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Prime numbers, diophantine equations, diophantine approximations, analytic or algebraic number theory, arithmetic geometry, Galois theory, transcendental number theory, continued fractions

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Is there a bijection between elements in algebraic closure of F2 and all bi-infinite periodi...

(And if so, how can I describe the "multiplication" on the sequence?) We consider a bijection, denoted by $f$, from the algebraic closure of $\mathbb{F}_2$, named $\bar{\mathbb{F}_2}$, to the set $S\s …
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