caa a22 4500 445868821 CHVBK 20180317145505.0 cr unu---uuuuu 170323e20111201xx s 000 0 eng 10.1007/s00605-010-0253-5 doi (NATIONALLICENCE)springer-10.1007/s00605-010-0253-5 Liu Jianya School of Mathematics, Shandong University, 250100, Jinan, Shandong, China aut Integral points on quadrics with prime coordinates [Elektronische Daten] [Jianya Liu] Let f (x 1, . . . , x s ) be a regular indefinite integral quadratic form, and t an integer. Denote by V the affine quadric {x : f (x)=t}, and by $${V(\mathbb {P})}$$ the set of $${{\bf x}\in V}$$ whose coordinates are simultaneously prime. It is proved that, under suitable conditions, $${V(\mathbb{P})}$$ is Zariski dense in V as long as s ≥ 10. Springer-Verlag, 2010 Quadratic form nationallicence Exponential sum over primes nationallicence Circle method nationallicence Monatshefte für Mathematik Springer Vienna 164/4(2011-12-01), 439-465 0026-9255 164:4<439 2011 164 605 https://doi.org/10.1007/s00605-010-0253-5 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s00605-010-0253-5 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Liu Jianya School of Mathematics, Shandong University, 250100, Jinan, Shandong, China aut NATIONALLICENCE 773 0- Monatshefte für Mathematik Springer Vienna 164/4(2011-12-01), 439-465 0026-9255 164:4<439 2011 164 605 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer