The Mathematical Gazette is the original journal of the Mathematical Association and it is now over a century old. Its readership is a mixture of school teachers, college and university lecturers, ...
In this module we study intergers, primes and equations. Topics covered include linear and quadratic congruences, Fermat Little Theorem and Euler's Theorem, the RSA cryptosystem, Quadratic Reciprocity ...
Abstract Let 𝐾 be a real quadratic field and 𝒪𝐾 its ring of integers. Let Γ be a congruence subgroup of SL₂(𝒪𝐾) and 𝑀(𝑘₁,𝑘₂)(Γ) be the finite dimensional space of Hilbert modular forms of ...