107 research outputs found

    Evaluating Binomial Character Sums Modulo Powers of Two

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    We show that for any mod 2m2^m characters, χ1,χ2,\chi_1, \chi_2, the complete exponential sum, ∑x=12mχ1(x)χ2(Axk+B), \sum_{x=1}^{2^m}\chi_1(x) \chi_2(Ax^k+B), has a simple explicit evaluation

    Autobiographies of Ethnic Americans

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    Compiled from Resources in The Minorities Resource/Research Cente

    Semi-idempotent and semi-strongly continuous measures

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    Evaluating Prime Power Gauss and Jacobi Sums

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    We show that for any mod pmp^m characters, χ1,…,χk,\chi_1, \dots, \chi_k, the Jacobi sum, ∑x1=1pm⋯∑xk=1x1+⋯+xk=Bpmχ1(x1)…χk(xk), \sum_{x_1=1}^{p^m}\dots \sum_{\substack{x_k=1\\x_1+\dots+x_k=B}}^{p^m}\chi_1(x_1)\dots \chi_k(x_k), has a simple evaluation when mm is sufficiently large (for m≥2m\geq 2 if p∤Bp\nmid B). As part of the proof we give a simple evaluation of the mod pmp^m Gauss sums when m≥2m\geq 2

    Poetry Reading: Third World Women Poets

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    One of several poetry readings at the 1980 NWSA Conuention included the following poems
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