On Atkin and Swinnerton-Dyer congruence relations (2)
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چکیده
منابع مشابه
On Atkin and Swinnerton-dyer Congruence Relations (2)
In this paper we give an example of a noncongruence subgroup whose three-dimensional space of cusp forms of weight 3 has the following properties. For each of the four residue classes of odd primes modulo 8 there is a basis whose Fourier coefficients at infinity satisfy a three-term Atkin and Swinnerton-Dyer congruence relation, which is the p-adic analogue of the threeterm recursion satisfied ...
متن کاملOn Atkin and Swinnerton-dyer Congruence Relations (3)
In the previous two papers with the same title ([LLY05] by W.C. Li, L. Long, Z. Yang and [ALL05] by A.O.L. Atkin, W.C. Li, L. Long), the authors have studied special families of cuspforms for noncongruence arithmetic subgroups. It was found that the Fourier coefficients of these modular forms at infinity satisfy three-term Atkin and Swinnerton-Dyer congruence relations which are the p-adic anal...
متن کاملOn Atkin and Swinnerton - Dyer Congruence
In this paper we give an example of a noncongruence subgroup whose three-dimensional space of cusp forms of weight 3 has the following properties. For each of the four residue classes of odd primes modulo 8 there is a basis whose Fourier coefficients at infinity satisfy a three-term Atkin and Swinnerton-Dyer congruence relation, which is the p-adic analogue of the threeterm recursion satisfied ...
متن کاملModular Forms on Noncongruence Subgroups and Atkin-Swinnerton-Dyer Relations
This is a joint project with Liqun Fang Ben Linowitz Andrew Rupinski Helena Verrill We give new examples of modular forms on noncongruence subgroups whose l-adic representations are modular and whose expansion coefficients satisfy Atkin-Swinnerton-Dyer congruences.
متن کاملWinquist and the Atkin-Swinnerton-Dyer partition congruences for modulus 11
We derive the Atkin–Swinnerton–Dyer partition congruences for the modulus 11 by use of Winquist’s identity. Classification: 11P83
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ژورنال
عنوان ژورنال: Mathematische Annalen
سال: 2007
ISSN: 0025-5831,1432-1807
DOI: 10.1007/s00208-007-0154-7