• Title/Summary/Keyword: Set functions

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Uniqueness of Meromorphic Functions and a Question of Gross

  • Yi, Hong-Xun;Lin, Wei-Chuan
    • Kyungpook Mathematical Journal
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    • v.46 no.3
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    • pp.437-444
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    • 2006
  • In this paper, we deal with the uniqueness of meromorphic functions concerning one question of Gross (see [5, Question 6]), and obtain some results that are improvements of that of former authors. Moreover, the example shows that the result is sharp.

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POLYGONAL PARTITIONS

  • Kim, Byungchan
    • Korean Journal of Mathematics
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    • v.26 no.2
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    • pp.167-174
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    • 2018
  • By acting the dihedral group $D_k$ on the set of k-tuple multi-partitions, we introduce k-gonal partitions for all positive integers k. We give generating functions for these new partition functions and investigate their arithmetic properties.

INTEGRATION STRUCTURES FOR THE OPERATOR-VALUED FEYNMAN INTEGRAL

  • Jefferies, Brian
    • Journal of the Korean Mathematical Society
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    • v.38 no.2
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    • pp.349-363
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    • 2001
  • The analytic in mass operator-valued Feynman integral is related to integration with respect to unbounded set functions formed from the semigroup obtained by analytic continuation of the heat semigroup and the spectral measure of multiplication by characteristics functions.

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Optimum Correlation Immune Semi-bent Functions (최적 상관 무결 semi-bent 함수)

  • 지성택;박상우;김대호;임종인
    • Journal of the Korea Institute of Information Security & Cryptology
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    • v.9 no.1
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    • pp.127-134
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    • 1999
  • Boolean functions have an important role for designing block ciphers and hash functions. In this paper, we propose a method for designing optimum correlation immune functions. We also analyze their cryptographic properties - balancedness, nonlinearity, correlation value to the set of linear functions, correlation immunity, propagation characteristic, and algebraic degree. Such functions are special type of Semi-bent functions [2,5]