Number Theory and Discrete Mathematics

Multiple Polylogarithms: An Introduction.- A (Conjectural) 1/3-phenomenon for the Number of Rhombus Tilings of a Hexagon which contain a Fixed Rhombus.- The Influence of Carr's Synopsis on Ramanujan.- A Bailey Lemma from the Quintuple Product.- Little Flowers to G.H. Hardy (07-02-1877-01-12-1947).- Rogers-Ramanujan Type Identities for Burge's Restricted Partition Pairs Via Restricted Frobenius Partitions.- On q-additive and q-multiplicative Functions.- Antimagic Labeling of Complete m-ary Trees.- Some Recent Advances on Symmetric, Quasi-Symmetric and Quasi-Multiple Designs.- On T-core Partitions and Quadratic Forms.- Observations on Some Algebraic Equations Associated with Ramanujan's Work.- On Rapidly Convergent Series for Dirichlet L-function Values Via the Modular Relation.- On a Conjecture of Andrews-II.- Integrity of P2× Pn.- A Note on Cordial Labelings of Multiple Shells.- A Report on Additive Complements of the Squares.- Transcendental Infinite Sums and Some Related Questions.- The Lehmer Problem on the Euler Totient: A Pendora's Box of Unsolvable Problems.- The Problems Solved by Ramanujan in the Journal of the Indian Mathematical Society.- On the gcd and Icm of Matrices Over Dedekind Domains.- The Billiard Ball Motion Problem I: A Markoff Type Chain for the Octahedron in$${{Re }^{3}}$$.- Hilbert's Seventeenth Problem and Pfister's Work on Quadratic Forms.- Certain Representations of Mock-Theta Functions.- Bi-Graceful Graphs.- Wheels, Cages and Cubes.- Relevance of Srinivasa Ramanujan at the Dawn of the New Millennium.- Number of Solutions of Equations over Finite Fields and a Conjecture of Lang and Weil.- On An Additive Question.- n-Colour Partitions.