### Abstract

The late Leon Ehrenpreis originally posed the problem of showing that the difference of the two Rogers-Ramanujan products had positive coefficients without invoking the Rogers-Ramanujan identities. We first solve the problem generalized to the partial products and subsequently solve several related problems. The object is to introduce the anti-telescoping method which is capable of wide generalization.

Original language | English (US) |
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Title of host publication | From Fourier Analysis and Number Theory to Radon Transforms and Geometry |

Subtitle of host publication | In Memory of Leon Ehrenpreis |

Editors | Hershel Farkas, Marvin Knopp, Robert Gunning, B.A Taylor |

Pages | 1-20 |

Number of pages | 20 |

DOIs | |

State | Published - Sep 2 2013 |

### Publication series

Name | Developments in Mathematics |
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Volume | 28 |

ISSN (Print) | 1389-2177 |

### Fingerprint

### All Science Journal Classification (ASJC) codes

- Mathematics(all)

### Cite this

*From Fourier Analysis and Number Theory to Radon Transforms and Geometry: In Memory of Leon Ehrenpreis*(pp. 1-20). (Developments in Mathematics; Vol. 28). https://doi.org/10.1007/978-1-4614-4075-8_1

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*From Fourier Analysis and Number Theory to Radon Transforms and Geometry: In Memory of Leon Ehrenpreis.*Developments in Mathematics, vol. 28, pp. 1-20. https://doi.org/10.1007/978-1-4614-4075-8_1

**Differences of partition functions : The anti-telescoping method.** / Andrews, George E.

Research output: Chapter in Book/Report/Conference proceeding › Chapter

TY - CHAP

T1 - Differences of partition functions

T2 - The anti-telescoping method

AU - Andrews, George E.

PY - 2013/9/2

Y1 - 2013/9/2

N2 - The late Leon Ehrenpreis originally posed the problem of showing that the difference of the two Rogers-Ramanujan products had positive coefficients without invoking the Rogers-Ramanujan identities. We first solve the problem generalized to the partial products and subsequently solve several related problems. The object is to introduce the anti-telescoping method which is capable of wide generalization.

AB - The late Leon Ehrenpreis originally posed the problem of showing that the difference of the two Rogers-Ramanujan products had positive coefficients without invoking the Rogers-Ramanujan identities. We first solve the problem generalized to the partial products and subsequently solve several related problems. The object is to introduce the anti-telescoping method which is capable of wide generalization.

UR - http://www.scopus.com/inward/record.url?scp=84883106880&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84883106880&partnerID=8YFLogxK

U2 - 10.1007/978-1-4614-4075-8_1

DO - 10.1007/978-1-4614-4075-8_1

M3 - Chapter

AN - SCOPUS:84883106880

SN - 9781461440741

T3 - Developments in Mathematics

SP - 1

EP - 20

BT - From Fourier Analysis and Number Theory to Radon Transforms and Geometry

A2 - Farkas, Hershel

A2 - Knopp, Marvin

A2 - Gunning, Robert

A2 - Taylor, B.A

ER -