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  • A Note on the Transcendence of Zeros of a Certain Family of Weakly Holomorphic Forms

    Creator:
    Jennings-Shaffer, Chris and Swisher, Holly
    Abstract:
    Recently, Duke and Jenkins have studied a certain family of modular forms fk,m, that form a natural basis of the space of weakly holomorphic modular forms of weight k on SL2(Z). In particular, they prove that for all but at most [k/12] + 1 values of m, the zeros of...
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    Article
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    :10.1142/S1793042113500942 10.1142/S1793042113500942 World Scientific Publishing Co. Accepted Manuscript

  • Norm-Euclidean cyclic fields of prime degree

    Creator:
    McGown, Kevin J.
    Abstract:
    Let K be a cyclic number field of prime degree ℓ. Heilbronn showed that for a given ℓ there are only finitely many such fields that are norm-Euclidean. In the case of ℓ = 2 all such norm-Euclidean fields have been identified, but for ℓ ≠ 2, little else is...
    Resource Type:
    Article

  • Inequalities for positive rank and crank moments of overpartitions

    Creator:
    Larsen, Acadia, Rust, Alexa, and Swisher, Holly
    Abstract:
    In recent work, Andrews, Chan, and Kim extend a result of Garvan about even rank and crank moments of partitions to positive moments. In a similar fashion we extend a result of Mao about even rank moments of overpartitions. We investigate positive Dyson-rank, M₂-rank, first residual crank, and second residual...
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    Article
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    World Scientific Publishing Company Accepted Manuscript http://cdss.library.oregonstate.edu/sa

  • Learning indirect actions in complex domains: action suggestions for air traffic control

    Creator:
    Agogino, Adrian and Tumer, Kagan
    Abstract:
    Providing intelligent algorithms to manage the ever-increasing flow of air traffic is critical to the efficiency and economic viability of air transportation systems. Yet, current automated solutions leave existing human controllers “out of the loop" rendering the potential solutions both technically dangerous (e.g., inability to react to suddenly developing conditions)...
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    Article
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    through improving its fitness in response to actions [4]. In many real world systems, the agent actions