On the divisibility of class numbers of quadratic fields and the solvability of diophantine equations

Author:

Hoque Azizul,Saikia Helen K.

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Control and Optimization,Modeling and Simulation,Numerical Analysis

Reference29 articles.

1. Ankeny, N.C., Artin, E., Chowla, S.: The class number of real quadratic fields. Ann. Math. 56, 479–493 (1952)

2. Blass, J.: A note on Diophantine equation $$y^2 + k = x^5$$ y 2 + k = x 5 . Math. Comp. 30, 638–640 (1976)

3. Blass, J., Steiner, R.: On the equation $$y^2 + k = x^7$$ y 2 + k = x 7 . Utilitas Math. 13, 293–297 (1978)

4. Brown, E.: Diophantine equations of the form $$x^2+D=y^n$$ x 2 + D = y n . J. Reine Angew. Math. 274, 385–389 (1975)

5. Chakraborty, K., Murty, R.: On the number of real quadratic fields with class number divisible by 3. Proc. Am. Math. Soc. 131, 41–44 (2002)

Cited by 3 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. On the Diophantine equation $$x^2+C=y^n$$;Indian Journal of Pure and Applied Mathematics;2022-11-17

2. On Lebesgue–Ramanujan–Nagell Type Equations;Class Groups of Number Fields and Related Topics;2020

3. On the solutions of a Lebesgue–Nagell type equation;Acta Mathematica Hungarica;2019-02-15

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