2017
Том 69
№ 9

All Issues

A modular transformation for a generalized theta function with multiple parameters

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

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Abstract

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.

English version (Springer): Ukrainian Mathematical Journal 61 (2009), no. 8, pp 1233-1249.

Citation Example: Bhargava S., Mahadeva Naika M. S., Maheshkumar M. C. A modular transformation for a generalized theta function with multiple parameters // Ukr. Mat. Zh. - 2009. - 61, № 8. - pp. 1040-1052.

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