Geodesic
Number of non-zero cubic sums
Zapiski Nauchnykh Seminarov POMI, Algebra and number theory. Part 1, Tome 469 (2018), pp. 160-174 Cet article a éte moissonné depuis la source Math-Net.Ru

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The exponential sums $S_q(a,m)=\sum_{l=1}^q\exp(2\pi i(al^3+ml)q^{-1})$ are considered. For every natural $q$, the explicit formulas for the number of non-zero sums among $S_q(a,0),\dots,S_q(a,q-1)$ are found. 
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     author = {N. D. Filonov},
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N. D. Filonov. Number of non-zero cubic sums. Zapiski Nauchnykh Seminarov POMI, Algebra and number theory. Part 1, Tome 469 (2018), pp. 160-174. http://geodesic.mathdoc.fr/item/ZNSL_2018_469_a6/

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