Academic
Publications
Primzahlen als achte Potenzreste

Primzahlen als achte Potenzreste,10.1515/crll.1974.266.107,Journal Fur Die Reine Und Angewandte Mathematik,Horst von Lienen

Primzahlen als achte Potenzreste   (Citations: 1)
BibTex | RIS | RefWorks Download
Journal: Journal Fur Die Reine Und Angewandte Mathematik - J REINE ANGEW MATH , vol. 1974, no. 266, pp. 107-117, 1974
Cumulative Annual
View Publication
The following links allow you to view full publications. These links are maintained by other sources not affiliated with Microsoft Academic Search.
    • ...(3.1) ind (3) = 2 Σ Σ (1 + 2r, 1 + 3^)6 + 2Lzl (mod 4) ...
    • ...2/ - (0, l)β - (0, 5)β - (1, 3)β + (1, 4)β ,...
    • ...ind (3) =—(p - x) - V + SLZll (mod 4) . 3 6...
    • ...V = —(P ~ 1) (mod 4) , b ind (3) = —(P -x) = —(1 - *) (mod 4) , 3 3...
    • ...3x = -p + 14 + 25(0, 0)β , u = (0, 2)5 - (0, 3)5, v = (0, 1)5 - (0, 4)5 , w = (1, 3). - (1, 2), ,...
    • ...3x = -p + 14 + 25(0, 0)β , u = (0, 2)5 - (0, 3)5, v = (0, 1)5 - (0, 4)5 , w = (1, 3). - (1, 2), ,...
    • ...(5.1) ind (3) ΞΞ 2 Σ i Σ Σ (* 4r, 1 + 3s)12 + i-(p 1) (mod 8)...
    • ...x = 6(0, 8)β - 6(1, 2)β + 1 , 2/ = (0, 1)6 - (0, 5)β - (1, 3)β (1, 4)6...
    • ...When m == 0 (mod 6), we must use Tables 9 and 10 of [6] and, when m = 2 (mod 6), we must use Tables 3 and 4. By considering the cyclotomic numbers (3, 6)12 in Table 9; (2.4) 12 in Table 10; (1, 2)12 in Table 3; (2, 8)12 in Table 4; it is easy to check that Whiteman's quantity c = ±1 (see [6: pp. 64-65]) satisfies...
    • ...so that (5.3) ind (3) = From Whiteman's tables, we obtain...
    • ...From (5.3) and (5.4) we obtain (5.5) ind(3)...
    • ...p + l-8a + 6χΞ=0 (mod 16) , so ind (3) £±i — (p-l)(mod8) , if a^ 6...

    Richard H. Hudsonet al. Some new residuacity criteria

Sort by: