A NOTE ON BINARY QUADRATIC FORMS WITH POSITIVE DISCRIMINANT D not equal square

作者：Beltz Erwin^*; Fokkink Robbert; Kraaikamp Cor

来源：Proceedings of the Romanian Academy - Series A: Mathematics, Physics, Technical Sciences, Information Science , 2015, 16(1): 28-31.

• binary quadratic form
• continued fraction
• reduced form

In Theorem 1 [1, p. 122], in his monograph on zeta-functions and quadratic fields, Don Zagier states among other things that any two equivalent reduced binary quadratic forms belong to the same cycle. All the statements of the theorem are proved, except the statement just mentioned. In this note we show that Zagier's statement is also correct, thus completing Zagier's proof.

• 出版日期2015-3