InforLorV4, PascalFrancis, Corpus, bibRecord, 000B23

On sums of seven cubes

Identifieur interne : 000B23 ( PascalFrancis/Corpus ); précédent : 000B22; suivant : 000B24

On sums of seven cubes

Auteurs : F. Bertault ; O. Ramare ; P. Zimmermann

Source :

Mathematics of computation [ 0025-5718 ] ; 1999.

RBID : Pascal:99-0364402

Descripteurs français

Pascal (Inist)
- Théorie nombre, Somme sept cubes, Identité Maillet, Hypothèse Riemann.

English descriptors

KwdEn :
- Maillet identity, Number theory, Riemann hypothesis, Sum of seve cubes.

Abstract

We show that every integer between 1290741 and 3.375 x 10¹² is a sum of 5 nonnegative cubes, from which we deduce that every integer which is a cubic residue modulo 9 and an invertible cubic residue modulo 37 is a sum of 7 nonnegative cubes.

Notice en format standard (ISO 2709)

Pour connaître la documentation sur le format Inist Standard.

A01	`01`	`1`		`@0 0025-5718`
A02	`01`			`@0 MCMPAF`
A03		`1`		`@0 Math. comput.`
A05				`@2 68`
A06				`@2 227`
A08	`01`	`1`	`ENG`	`@1 On sums of seven cubes`
A11	`01`	`1`		`@1 BERTAULT (F.)`
A11	`02`	`1`		`@1 RAMARE (O.)`
A11	`03`	`1`		`@1 ZIMMERMANN (P.)`
A14	`01`			`@1 Département de Mathématiques, Université de Lille I @2 59 655 Villeneuve d'Ascq @3 FRA @Z 1 aut.`
A14	`02`			`@1 Loria, BP 101 @2 54600 Villers-lès-Nancy @3 FRA @Z 2 aut. @Z 3 aut.`
A20				`@1 1303-1310`
A21				`@1 1999`
A23	`01`			`@0 ENG`
A43	`01`			`@1 INIST @2 5227 @5 354000085626140250`
A44				`@0 0000 @1 © 1999 INIST-CNRS. All rights reserved.`
A45				`@0 15 ref.`
A47	`01`	`1`		`@0 99-0364402`
A60				`@1 P`
A61				`@0 A`
A64	`01`	`1`		`@0 Mathematics of computation`
A66	`01`			`@0 USA`
C01	`01`		`ENG`	`@0 We show that every integer between 1290741 and 3.375 x 10¹² is a sum of 5 nonnegative cubes, from which we deduce that every integer which is a cubic residue modulo 9 and an invertible cubic residue modulo 37 is a sum of 7 nonnegative cubes.`
C02	`01`	`X`		`@0 001A02C02`
C03	`01`	`X`	`FRE`	`@0 Théorie nombre @5 01`
C03	`01`	`X`	`ENG`	`@0 Number theory @5 01`
C03	`01`	`X`	`SPA`	`@0 Teoría números @5 01`
C03	`02`	`X`	`FRE`	`@0 Somme sept cubes @4 CD @5 96`
C03	`02`	`X`	`ENG`	`@0 Sum of seve cubes @4 CD @5 96`
C03	`03`	`X`	`FRE`	`@0 Identité Maillet @4 CD @5 97`
C03	`03`	`X`	`ENG`	`@0 Maillet identity @4 CD @5 97`
C03	`04`	`X`	`FRE`	`@0 Hypothèse Riemann @4 CD @5 98`
C03	`04`	`X`	`ENG`	`@0 Riemann hypothesis @4 CD @5 98`
N21				`@1 235`

Format Inist (serveur)

NO :	PASCAL 99-0364402 INIST
ET :	On sums of seven cubes
AU :	BERTAULT (F.); RAMARE (O.); ZIMMERMANN (P.)
AF :	Département de Mathématiques, Université de Lille I/59 655 Villeneuve d'Ascq/France (1 aut.); Loria, BP 101/54600 Villers-lès-Nancy/France (2 aut., 3 aut.)
DT :	Publication en série; Niveau analytique
SO :	Mathematics of computation; ISSN 0025-5718; Coden MCMPAF; Etats-Unis; Da. 1999; Vol. 68; No. 227; Pp. 1303-1310; Bibl. 15 ref.
LA :	Anglais
EA :	We show that every integer between 1290741 and 3.375 x 10¹² is a sum of 5 nonnegative cubes, from which we deduce that every integer which is a cubic residue modulo 9 and an invertible cubic residue modulo 37 is a sum of 7 nonnegative cubes.
CC :	001A02C02
FD :	Théorie nombre; Somme sept cubes; Identité Maillet; Hypothèse Riemann
ED :	Number theory; Sum of seve cubes; Maillet identity; Riemann hypothesis
SD :	Teoría números
LO :	INIST-5227.354000085626140250
ID :	99-0364402

Links to Exploration step

Pascal:99-0364402

Le document en format XML

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<front><div type="abstract" xml:lang="en">We show that every integer between 1290741 and 3.375 x 10<sup>12</sup>
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On sums of seven cubes

On sums of seven cubes

Source :

Descripteurs français

English descriptors

Abstract

Notice en format standard (ISO 2709)

Format Inist (serveur)

Links to Exploration step

Le document en format XML

Pour manipuler ce document sous Unix (Dilib)

Pour mettre un lien sur cette page dans le réseau Wicri