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math.NT2024
The Rogers-Ramanujan dissection of a theta function
Atul Dixit, Gaurav Kumar
Page 27 of Ramanujan's Lost Notebook contains a beautiful identity which not only gives, as a special case, a famous modular relation between the Rogers-Ramanujan functions …
math.NT2024
Mordell-Tornheim zeta functions and functional equations for Herglotz-Zagier type functions
Atul Dixit, Sumukha Sathyanarayana, N. Guru Sharan
The Mordell-Tornheim zeta function and the Herglotz-Zagier function are two important functions in Mathematics. By generalizing a special case of the former, namely $Θ(z, x)…