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Oscillatory integrals with uniformity in parameters

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. Green open access

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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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