3 papers
math.NT2026
Laurent type expansion of multiple polylogarithms at integer points
Pawan Singh Mehta, Biswajyoti Saha
In this article, we study the local behaviour of the multiple polylogarithm functions at integer points, in the -aspect. This is done by writing a Laurent type expansion at inte…
math.NT2026
Ramaswami Type translation formulae for the polylogarithm functions
Pawan Singh Mehta, Biswajyoti Saha
In 1934, Ramaswami proved a number of curious translation formulae satisfied by the Riemann zeta function. Such translation formulae, in turn give the meromorphic extension of the…
math.NT2025
Multiple polylogarithms, a regularisation process and an admissible open domain of convergence
Pawan Singh Mehta, Biswajyoti Saha
In this article, we study the analytic properties of the multiple polylogarithms in the -aspect. Although the domain of absolute convergence of the series defining the multiple…