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Fast-growing series are transcendental
Let $R$ be a subring of $\mathbb{C}[[z]]$, and let $X \in \mathbb{C}[[z]]$.
Number Theory Commutative Algebra Complex Variables 11J81 (Primary), 13F25, 30B10 (Secondary)
The arithmetic of modular grids
A modular grid is a pair of sequences $(f_m)_m$ and $(g_n)_n$ of weakly holomorphic modular forms such that for almost all $m$ and $n$, the coefficient of $q^n$ in $f_m$ is the negative of the coefficient of $q^m$ in $g_n$.
Number Theory 11F30, 11F37
A Savage-Like Axiomatization for Nonstandard Expected Utility
Since Leonard Savage's epoch-making "Foundations of Statistics", Subjective Expected Utility Theory has been the presumptive model for decision-making.
