3 problems

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A nonlinear gcd bound for a nested algebraic approximation
The third nonlinear gcd conjecture. For sufficiently large $m$ ,
Conjectureopenb-ary-expansions greatest-common-divisors number-theoryarXiv posted 2 days ago
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A nonlinear gcd bound for products of two fractional-part approximations
The first nonlinear gcd conjecture. For sufficiently large $m$ ,
Conjectureopenb-ary-expansions greatest-common-divisors number-theoryarXiv posted 2 days ago
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Generalized Borel conjecture for algebraically independent base- $b$ expansions
Let $b\geq 2$ be an integer base, and let $(\alpha_1,\ldots,\alpha_n)$ be an $n$ -tuple of real numbers. Writing their base- $b$ expansions in aligned columns, call the tuple normal…
Conjectureopenb-ary-expansions normal-numbers number-theoryarXiv posted 2 days ago

A nonlinear gcd bound for a nested algebraic approximation