Finite products of regularized products

• Autores: Francisco J. Díaz Díaz , Eduardo Friedman
• Localización: Mathematical research letters, ISSN 1073-2780, Vol. 15, Nº 1, 2008, págs. 33-41
• Idioma: inglés
• DOI: 10.4310/mrl.2008.v15.n1.a3
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• Resumen

  • 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