Jeffrey Bachand

Bailey-Lattice Transfer of Generating Functions, Prime Euler Factors, and the von Mangoldt Measure

Let (α_n, β_n) be a Bailey pair relative to a with base q, and let G_P(a,q) = Σ_{n≥0} a^n q^{n²} α_n be its α-side generating function. Lovejoy's Bailey-lattice step carries a pair relative to a to a pair P′ relative to aq and depends on an auxiliary parameter b. We make explicit...