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Part 1-Compare Sum and Euler-MacLaurin Integral
\
\>", "Subsection"],

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Small N.  Fixed other variables.  D = 12
\
\>", "Text"],

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At this size, the agreement is off by many, many orders of magnitude.  I \
wonder if the convergence is sufficiently fast based on that, or if I must \
include the Bernoulli numbers.  
\
\>", "Text"]
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Cell["\<\
Part 2--Evaluate Integral
\
\>", "Subsection"],

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At this point, nothing else really needs to be said--this is the result we \
were looking for.  I wonder what additional corrections can be gleaned from \
the Bernoulli numbers.\
\>", "Text"]
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Cell["Part 3--Higher order corrections?", "Subsection"],

Cell["\<\

The first step would be to determine in what approximation I lost the \
higher-order corrections.  These are speculated on in the accompanying \
progress report.  I believe that simply taking another element in the \
expansion of the logarithms will be sufficient for higher-order terms.\
\>", "Text"],

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The Fourier transform of the pair of these, however, is more difficult.\
\>", "Text"],

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Cell["\<\
So the issue seems to be that the integral for higher-order terms is more \
difficult.  In fact, taking one of these exponentials alone returns me to the \
hypergeometric functions!:
\
\>", "Text"],

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