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Probabilities as values of modular forms and continued fractions

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Publication:1035182
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DOI10.1155/2009/941920zbMath1193.60014OpenAlexW2118602432WikidataQ58648531 ScholiaQ58648531MaRDI QIDQ1035182

Riad Masri, Ken Ono

Publication date: 10 November 2009

Published in: International Journal of Mathematics and Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/45741



Mathematics Subject Classification ID

Combinatorial aspects of partitions of integers (05A17) Combinatorial probability (60C05) Basic hypergeometric functions in one variable, ({}_rphi_s) (33D15) Holomorphic modular forms of integral weight (11F11)




Cites Work

  • Unnamed Item
  • Unnamed Item
  • Integrals, partitions and MacMahon's theorem
  • Modular forms and Eisenstein's continued fractions
  • An extension of the Hardy-Ramanujan circle method and applications to partitions without sequences
  • The continued fractions found in the unorganized portions of Ramanujan’s notebooks
  • Analytic Number Theory
  • Integrals, partitions, and cellular automata
  • Partitionen mit Differenzenbedingungen.


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