Pell-type equations and class number of the maximal real subfield of a cyclotomic field

Author:

Hoque Azizul,Chakraborty Kalyan

Publisher

Springer Science and Business Media LLC

Subject

Algebra and Number Theory

Reference11 articles.

1. Ankeny, N.C., Chowla, S., Hasse, H.: On the class-number of the maximal real subfield of a cyclotomic field. J. Reine Angew. Math. 217, 217–220 (1965)

2. Dickson, L.E.: History of the Theory of Numbers, vol. 2. Chelsea, New York (1952)

3. Hoque, A., Saikia, H.K.: On the class-number of the maximal real subfield of a cyclotomic field. Quaes. Math. 37(7), 889–894 (2016)

4. Kaplan, P., Williams, K.S.: Pell’s equations $$X^2-mY^2=-1, -4$$ X 2 - m Y 2 = - 1 , - 4 and continued fractions. J. Number Theory 23, 169–182 (1986)

5. Lang, S.D.: Note on the class-number of the maximal real subfield of a cyclotomic field. J. Reine Angew. Math. 290, 70–72 (1977)

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