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SETS WITH EVEN PARTITION FUNCTIONS AND CYCLOTOMIC NUMBERS

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Publication:2811981
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DOI10.1017/S1446788715000439zbMath1443.11217MaRDI QIDQ2811981

N. Baccar

Publication date: 10 June 2016

Published in: Journal of the Australian Mathematical Society (Search for Journal in Brave)


zbMATH Keywords

partitionscyclotomic polynomialscyclotomic numbersresultantperiodic sequencesGaussian periods2-adic integersorder of a polynomial


Mathematics Subject Classification ID

Partitions; congruences and congruential restrictions (11P83) Polynomials in number theory (11C08) Sequences (mod (m)) (11B50)


Related Items (1)

Even partition functions and $2$-adic analysis



Cites Work

  • On the divisor function of sets with even partition functions
  • On the elements of sets with even partition function
  • Sets with even partition functions and 2-adic integers
  • On the parity of additive representation functions
  • Resolution of the sign ambiguity in the determination of the cyclotomic numbers of order 4 and the corresponding Jacobsthal sum.
  • Cyclotomy, Higher Congruences, and Waring's Problem
  • Properties that characterize Gaussian periods and cyclotomic numbers
  • ON SETS SUCH THAT THE PARTITION FUNCTION IS EVEN FROM A CERTAIN POINT ON
  • Unnamed Item


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