Geodesic
Asymptotics and formulas for cubic exponential sums
Informatics and Automation, Analytic number theory, Tome 299 (2017), pp. 86-104

Voir la notice de l'article provenant de la source Math-Net.Ru

Several asymptotic expansions and formulas for cubic exponential sums are derived. The expansions are most useful when the cubic coefficient is in a restricted range. This generalizes previous results in the quadratic case and helps to clarify how to numerically approximate cubic exponential sums and how to obtain upper bounds for them in some cases.
Keywords: cubic exponential sums, van der Corput iteration. 
@article{TRSPY_2017_299_a4,
     author = {Ghaith A. Hiary},
     title = {Asymptotics and formulas for cubic exponential sums},
     journal = {Informatics and Automation},
     pages = {86--104},
     publisher = {mathdoc},
     volume = {299},
     year = {2017},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TRSPY_2017_299_a4/}
}
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Ghaith A. Hiary. Asymptotics and formulas for cubic exponential sums. Informatics and Automation, Analytic number theory, Tome 299 (2017), pp. 86-104. http://geodesic.mathdoc.fr/item/TRSPY_2017_299_a4/