Mathematical Research Letters

Volume 15, Issue 1, January 2008 pp. 33-41.

Finite products of regularized products

Authors: Francisco Diaz y Diaz (1) and Eduardo Friedman (2)
Author institution: Université Bordeaux I (1) and Universidad de Chile (2)

Summary: The product $\big(\p a_m\big)\cdot\big(\p b_m\big)$ of two regularized products is not in general equal to the regularized product $\p (a_m\cdot b_m)$. We consider the discrepancy $F$, defined by $$ \exp(F ):=\frac{\p (a_m\cdot b_m)}{\big(\p a_m\big)\cdot\big(\p b_m\big)}. $$ When the terms $a_m$ and $b_m$ depend on parameters, we show in certain cases that $F$ is a polynomial in these parameters.

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