The study of partition functions is a significant area in number theory, focusing on how integers can be expressed as sums of other integers. Recent research has explored various inequalities ...

We give a numerical criterion for a badly conditioned zero of a system of analytic equations to be part of a cluster of two zeros. This journal, begun in 1943 as Mathematical Tables and Other Aids to ...

Analytic functions, defined by the property of being locally expressible as convergent power series, form a cornerstone of complex analysis. Differential operators, which act on these functions by ...

We deal with a method of enhanced convergence for the approximation of analytic functions. This method introduces conformal transformations in the approximation problems, in order to help extract the ...