2023/08/11 by Wei-Cheng Huang, Huang, Wei-Cheng
Mathematics · #Advanced Combinatorial Mathematics #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #Number Theory (math.NT)
paper · pdf · doi:10.48550/arxiv.2308.06340
openalex publication_date 2023/08/11 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Following the same framework of the special value results of convolutions of Goss and Pellarin L-series attached to Drinfeld modules that take values in Tate algebras by Papanikolas and the author, we establish special value results of convolutions of two Goss L-series attached to Drinfeld modules that take values in \mathbbFq( (\frac1θ) ). Applying the class module formula of Fang to tensor products of two Drinfeld modules, we provide special value formulas for their L-functions. By way of the theory of Schur polynomials these identities take the form of specializations of convolutions of Rankin-Selberg type. Finally, we show an explicit computation of the regulators appearing in Fang's class module formula for tensor products as well as symmetric and alternating squares of Drinfeld modules.