145 citations · 451 across the 29 of their papers we have counts for
31 papers
Hecke -series for Sinha modules
Erik Davis, Matthew Papanikolas
We investigate Goss -functions associated to Anderson -modules defined by Sinha having complex multiplication by Carlitz cyclotomic fields. We show that these -modules are…
Convolutions of Goss and Pellarin -series
Wei-Cheng Huang, Matthew A. Papanikolas
We establish special value results of convolutions of Goss and Pellarin -series attached to Drinfeld modules that take values in Tate algebras. Applying the class module formula…
A note on log-algebraicity on elliptic curves
Wei-Cheng Huang, Matthew Papanikolas
We analyze log-algebraic power series identities for formal groups of elliptic curves over which arise from modular parametrizations. We further investigate applicatio…
Function Field Analogue of Shimura's Conjecture on Period Symbols
W. Dale Brownawell, Chieh-Yu Chang, Matthew A. Papanikolas +1
In this paper we introduce the notion of Shimura's period symbols over function fields in positive characteristic and establish their fundamental properties. We further formulate a…
Effective rigid analytic trivializations for Drinfeld modules
Chalinee Khaochim, Matthew A. Papanikolas
We develop tools for constructing rigid analytic trivializations for Drinfeld modules as infinite products of Frobenius twists of matrices, from which we recover the rigid analytic…
Hyperderivatives of periods and quasi-periods for Anderson -modules
Changningphaabi Namoijam, Matthew A. Papanikolas
We investigate periods, quasi-periods, logarithms, and quasi-logarithms of Anderson -modules, as well as their hyperderivatives. We develop a comprehensive account of how these…