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On the equations Ax = q and SX − XT = Q

✍ Scribed by Sen-Yen Shaw; S.C Lin

Publisher
Elsevier Science
Year
1988
Tongue
English
Weight
586 KB
Volume
77
Category
Article
ISSN
0022-1236

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In this paper it has been proved that if q is an odd prime, qc7 ðmod 8Þ; n is an odd integer 55, n is not a multiple of 3 and ðh; nÞ ¼ 1, where h is the class number of the filed Qð ffiffiffiffiffiffi ffi Àq p Þ, then the diophantine equation x 2 þ q 2kþ1 ¼ y n has exactly two families of solutions