On p-adic zeros of systems of diagonal forms restricted by a congruence condition

dc.creator	Godhino, Hemar
dc.creator	Rodrigues, Paulo Henrique de Azevedo
dc.date.accessioned	2017-09-12T18:49:11Z
dc.date.available	2017-09-12T18:49:11Z
dc.date.issued	2007
dc.description.resumo	This paper is concerned with non-trivial solvability in p-adic integers of systems of additive forms. Assuming that the congruence equation axk + byk + czk d (mod p) has a solution with xyz 0 0 (mod p) we have proved that any system of R addi-tive forms of degree k with at least 2. 3R-1 • k + 1 variables, has always non-trivial p-adic solutions, provided p f lc. The assumption of the solubility of the above congruence equation is guaranteed, for example, if p > k4.	pt_BR
dc.identifier.citation	GODHINO, Hemar; RODRIGUES, Paulo H. A. On p-adic zeros of systems of diagonal forms restricted by a congruence condition. Journal de Théorie des Nombres de Bordeaux, Bordeaux, v. 19, p. 205-219, 2007.	pt_BR
dc.identifier.uri	http://repositorio.bc.ufg.br/handle/ri/12430
dc.language.iso	eng	pt_BR
dc.publisher.country	França	pt_BR
dc.publisher.department	Instituto de Matemática e Estatística - IME (RG)	pt_BR
dc.rights	Acesso Aberto	pt_BR
dc.title	On p-adic zeros of systems of diagonal forms restricted by a congruence condition	pt_BR
dc.type	Artigo	pt_BR

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