Applications of differential algebra to algebraic independence of arithmetic functions
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algebraicarithmeticdifferentialfunctionsresultsalgebraalongapplications
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We generalize and unify the proofs of several results on algebraic in- dependence of arithmetic functions and Dirichlet series by a theorem of Ax on differential Schanuel conjecture. Along the way, we find counter-examples to some results in the literature.
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