Daichi Matsuzuki
Published 2024-04-25Version 1
We study algebraic independence problem for the Taylor coefficients of the Anderson-Thakur series arisen as deformation series of positive characteristic multiple zeta values (abbreviated as MZV's). These Taylor coefficients are simply specialization of hyperderivatives of the Anderson-Thakur series. We consider the prolongation of t-motives associated with MZV's, and then determine the dimension of the t-motivic Galois groups in question under certain hypothesis. By using Papanikolas' theory, it enables us to obtain the desired algebraic independence result.
Taylor coefficients of the Jacobi $θ_{3}\left( q \right)$ function
On the integrality of the Taylor coefficients of mirror maps
On the integrality of the Taylor coefficients of mirror maps
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