A Bailey Lattice
نویسنده
چکیده
We exhibit a technique for generating new Bailey pairs which leads to deformations of classical q-series identities, multiple series identities of the Rogers-Ramanujan type, identities involving partial theta functions, and a variety of representations for q-series by number theoretic objects like weight 3/2 modular forms, ternary quadratic forms, and weighted binary quadratic forms.
منابع مشابه
Pupae are excellent explants with low microbial contamination and high regeneration frequency for micropropagation of Freesia ×hybrida Bailey 'Argenta'
Two separate factorial experiments were conducted to study the effects of explant sources, plant growth regulators, sucrose concentrations, and light conditions on in vitro cormlet formation of freesia (Freesia ×hybrida Bailey 'Argenta'). Interestingly, it was observed that the pupae had lower contamination levels compared to mother corms. Using 40% sodium hypochlorite solution for 40 min, cont...
متن کامل50 Years of Bailey’s Lemma
Half a century ago, The Proceedings of the London Mathematical Society published W. N. Bailey’s influential paper Identities of the Rogers–Ramanujan type [16]. The main result therein, which was inspired by Rogers’ second proof of the Rogers– Ramanujan identities [49] (and also [48, 28, 15]), is what is now known as Bailey’s lemma. To celebrate the occasion of the lemma’s fiftieth birthday we p...
متن کاملStaggered Lattice Artifacts in 3-Flavor Heavy Baryon Chiral Perturbation Theory
Motivated by simulation results for octet and decuplet baryon masses using 2+1 flavors of light staggered quarks, we are incorporating staggered lattice artifacts into heavy baryon chiral perturbation theory, calculating the masses of various staggered baryons, and studying the connection between the staggered baryons of the chiral theory and the staggered baryons of simulations. We present O(m...
متن کاملPrime Filters in Mv-algebras
In this document we consider the prime spectrum of an MV-algebra with certain natural operations. These are used to show connections between the classes of prime lattice filters and prime implication filters.
متن کاملThe B → π l ν semileptonic form factor from three - flavor lattice QCD : A model - independent determination
We calculate the form factor f+(q 2) for B-meson semileptonic decay in unquenched lattice QCD with 2+1 flavors of light sea quarks. We use Asqtad-improved staggered light quarks and a Fermilab bottom quark on gauge configurations generated by the MILC Collaboration. We simulate with several light quark masses and at two lattice spacings, and extrapolate to the physical quark mass and continuum ...
متن کامل