A modular transformation for a generalized theta function with multiple parameters

  • S. Bhargava
  • Naika M. S. Mahadeva
  • M. C. Maheshkumar


We obtain a modular transformation for the theta function $$∑_{-∞}^{∞}∑_{-∞}^{∞}q^{a(m^2 + m^n) + cn^2 + λm + μn + ν_{ς}Am + Bn_{Z}Cm + Dn},$$ which enables us to unify and extend several modular transformations known in literature.
How to Cite
Bhargava, S., N. M. S. Mahadeva, and M. C. Maheshkumar. “A Modular Transformation for a Generalized Theta Function With Multiple Parameters”. Ukrains’kyi Matematychnyi Zhurnal, Vol. 61, no. 8, Aug. 2009, pp. 1040-52, https://umj.imath.kiev.ua/index.php/umj/article/view/3079.
Research articles