Ramanujan's "Lost" notebook IX

The partial theta function as an entire function

Research output: Contribution to journalArticle

14 Citations (Scopus)

Abstract

We establish the infinite product expansion for ∑n≥0anqn2. This is a corrected version of theexpansion stated in Ramanujan's "Lost" Notebook. The proof requires the study of a newfamily of polynomials which while not orthogonal have many similar properties.

Original languageEnglish (US)
Pages (from-to)408-422
Number of pages15
JournalAdvances in Mathematics
Volume191
Issue number2
DOIs
StatePublished - Mar 1 2005

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Ramanujan's Lost Notebook
Infinite product
Theta Functions
Entire Function
Partial
Polynomial

All Science Journal Classification (ASJC) codes

  • Mathematics(all)

Cite this

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Ramanujan's "Lost" notebook IX : The partial theta function as an entire function. / Andrews, George E.

In: Advances in Mathematics, Vol. 191, No. 2, 01.03.2005, p. 408-422.

Research output: Contribution to journalArticle

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