Alfio Fabio La Rosa

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20222024

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math.NT2024

On C-Algebraic and C-Arithmetic Automorphic Representations

Alfio Fabio La Rosa

In the first part of the article, we consider the conjecture of K. Buzzard and T. Gee proposing that every C-algebraic automorphic representation is C-arithmetic, and we show that…

math.NT2022

Splitting fields of $X^{n} - X - 1$ (particularly for $n = 5$ ), prime decomposition and modular forms

Chandrashekhar B. Khare, Alfio Fabio La Rosa, Gabor Wiese

We study the splitting fields of the family of polynomials $f_{n} (X) = X^{n} - X - 1$ . This family of polynomials has been much studied in the literature and has some remarkable properties.…

On C-Algebraic and C-Arithmetic Automorphic Representations

Splitting fields of Xn−X−1 (particularly for n=5), prime decomposition and modular forms

Splitting fields of $X^{n} - X - 1$ (particularly for $n = 5$ ), prime decomposition and modular forms