Zeta functions and L-series in positive characteristic
timetable:
Fri 30 Nov, 9:00 - 10:15, Sala Conferenze Centro De Giorgi
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Log-algebraicity calculations when \(n > q\)
speaker: Matthew Papanikolas (Texas A&M University)abstract: As shown by Anderson and Thakur, log-algebraicity identities on Drinfeld modules and t-modules are closely tied in with special values of L-functions in characteristic \(p\). We will consider log-algebraicity identities on tensor powers of the Carlitz module and their connections with special values of Goss L-functions of Dirichlet type. If we let \(n\) be the tensor power taken and q the size of the underlying finite field, previous results cover cases where \(n\leq q\). In this talk we will use these results as a guide to focus particularly on log-algebraicity identities where \(n > q\).
timetable:
Fri 30 Nov, 9:00 - 10:15, Sala Conferenze Centro De Giorgi
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