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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.
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.
Conference matrices and unimodular lattices
Robin Chapman
Conference matrices are used to define complex structures on real vector spaces. Certain lattices in these spaces become modules for rings of quadratic integers. Multiplication of…