1 citations · 1 across the 2 of their papers we have counts for
7 papers
A proof of Hadjicostas's conjecture
Robin Chapman
We prove a recent conjecture of Hadjicostas concerning a double integral formula involving the zeta and the gamma functions.
Symmetric Pascal matrices modulo p
Roland Bacher, Robin Chapman
We study characteristic polynomials of symmetric matrices with entries the binomial coefficients, over finite fields.
Combinatorial proofs of q-series identities
Robin Chapman
We provide combinatorial proofs of some of the q-series identities considered by Andrews, Jimenez-Urroz and Ono [q-series identities and values of certain -functions. Duke Math.…
Cubic identities for theta series in three variables
Robin Chapman
We introduce three-variable analogues of the theta series of Borwein and Borwein. We prove various identities involving these theta series including a generalization of the cubic i…
Franklin's argument proves an identity of Zagier
Robin Chapman
Recently Zagier proved a remarkable q-series identity. We show that this identity can also be proved by modifying Franklin's classical proof of Euler's pentagonal number theorem.
Alternating sign matrices and tournaments
Robin Chapman
We settle a question of Bressoud concerning the existence of an explicit bijection from a class of oriented square-ice graphs to a class of tournaments. We give an algorithm constr…