The constant term of the minimal polynomial of cos(2pi/n) over Q
نویسندگان
چکیده
These groups are isomorphic to the free product of two finite cyclic groups of orders and q. The first few Hecke groups are H(λ) = = PSL(,Z) (the modular group), H(λ) = H( √ ), H(λ) = H( + √ ), and H(λ) = H( √ ). It is clear from the above that H(λq) ⊂ PSL(,Z[λq]), but unlike in the modular group case (the case q = ), the inclusion is strict and the index [PSL(,Z[λq]) :H(λq)] is infinite as H(λq) is discrete, whereas PSL(,Z[λq]) is not for q≥ . On the other hand, it is well known that ζ , a primitive nth root of unity, satisfies the equation
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