Frontiers of Combinatorics and Number Theory. Volume 3


Zhi-Wei Sun (Editor)
Department of Mathematics, Nanjing University, P.R. China

Series: Frontiers of Combinatorics and Number Theory
BISAC: MAT022000

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 discussed in this compilation include restricted Eisenstein series and certain convolution sums; zeroes of the Hurwitz zeta function in the interval (O,1); prime factorization conditions providing multiplicities in coset partitions of groups; mean value formulas for twisted Edwards curves; binary matrices as morphisms of a triangular category; some diophantine triples and quadruples for quadratic polynomials; codes associated with orthogonal groups; combinatorial sums and series involving inverses of the Gaussian binomial coeffecients; full friendly index sets and full product-cordial index sets of twisted cylinders; and properly charged coloring of two-dimensional arrays. (Imprint: Nova)

Table of Contents

Table of Contents

Restricted Eisenstein Series and Certain Convolution Sums
(A. Alaca, S. Alaca, F. Uygul, and K. S. Williams)

The Number of Nonzero Binomial Coefficients Modulo p(a)
(E. Rowland)

Symmetry Sets, Approximate Groups
(N. Hegyvari)

Extreme values of the Dedekind Function
(P. Sole and M. Planat)

Partitions with Prescribed Hooksets
(W. J. Keith and R. Nath)

Turan’s Problem for Trees
(Zhi-Hong Sun and Lin-Lin Wang)

Zeros of the Hurwitz Zeta Function in the Interval (0,1)
(D. Schipani)

Prime Factorization Conditions Providing Multiplicities in Coset Partitions of Groups
(Yuval Ginosar and Ofir Schnabel)

Pairs of Additive Forms of Degrees 2.3τ and 4.5τ
(H. Godinho and T.C. de Souza Neto)

Mean Value Formulas for Twisted Edwards Curves
(Dustin Moody)

Binary Matrices as Morphisms of a Triangular Category
(Emil Schwab)

Some Diophantine Triples and Quadruples for Quadratic Polynomials
(Andrej Dujella and Ana Jurasić)

Edge Maximal Graph without Wk graphs, k=5,6
(A.A. Alrhayyel, A.M.M. Jaradat, M.M.M. Jaradat, and M.S.A. Bataineh)

Nonextensibility of the pair {1,3} to a Diophantine Quintuple in Z[√-2]
(Zrinka Franusic)

On the Number of Representations of A Positive Integer By Certain Quadratic Forms In Twelve Variables
(Ayse Alaca)

Codes Associated with Orthogonal Groups
(Dae San Kim)

Combinatorial Sums and Series Involving Inverses of the Gaussian Binomial Coefficients
(Tiberiu Trif)

Full Friendly Index Sets and Full Product-cordial Index Sets of Twisted Cylinders
(Wai Chee Shiu and Sin-Min Lee)

Properly Charged Coloring of Two-Dimensional Arrays
(Jocelyn Quaintance)


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