Kıral, EM;
Petrow, I;
Young, MP;
(2019)
Oscillatory integrals with uniformity in parameters.
Journal de Théorie des Nombres de Bordeaux
, 31
(1)
pp. 145-159.
10.5802/jtnb.1072.
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Abstract
We prove a sharp asymptotic formula for certain oscillatory integrals that may be approached using the stationary phase method. The estimates are uniform in terms of auxiliary parameters, which is crucial for application in analytic number theory. / Nous prouvons une formule asymptotique précise pour certains types d’intégrales oscillatoires que l’on peut traiter par la méthode de la phase stationnaire. Les estimations sont uniformes en termes de paramètres auxiliaires, ce qui est crucial pour les applications en théorie analytique des nombres.
| Type: | Article |
|---|---|
| Title: | Oscillatory integrals with uniformity in parameters |
| Open access status: | An open access version is available from UCL Discovery |
| DOI: | 10.5802/jtnb.1072 |
| Publisher version: | https://doi.org/10.5802/jtnb.1072 |
| Language: | English |
| Additional information: | This version is the version of record. For information on re-use, please refer to the publisher’s terms and conditions. |
| UCL classification: | UCL UCL > Provost and Vice Provost Offices > UCL BEAMS UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences > Dept of Mathematics |
| URI: | https://discovery-pp.ucl.ac.uk/id/eprint/10084819 |
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