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in 1944. Andrews and Garvan's definition was the first definition of a crank to satisfy the properties hypothesized for it in Dyson's paper.
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68:. The crank of a partition is an elusive combinatorial statistic similar to the
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64:. Most famously, in 1988, Garvan and Andrews discovered a definition of the
22:(born March 9, 1955) is an Australian-born mathematician who specializes in
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and formed the groundwork for several of his later papers.
30:. He holds the position Professor of Mathematics at the
206:"The work of George Andrews: a Madison perspective"
53:Garvan is well-known for his work in the fields of
76:in partition theory. It was first described by
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240:"Some Guesses in The Theory of Partitions"
16:Australian-born mathematician (born 1955)
42:as his thesis advisor. Garvan's thesis,
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213:Séminaire Lotharingien de Combinatoire
102:"CURRICULUM VITAE: Francis G. Garvan"
72:which provides a key to the study of
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307:21st-century American mathematicians
302:20th-century American mathematicians
184:"Frank Garvan: List of Publications"
80:in a paper on ranks for the journal
275:http://people.clas.ufl.edu/fgarvan/
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161:Generalizations of Dyson's rank
155:Garvan, Francis G. (May 1986).
44:Generalizations of Dyson's rank
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322:University of Florida faculty
36:Pennsylvania State University
34:. He received his Ph.D. from
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238:Dyson, Freeman J. (1944).
131:"George Andrews' Students"
312:Australian mathematicians
204:Askey, Richard (1999).
135:sites.math.rutgers.edu
74:Ramanujan congruences
38:(January, 1986) with
32:University of Florida
66:crank of a partition
219:: Art. B42b, 24pp.
182:Garvan, Francis G.
70:rank of a partition
48:rank of a partition
244:Eureka (Cambridge)
62:integer partitions
40:George E. Andrews
20:Francis G. Garvan
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250:: 10–15.
189:22 March
167:22 March
163:(Thesis)
225:1701581
140:7 April
115:7 April
58:-series
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82:Eureka
209:(PDF)
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191:2019
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