Joseph Burnett, Alex Taylor
Published 2022-02-28Version 1
Expanding upon recent work, a new class of $A$-functions is introduced that can be viewed as an appropriate generalization of the class of regular $A$-functions, the class of structured $A$-functions, and the class of perfect $A$-functions. Algebraic results are discussed and analysis is performed to deduce new results concerning rational arithmetical functions.
Algebraic Results on SP Numbers along with a generalization
An open image theorem for a general class of abelian varieties
Exponents of Diophantine approximation in dimension two for a general class of numbers
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