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math.NT2025
Bailey pairs and quantum -series identites. I. The classical identities
Jehanne Dousse, Jeremy Lovejoy
We use Bailey pairs to prove -series identities at roots of unity due to Cohen and Bryson-Ono-Pitman-Rhoades. The proofs use Bailey pairs with quadratic forms developed in the s…
math.CO2025
Andrews--Gordon and Stanton type identities: bijective and Bailey lemma approaches
Jehanne Dousse, Jihyeug Jang, Frédéric Jouhet
In 2018, Stanton proved two types of generalisations of the celebrated Andrews--Gordon and Bressoud identities (in their -series version): one with a similar shape to the origin…