General Ramanujan-type diophantine equations and their complete solution

[摘要] Ramanujan's equation X(2)+7=(n+2) is generalized in a natural way to the form B-n(2) + 7A(n)(2)=2(n+2), and its complete solution is given. Within this class of equations Ramanujan's equation becomes a special case, and all the results obtained apply to it. The generalized equation is rich in producing interesting results, among them many recursion relations. We do nor think that the consequences of it are still exhausted. (C) 1995 Academic Press, Inc.

[发布日期] 1995-12-01