Vanishing coefficients in two families of quotients of theta functions
\textit{B. Richmond} and \textit{G. Szekeres} [Acta Sci. Math. 40, 347--369 (1978; Zbl 0397.10046)] studied vanishing coefficients with arithmetic progressions in quotients of theta functions; since then several researchers have contributed in this area. Recently, \textit{J. Q. D. Du} and the author [``Vanishing coefficients in quotients of theta functions with odd moduli'', Preprint] found that certain aithmetic progressions on vanishing coefficients could be enjoyed by family of quotients of theta functions. In present article, author further prove total eight such results, which are presented in theorems \(1.1\) and \(1.3\); and also gave five related conjectures. All the results are explained properly with supporting arguments and interesting.
scientific article; zbMATH DE number 7625543
scientific article