منابع مشابه
Networks via Hilbert Modular Forms
Ramanujan graphs, introduced by Lubotzky, Phillips and Sarnak, allow the design of efficient communication networks. In joint work with B. Jordan we gave a higher-dimensional generalization. Here we explain how one could use this generalization to construct efficient communication networks which allow for a number of verification protocols and for the distribution of information along several c...
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In this paper, we present an algorithm that allows one to compute Hilbert modular forms of parallel weight 2 and level c on GL2(F ), where F = Q( √ 5) is the real quadratic field of smallest discriminant. Though our calculations have mainly focused on forms of parallel weight 2, we have included some examples of forms of weight (2, 4) in order to show that this algorithm can easily be generaliz...
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متن کاملQuadratic Twists of Modular Forms and Elliptic Curves
Here we summarize the results presented in the first author’s lecture at the Millenial Conference on Number Theory. These results will be appearing in [O] in full detail. In addition, we present a new result regarding the growth of Tate-Shafarevich groups of certain elliptic curves over elementary abelian simple 2-extensions. We begin by fixing notation. Suppose that F (z) = ∑∞ n=1 a(n)q n ∈ S2...
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ژورنال
عنوان ژورنال: Transactions of the American Mathematical Society
سال: 1993
ISSN: 0002-9947,1088-6850
DOI: 10.1090/s0002-9947-1993-1102225-x