The short answer is “mathjax”. See https://terrytao.wordpress.com/2009/02/10/wordpress-latex-bug-collection-drive/ and https://wordpress.com/support/latex/ to see some of the limitations and official support.

]]>** in the exponent.

]]>No. It means since .

]]>There is in fact no discontinuity when poles or zeroes enter or exit the disk, this can be seen for instance by rewriting as .

The error can bounded by , and the latter integral can be bounded using the fact that only has a finite number of poles near the circle and the slow divergence of the logarithm function.

]]>In these notes, constants in the big-O notation are uniform among all parameters that are not explicitly subscripted; no asymptotic limit is presumed (in contrast to the little-O notation). For instance, denotes a quantity bounded in absolute value by , where is uniform in both and .

A statement with asymptotic notation on the left and right-hand sides is interpreted as saying that every expression of the form of the LHS is also of the form of the RHS, but not necessarily conversely (thus equality is not necessarily symmetric once asymptotic notation is involved). Thus for instance whenever .

]]>If all Taylor coefficients are zero, the function vanishes identically and it is the only(!) case where the zero order is defined to be infinite (since the zero order of the constant function can’t be finite by any reasonable definition).

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