Ramanujan-Type Partial Theta Identities and Rank Differences for Special Unimodal Sequences

Byungchan Kim; Jeremy Lovejoy

doi:10.1007/s00026-015-0281-x

Ramanujan-Type Partial Theta Identities and Rank Differences for Special Unimodal Sequences

Byungchan Kim, Jeremy Lovejoy

School of Natural Sciences

CNRS

Research output: Contribution to journal › Article › peer-review

10 Scopus citations

Abstract

We consider three types of unimodal sequences related to Ramanujan-type partial theta identities. In each case we compute generating functions related to the rank and use the partial theta identity to give formulas for certain rank differences.

Original language	English
Pages (from-to)	705-733
Number of pages	29
Journal	Annals of Combinatorics
Volume	19
Issue number	4
DOIs	https://doi.org/10.1007/s00026-015-0281-x
State	Published - 1 Dec 2015

Keywords

partial theta functions
rank
unimodal sequences

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10.1007/s00026-015-0281-x

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title = "Ramanujan-Type Partial Theta Identities and Rank Differences for Special Unimodal Sequences",

abstract = "We consider three types of unimodal sequences related to Ramanujan-type partial theta identities. In each case we compute generating functions related to the rank and use the partial theta identity to give formulas for certain rank differences.",

keywords = "partial theta functions, rank, unimodal sequences",

author = "Byungchan Kim and Jeremy Lovejoy",

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AU - Lovejoy, Jeremy

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N2 - We consider three types of unimodal sequences related to Ramanujan-type partial theta identities. In each case we compute generating functions related to the rank and use the partial theta identity to give formulas for certain rank differences.

AB - We consider three types of unimodal sequences related to Ramanujan-type partial theta identities. In each case we compute generating functions related to the rank and use the partial theta identity to give formulas for certain rank differences.

KW - partial theta functions

KW - rank

KW - unimodal sequences

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JO - Annals of Combinatorics

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IS - 4

ER -

Ramanujan-Type Partial Theta Identities and Rank Differences for Special Unimodal Sequences

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Keywords

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