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.
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