Geodesic
Small Solutions of Congruences in a Large Number of Variables1
Canadian mathematical bulletin, Tome 28 (1985) no. 3, pp. 295-305

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It is shown that a system of congruences 1(x) ≡ . . . ≡ (x) = 0 (mod m)where each i(x) = i,(x 1, .. . ,x 2,) is a form of degree at most k has a nontrivial solution x satisfying |xi|≦cm(1⁄2)+∊(i=1,...,S)with c = c(k,r,∊), provided that ∊ > 0 and that S > S1(k,r,∊).
DOI : 10.4153/CMB-1985-035-9
Mots-clés : 10B30, 10C10 
Schmidt, Wolfgang M. Small Solutions of Congruences in a Large Number of Variables1. Canadian mathematical bulletin, Tome 28 (1985) no. 3, pp. 295-305. doi: 10.4153/CMB-1985-035-9
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     title = {Small {Solutions} of {Congruences} in a {Large} {Number} of {Variables1}},
     journal = {Canadian mathematical bulletin},
     pages = {295--305},
     year = {1985},
     volume = {28},
     number = {3},
     doi = {10.4153/CMB-1985-035-9},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1985-035-9/}
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