Publications Influence

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## The theory of partitions

- G. Andrews
- Mathematics
- 1976

1. The elementary theory of partitions 2. Infinite series generating functions 3. Restricted partitions and permutations 4. Compositions and Simon Newcomb's problem 5. The Hardy-Ramanujan-Rademacher… Expand

## The lost notebook and other unpublished papers

- Srinivasa Ramanujan Aiyangar, G. Andrews
- Mathematics
- 1988

## Dyson's crank of a partition

- G. Andrews, F. Garvan
- Mathematics
- 1 April 1988

holds. He was thus led to conjecture the existence of some other partition statistic (which he called the crank); this unknown statistic should provide a combinatorial interpretation of ^-p(lln + 6)… Expand

## Eight-vertex SOS model and generalized Rogers-Ramanujan-type identities

- G. Andrews, R. Baxter, P. Forrester
- Mathematics
- 1 May 1984

AbstractThe eight-vertex model is equivalent to a “solid-on-solid” (SOS) model, in which an integer heightli is associated with each sitei of the square lattice. The Boltzmann weights of the model… Expand

## Ramanujan's Lost Notebook: Part I

- G. Andrews, B. Berndt
- Mathematics
- 6 May 2005

In the spring of 1976, George Andrews of Pennsylvania State University visited the library at Trinity College, Cambridge, to examine the papers of the late G.N. Watson. Among these papers, Andrews… Expand

## q-series : their development and application in analysis, number theory, combinatorics, physics, and computer algebra

- G. Andrews
- Mathematics
- 31 December 1986

Found opportunities Classical special functions and L. J. Rogers W. N. Bailey's extension of Roger's work Constant terms Integrals Partitions and $q$-series Partitions and constant terms The hard… Expand

## Classical orthogonal polynomials

- G. Andrews, R. Askey
- Mathematics
- 1985

There have been a number of definitions of the classical orthogonal polynomials, but each definition has left out some important orthogonal polynomials which have enough nice properties to justify… Expand

## The number of smallest parts in the partitions of n

- G. Andrews
- Mathematics
- 2008

Abstract We denote by spt(n) the total number of appearances of the smallest part in each integer partition of n. We shall relate spt(n) to the Atkin-Garvan moments of ranks, and we shall prove that… Expand

## An analytic generalization of the rogers-ramanujan identities for odd moduli.

- G. Andrews
- MathematicsProceedings of the National Academy of Sciences…
- 1 October 1974

A (k - 1)-fold Eulerian series expansion is given for II(1 - q(n))(-1), where the product runs over all positive integers n that are not congruent to 0,i or - i modulo 2k + 1. The Rogers-Ramanujan… Expand

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