Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Hyperderivatives of periods and quasi-periods for Anderson $t$-modules   We investigate periods, quasi-periods, logarithms, and quasi-logarithms of
Anderson $t$-modules, as well as their hyperderivatives. We develop a
comprehensive account of how these values can be obtained through rigid
analytic trivializations of abelian and $\mathbf{A}$-finite $t$-modules. To do
this we build on the exponentiation theorem of Anderson and investigate
quasi-periodic extensions of $t$-modules through Anderson generating functions.
By applying these results to prolongation $t$-modules of Maurischat, we
integrate hyperderivatives of these values together with previous work of
Brownawell and Denis in this framework.

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The categories of this paper are: math-ph
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The categories of this paper are: nucl-ex
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The categories of this paper are: q-bio
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The categories of this paper are: ao-sci
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The categories of this paper are: cs
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The categories of this paper are: eess
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The categories of this paper are: astro-ph
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The categories of this paper are: funct-an
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The categories of this paper are: patt-sol
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The categories of this paper are: atom-ph
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The categories of this paper are: nlin
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The categories of this paper are: chao-dyn
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The categories of this paper are: acc-phys
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The categories of this paper are: econ
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The categories of this paper are: quant-ph
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The categories of this paper are: stat