Graded rings of integral Jacobi forms

Valery Gritsenko (1) , Haowu Wang (1)

1 LPP - Laboratoire Paul Painlevé - UMR 8524

We determine the structure of the bigraded ring of weak Jacobi forms with integral Fourier coefficients. This ring is the target ring of a map generalising the Witten and elliptic genera and a partition function of

Mots clés: 11F46; 11F50; 58J26; Jacobi forms; Integral Fourier expansion; Witten and elliptic genera; Jacobi-Eisenstein series; Borcherds products; structure; graded; partition function; string model; holomorphic

Domaines: Physique mathématique [math-ph]; Physique des Hautes Energies - Théorie [hep-th]

Valery Gritsenko, Haowu Wang. Graded rings of integral Jacobi forms. J.Number Theor., 2020, 214, pp.382-398. ⟨10.1016/j.jnt.2020.03.006⟩. ⟨hal-01914500⟩