$L^p$ maximal estimates for quadratic Weyl sums

9 Mar 2021  ·  Roger Baker ·

Let $S(x,t)$ denote the Weyl sum with associated polynomial $xn + tn^2$. Suppose that $|S(x,t)|$ attains its maximum for given $x$ at $t = t(x)$... We give upper and lower bounds of the same order of magnitude for the $L^p$ norm of $S(x,t(x))$. read more

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Number Theory 11L15