Construction of all Polynomial Relations among Dedekind Eta Functions of Level N
نویسندگان
چکیده
We describe an algorithm that, given a positive integer N , computes a Gröbner basis of the ideal of polynomial relations among Dedekind ηfunctions of level N , i. e., among the elements of {η(δ1τ), . . . , η(δnτ)} where 1 = δ1 < δ2 · · · < δn = N are the positive divisors of N . More precisely, we find a finite generating set (which is also a Gröbner basis) of the ideal kerφ where φ : Q[E1, . . . , En]→ Q[η(δ1τ), . . . , η(δnτ)], Ek 7→ η(δkτ), k = 1, . . . , n.
منابع مشابه
Elliptic analogue of the Hardy sums related to elliptic Bernoulli functions
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