Sums of even ascending powers

Kuan, Chan Ieong; Lesesvre, Didier; Xiao, Xuanxuan

Type de document :

Pré-publication ou Document de travail

Titre :

Sums of even ascending powers

Auteur(s) :

Kuan, Chan Ieong [Auteur]
Sun Yat-sen University [Guangzhou] [SYSU]
Lesesvre, Didier [Auteur]

Université de Lille
Xiao, Xuanxuan [Auteur]
Macau University of Science and Technology [MUST]

Discipline(s) HAL :

Mathématiques [math]/Théorie des nombres [math.NT]

Résumé en anglais : [en]

Freiman and Scourfield proved that any large enough integer can be written as a sum of a certain number of ascending even powers. We use the circle method to provide the first explicit bound on this number, and show that ...
Lire la suite >Freiman and Scourfield proved that any large enough integer can be written as a sum of a certain number of ascending even powers. We use the circle method to provide the first explicit bound on this number, and show that any large enough integer can be written as a sum of 133 ascending even powers.Lire moins >

Langue :

Anglais

Commentaire :

20 pages

Collections :

Laboratoire Paul Painlevé - UMR 8524

Source :

Harvested from HAL

Fichiers

2001.02429
Accès libre
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Sums of even ascending powers

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