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Some formulas related to dilogarithms, the zeta function and the Andrews-Gordon identities

  • Bruce Richmond (a1) and George Szekeres (a2)

Abstract

It is shown that non-trivial relations between certain values of the dilogarithm function can be obtained through the asymptotic comparison of coefficients of the expressions which appear in the Rogers-Ramanujan and Andrews-Gordon identities.

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Copyright

References

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Abel, N. H. (1839), Oeuvres Complètes, vol. 2 (Gröndahl).
Abramowitz, Milton and Stegun, Irene A. (1964), Handbook of mathematical functions (National Bureau of Standards).
Andrews, George E. (1976), The theory of partitions (Encyclopedia of Mathematics and its Applications, vol. 2, Addison-Wesley).
Lewin, L. (1958), Dilogarithms (Macdonald, London).
Richmond, B. and Szekeres, G. (1978), ‘The Taylor coefficients of certain infinite products’, Acta Sci. Math. 40, 347369.
Szekeres, G. (1953), ‘Some asymptotic formulae in the theory of partitions II’, Quart. J. Math. Oxford Ser. 4, 96111.
Watson, G. N. (1937), ‘A note on Spence's logarithmic transcendant’, Quart. J. Math. Oxford Ser. 8, 3942.
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Some formulas related to dilogarithms, the zeta function and the Andrews-Gordon identities

  • Bruce Richmond (a1) and George Szekeres (a2)

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