5 papers · 1 filter
On Log-Algebraic Identities for Anderson t-modules and Characteristic p Multiple Zeta Values
Nathan Green, Tuan Ngo Dac
Based on the notion of Stark units we present a new approach that obtains refinements of log-algebraic identities for Anderson t-modules. As a consequence, we establish a generaliz…
Algebraic Relations among Goss's Zeta Values on Elliptic Curves
Nathan Green, Tuan Ngo Dac
In 2007 Chang and Yu determined all the algebraic relations among Goss's zeta values for the rational function field - these are also known as the Carlitz zeta values. Goss raised…
Taylor coefficients of Anderson-Thakur series and explicit formulae
Chieh-Yu Chang, Nathan Green, Yoshinori Mishiba
For each positive characteristic multiple zeta value (defined by Thakur), the first and third authors constructed a -module together with an algebraic point such that a specifie…
Tensor powers of rank 1 Drinfeld modules and periods
Nathan Green
We study tensor powers of rank 1 sign-normalized Drinfeld A-modules, where A is the coordinate ring of an elliptic curve over a finite field. Using the theory of A-motives, we find…
Special zeta values using tensor powers of Drinfeld modules
Nathan Green
We study tensor powers of rank 1 sign-normalized Drinfeld A-modules, where A is the coordinate ring of an elliptic curve over a finite field. Using the theory of vector valued Ande…