Dedekind sums and the transformation formula in function fields

作者：Hamahata Yoshinori^*

来源：International Journal of Number Theory, 2016, 12(8): 2061-2072.

DOI：10.1142/S1793042116501232

• Dedekind sum
• Dedekind eta function
• function fields

Dedekind used the classical Dedekind sum D(a, c) to describe the transformation of log eta(z) under the substitution z' = (az + b)/(cz + d),
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epsilon SL2(Z). In this paper, we use the Dedekind sum s(a, c) in function fields to describe the transformation of a certain series under the substitution z' = (az + b)/(cz + d),
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epsilon GL(2)(Fq[T]).

• 出版日期2016-12