013
Verlagsort	New York
Sprache	englisch
Maße	180 x 260 mm
Gewicht	572 g
Themenwelt	Mathematik / Informatik ► Mathematik ► Arithmetik / Zahlentheorie
ISBN-10	1-62808-957-1 / 1628089571
ISBN-13	978-1-62808-957-8 / 9781628089578
Zustand	Neuware