Algebraic number theory is a foundational branch of mathematics that investigates the properties of algebraic numbers and their relationships through the lens of field extensions and rings of integers ...
Let 𝐾 be a number field with algebraic closure K¯, and let 𝑆 be a finite set of places of 𝐾 containing all the infinite ones. Let Γ₀ be a finitely generated subgroup of Gm(K¯), and let Γ⊂Gm(K¯) be ...
Tsukuba Journal of Mathematics, Vol. 37, No. 1 (July 2013), pp. 1-11 (11 pages) In Theorem 2.5 in previous paper [4], we determined the Fourier coefficients of the image of Shimura correspondence of ...
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