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math.NT2012★ 15 cited
Explicit Formulae for -values in Positive Characteristic
Rudolph Bronson Perkins
We focus on the generating series for the rational special values of Pellarin's -series in indeterminates, and using interpolation polynomials we prove a…
math.NT2012★ 17 cited
On Pellarin's -series
Rudolph Bronson Perkins
Necessary and sufficient conditions are given for a negative integer to be a trivial zero of a new type of -series recently discovered by F. Pellarin, and it is shown that any s…