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Exercise I.0.9 from Tenenbaum's "Introduction to analytic and probabilistic number theory"
I'm trying to solve all the exercises from Tenenbaum's book but am unfortunately stuck on problem 9 of the very first ("tools") chapter. The problem is supposed to be an application of the ...
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Waring problem generalizations and theta-function
My question is twofold:
Can the Waring problem be expressed with the Jacobi theta function
or some analog (as is the case for $k=2$) for general $k$? Say for $k=4$
or $k=6$, are these able to be ...