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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.
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 co-effecients; full
friendly index sets and full product-cordial index sets of twisted
cylinders; and properly charged coloring of two-dimensional arrays.
This book is a collection of articles in the second volume of the
Journal of Combinatorics and Number Theory. As scheduled this
volume consists of three issues and it contains nineteen
contributed papers from eminent experts or active young
mathematicians which cover various important topics in number
theory and combinatorics.
The creation of the science on stem cells and development of its
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