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

11 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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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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year = "2015",

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T1 - Ramanujan-Type Partial Theta Identities and Rank Differences for Special Unimodal Sequences

AU - Kim, Byungchan

AU - Lovejoy, Jeremy

PY - 2015/12/1

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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

UR - https://www.scopus.com/pages/publications/84944672541

U2 - 10.1007/s00026-015-0281-x

DO - 10.1007/s00026-015-0281-x

M3 - Article

AN - SCOPUS:84944672541

SN - 0218-0006

VL - 19

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EP - 733

JO - Annals of Combinatorics

JF - Annals of Combinatorics

IS - 4

ER -

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

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Keywords

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