On Cyclotomic Numbers of Order Sixteen
1954 ◽
Vol 6
◽
pp. 449-454
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Keyword(s):
It has been shown by Dickson (1) that if (i, j)8 is the number of solutions of (mod p),then 64(i,j)8 is expressible for each i,j, as a linear combination with integer coefficients of p, x, y, a, and b where,anda ≡ b ≡ 1 (mod 4),while the sign of y and b depends on the choice of the primitive root g. There are actually four sets of such formulas depending on whether p is of the form 16n + 1 or 16n + 9 and whether 2 is a quartic residue or not.
2015 ◽
Vol 93
(3)
◽
pp. 364-371
1969 ◽
Vol 66
(1)
◽
pp. 61-70
◽
2016 ◽
Vol 160
(3)
◽
pp. 477-494
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Keyword(s):
1953 ◽
Vol 10
(1)
◽
pp. 16-20
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Keyword(s):
2008 ◽
Vol 78
(266)
◽
pp. 1193-1195
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1969 ◽
Vol 12
(5)
◽
pp. 545-565
◽
1967 ◽
Vol 10
(4)
◽
pp. 579-583
◽
1960 ◽
Vol 56
(4)
◽
pp. 322-328
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1953 ◽
Vol 5
◽
pp. 433-438
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