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cs.SC2026
Complete Reductions and Idempotent Representations for -towers
Yiman Gao, Jakob Obrovsky, Carsten Schneider
-extensions form a rich class of difference rings that provide a unified algebraic framework for modeling indefinite nested sums, transcendental products, and nested product…
cs.SC2026
Complete Reduction for Derivatives in a Transcendental Liouvillian Extension
Shaoshi Chen, Hao Du, Yiman Gao +3
Transcendental Liouvillian extensions are differential fields, in which one can model poly-logarithmic, hyperexponential, and trigonometric functions, logarithmic integrals, and th…