Symmetry in exponential sums

Today’s exponential sum is highly symmetric:These sums are often symmetric, but not always.

For example, here’s the sum from a couple days ago:It’s not obvious from looking at the parameters whether a sum will be symmetric or not.

Maybe someone could find a prove criteria for a sum to have certain symmetries.

For more exponential sums, see this page.

There’s a link labeled details that explains what is being plotted, and each page has an animate link to show the steps in creating that image.


. More details

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