Theta series of quaternary quadratic forms over Z and Z[(1 + √p)/2]
نویسندگان
چکیده
منابع مشابه
Theta functions of quadratic forms over imaginary quadratic fields
is a modular form of weight n/2 on Γ0(N), where N is the level of Q, i.e. NQ−1 is integral and NQ−1 has even diagonal entries. This was proved by Schoeneberg [5] for even n and by Pfetzer [3] for odd n. Shimura [6] uses the Poisson summation formula to generalize their results for arbitrary n and he also computes the theta multiplier explicitly. Stark [8] gives a different proof by converting θ...
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ژورنال
عنوان ژورنال: Acta Arithmetica
سال: 1985
ISSN: 0065-1036,1730-6264
DOI: 10.4064/aa-45-1-75-91