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On an assertion of Ramanujan concerning binary quadratic forms - MaRDI portal

On an assertion of Ramanujan concerning binary quadratic forms (Q2277002)

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On an assertion of Ramanujan concerning binary quadratic forms
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    On an assertion of Ramanujan concerning binary quadratic forms (English)
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    1991
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    In Ramanujan's notebook there is the following statement: ``If a prime of the form \(An+B\) can be expressed as \(ax^ 2-by^ 2,\) then a prime of the form \(An-B\) can be expressed as \(bx^ 2-ay^ 2\)''. A precise form of this assertion is proved by means of the classical theory of binary quadratic forms and several examples are given.
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    Ramanujan's notebook
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    binary quadratic forms
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