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The Theory of Arithmetic Functions pp 1–20Cite as

Sieves for theorems of Euler, Rogers, and Ramanujan

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Part of the book series: Lecture Notes in Mathematics ((LNM,volume 251))

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References

  1. G. E. Andrews, An analytic proof of the Rogers-Ramanujan-Gordon identities, Amer. J. Math. 88 (1966), 844–846.

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  2. G. E. Andrews, A polynomial identity which implies the Rogers-Ramanujan identities, Scripta Math. 23 (1970), 297–305.

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  5. F. J. Dyson, Some guesses in the theory of partitions, Eureka 8 (1944), 10–15.

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  6. B. Gordon, A combinatorial generalization of the Rogers-Ramanujan identities, Amer. J. Math. 83 (1961), 393–399.

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  7. G. H. Hardy and E. M. Wright, An Introduction to the Theory of Numbers, Fourth Edition, Oxford University Press, Oxford, 1960.

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  9. I. J. Schur, Ein Beitag zur additiven Zahlentheorie, Sitzungsber. Akad. Wissensch., Berlin, Phys.-Math. Kl., 1917, 302–321.

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Authors and Affiliations

  1. Massachusetts Institute of Technology, USA

    George E. Andrews

  2. Pennsylvania State University, USA

    George E. Andrews

Authors
  1. George E. Andrews
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Anthony A. Gioia Donald L. Goldsmith

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© 1972 Springer-Verlag

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Andrews, G.E. (1972). Sieves for theorems of Euler, Rogers, and Ramanujan. In: Gioia, A.A., Goldsmith, D.L. (eds) The Theory of Arithmetic Functions. Lecture Notes in Mathematics, vol 251. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0058782

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  • DOI: https://doi.org/10.1007/BFb0058782

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-05723-9

  • Online ISBN: 978-3-540-37098-7

  • eBook Packages: Springer Book Archive

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