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A problem considered by Friedlander & Iwaniec and the discrete Hardy-Littlewood method

In: Mathematica Slovaca, vol. 67, no. 2
Werner Georg Nowak
Detaily:
Rok, strany: 2017, 533 - 539
Kľúčové slová:
Dirichlet characters, $L$-series, exponential sums
O článku:
Following Friedlander & Iwaniec [\uppercase{Friedlander, J. B.—Iwaniec, H.}: \textit{Summation formulae for coefficients of $L$-functions}, Canad.J.Math. \textbf{57} (2005), 494–505], the objective of this note are the coefficients $an$ of the Dirichlet series for $L(s,χ1)L(s,χ2)L(s,χ3)$ where $χ1, χ2, χ3$ are primitive Dirichlet characters with modules $D1,D2,D3$. For $∑n≤ xan$, with $x$ large, sharp asymptotics are established which are uniform in $D1,D2,D3$. To this end, the modern method for the estimation of exponential sums, due to [\uppercase{Huxley, M. N.}: \textit{Area, Lattice Points, and Exponential Sums}, LMS Monographs, New Ser. \textbf{13}, University Press, Oxford, 1996] and others, is applied with gain.
Ako citovať:
ISO 690:
Nowak, W. 2017. A problem considered by Friedlander & Iwaniec and the discrete Hardy-Littlewood method. In Mathematica Slovaca, vol. 67, no.2, pp. 533-539. 0139-9918. DOI: https://doi.org/10.1515/ms-2016-0287

APA:
Nowak, W. (2017). A problem considered by Friedlander & Iwaniec and the discrete Hardy-Littlewood method. Mathematica Slovaca, 67(2), 533-539. 0139-9918. DOI: https://doi.org/10.1515/ms-2016-0287
O vydaní:
Publikované: 25. 4. 2017