activity
20122026
most citedThe method of weighted words revisited

2 citations · 2 across the 8 of their papers we have counts for

collaborators
Showing math.NTShow all

3 papers · 1 filter

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.NT2023

Bilateral Bailey Lattices and Andrews-Gordon Type Identities

Jehanne Dousse, Frédéric Jouhet, Isaac Konan

We show that the Bailey lattice can be extended to a bilateral version in just a few lines from the bilateral Bailey lemma, using a very simple lemma transforming bilateral Bailey…

math.NT2012

On a generalisation of Roth's theorem for arithmetic progressions and applications to sum-free subsets

Jehanne Dousse

We prove a generalisation of Roth's theorem for arithmetic progressions to d-configurations, which are sets of the form {n_i+n_j+a}_{1 \leq i \leq j \leq d} where a, n_1,..., n_d a…