Sums of even ascending powers
Document type :
Pré-publication ou Document de travail
Title :
Sums of even ascending powers
Author(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]
Sun Yat-sen University [Guangzhou] [SYSU]
Lesesvre, Didier [Auteur]
Université de Lille
Xiao, Xuanxuan [Auteur]
Macau University of Science and Technology [MUST]
HAL domain(s) :
Mathématiques [math]/Théorie des nombres [math.NT]
English abstract : [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 ...
Show more >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.Show less >
Show more >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.Show less >
Language :
Anglais
Comment :
20 pages
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- 2001.02429
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