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논문

Asymptotics for q-expansions involving partial theta functions

  • 저자Byungchan Kim, Eunmi Kim, Jeehyeon Seo
  • 학술지Discrete Mathematics 338, 180-189
  • 등재유형
  • 게재일자(2015)
We obtain effective asymptotics for the coefficients of q-expansions which involve partial theta functions. As applications, we obtain effective asymptotics for ranks, and cranks of integer partitions. Moreover, from these effective estimates, we obtain asymptotic inequalities among them with effective lower bounds.
We obtain effective asymptotics for the coefficients of q-expansions which involve partial theta functions. As applications, we obtain effective asymptotics for ranks, and cranks of integer partitions. Moreover, from these effective estimates, we obtain asymptotic inequalities among them with effective lower bounds.

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