On the Néron model of jacobians of Shimura curves

Bruce W. Jordan; Ron A. Livné

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Frobenius indices of certain curves over finite fields.

Keisuke Toki (1999)

Collectanea Mathematica

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Exceptional modular form of weight 4 on an exceptional domain contained in C.

Henry H. Kim (1993)

Revista Matemática Iberoamericana

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Resnikoff [12] proved that weights of a non trivial singular modular form should be integral multiples of 1/2, 1, 2, 4 for the Siegel, Hermitian, quaternion and exceptional cases, respectively. The θ-functions in the Siegel, Hermitian and quaternion cases provide examples of singular modular forms (Krieg [10]). Shimura [15] obtained a modular form of half-integral weight by analytically continuing an Eisenstein series. Bump and Bailey suggested the possibility of applying an analogue...

On Nonadaptive Search Problem

Kolev, Emil (2003)

Serdica Mathematical Journal

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2000 Mathematics Subject Classification: 91A46, 91A35. We consider nonadaptive search problem for an unknown element x from the set A = {1, 2, 3, . . . , 2^n}, n ≥ 3. For fixed integer S the questions are of the form: Does x belong to a subset B of A, where the sum of the elements of B is equal to S? We wish to find all integers S for which nonadaptive search with n questions finds x. We continue our investigation from [4] and solve the last remaining case n = 2^k , k ≥ 2. ...