Let M be an archimedean quadratic module of real t×t matrix polynomials in n variables, and let S ⊆ ℝn be the set of all points where each element of M is positive semidefinite. Our key finding is a ...

Trigonometric sums and summation formulas have long served as essential tools for elucidating periodic phenomena across mathematics and the physical sciences. These techniques entail the explicit ...

Chu has recently shown that the Abel lemma on summation by parts reveals the telescoping nature of Bailey's ₆ψ₆ bilateral summation formula. We present a systematic approach to compute Abel pairs for ...