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Let be a positive integer which is not a perfect square and be any nonzero fixed integer. Then, the equation is known as the general Pell equation. In this paper,… Click to show full abstract
Let be a positive integer which is not a perfect square and be any nonzero fixed integer. Then, the equation is known as the general Pell equation. In this paper, we give some criteria for class numbers of certain real quadratic fields to be greater than one, depending on the solvability of the general Pell equation, ideals in quadratic orders, and the period length of the simple continued fraction expansions of .
Keywords:
numbers non;
class numbers;
non one;
equation;
criteria class
Journal Title: Journal of Mathematics
Year Published: 2020
Link to full text (if available)
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Journal Title: Journal of Mathematics
Year Published: 2020
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!