$M_2$-rank differences for partitions without repeated odd parts

Jeremy Lovejoy; Robert Osburn

doi:10.5802/jtnb.673

M_{2}

-rank differences for partitions without repeated odd parts

Jeremy Lovejoy ¹ ; Robert Osburn ²

¹ CNRS LIAFA Université Denis Diderot 2, Place Jussieu, Case 7014 F-75251 Paris Cedex 05, FRANCE
² School of Mathematical Sciences University College Dublin Belfield Dublin 4

Journal de théorie des nombres de Bordeaux, Tome 21 (2009) no. 2, pp. 313-334.

Abstract (VO)
Résumé

We prove formulas for the generating functions for $M_{2}$ -rank differences for partitions without repeated odd parts. These formulas are in terms of modular forms and generalized Lambert series.

Nous prouvons des formules pour les fonctions génératrices des différences de rang $M_{2}$ pour les partitions où les parts impaires sont distinctes. Ces formules sont en termes de formes modulaires et de séries de Lambert généralisées.

MR

DOI : 10.5802/jtnb.673

Affiliations des auteurs :

Jeremy Lovejoy ¹ ; Robert Osburn ²

¹ CNRS LIAFA Université Denis Diderot 2, Place Jussieu, Case 7014 F-75251 Paris Cedex 05, FRANCE
² School of Mathematical Sciences University College Dublin Belfield Dublin 4

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Jeremy Lovejoy; Robert Osburn. $M_2$-rank differences for partitions without repeated odd parts. Journal de théorie des nombres de Bordeaux, Tome 21 (2009) no. 2, pp. 313-334. doi : 10.5802/jtnb.673. https://jtnb.centre-mersenne.org/articles/10.5802/jtnb.673/

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