2025/12/22 by Li Lin Yang, Yiyang Zhang, Yang, Li Lin +1
Mathematics · #Advanced Mathematical Identities #Advanced Algebra and Geometry #Algebraic Geometry and Number Theory
paper · doi:10.48550/arxiv.2512.19370
We propose 'd E-forms' as fundamental building blocks of canonical integrands for elliptic Feynman integrals, which lead to Kronecker-Eisenstein ω-form symbol letters. Built upon pure elliptic multiple polylogarithms, they provide a natural extension of the 'd log-form' integrands and d log letters for polylogarithmic cases. By introducing an extended basis treating all marked points equally, we manifest a hidden symmetry structure in the canonical connection matrix, and demonstrate its covariance under modular transformations. Our result provides a novel perspective on describing canonical bases and symbol letters in a unified language of pure functions.