nonresidue

nonresidue

[‚nän′rez·ə‚dü]
(mathematics)
A nonresidue of m of order n, where m and n are integers, is an integer a such that x n = a + bm, where x and b are integers, has no solution.
References in periodicals archive ?
Hereafter referred to as nonresidue, Flemingia leaf, medic hay, and wheat straw, respectively.
At the 48-day harvest, application of medic hay, Flemingia leaf, and wheat straw in the presence of N alone produced increased plant top yield compared with the nonresidue control.
n] + 1/179) = -1, since 128, 105 and 53 are quadratic nonresidues modulo 179, so that we can eliminate n [equivalent to] 15, 25 and 51 (mod 72).
49] + 1 [equivalent to] 62, 52, 62 or 31 (mod 73), by Table 3(a) and all of them are quadratic nonresidues modulo 73.
n] + 1 [equivalent to] 73, 70, 71, 15, 15, 29, 71, 70, 307, 267, 266, 314, 314, 266, 267, 307, 269, 268, 29, 268, 269, 73 or 314 (mod 337) respectively, and all of them are quadratic nonresidues modulo 337, showing
n] + 1 [equivalent to] 45 or 83 (mod 127) and they are quadratic nonresidues modulo 127.
n] + 1 [equivalent to] 226, 226 or 212 (mod 239) respectively and they are all quadratic nonresidues modulo 239.
n] + 1 [equivalent to] 11 or 2 (mod 13) respectively and they are quadratic nonresidues modulo 13.
n] + 1 [equivalent to] 3 (mod 29) and 3 is a quadratic nonresidues modulo 29.
n] + 1 [equivalent to] 15 or 11 (mod 31) and they are quadratic nonresidues modulo 31.
n] + 1 [equivalent to] 178 or 194 (mod 269) and they are quadratic nonresidues modulo 269.
n] + 1 [equivalent to] 12 or 3 (mod 19) and they are quadratic nonresidues modulo 19.