Herbert S . Wilf ( 1931 – 2012 )

نویسندگان

  • Herbert S. Wilf
  • Fan Chung
  • Curtis Greene
  • Joan Hutchinson
چکیده

DOI: http://dx.doi.org/10.1090/noti1247 received both the Steele Prize for Seminal Contributions to Research (from the AMS, 1998) and the Deborah and Franklin Tepper Haimo Award for Distinguished Teaching (from the MAA, 1996). During his long tenure at Penn he advised twenty-six PhD students and won additional awards, including the Christian and Mary Lindback Award for excellence in undergraduate teaching. Other professional honors and awards included a Guggenheim Fellowship in 1973–74 and the Euler Medal, awarded in 2002 by the Institute for Combinatorics and its Applications. Herbert Wilf’s mathematical career can be divided into three main phases. First was numerical analysis, in which he did his PhD dissertation (under Herbert Robbins at Columbia University in 1958) and wrote his first papers. Next was complex analysis and the theory of inequalities, in particular, Hilbert’s inequalities restricted to n variables. He wrote a cluster of papers on this topic, some with de Bruijn [1] and some with Harold Widom [2]. Wilf’s principal research focus during the latter part of his career was combinatorics. In 1965 Gian-Carlo Rota came to the University of Pennsylvania to give a colloquium talk on his then-recent work on Möbius functions and their role in combinatorics. Wilf recalled, “That talk was so brilliant and so beautiful that it lifted me right out of my chair and made me a combinatorialist

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منابع مشابه

Residues and telescopers for bivariate rational functions

Article history: Received 30 January 2012 Accepted 17 April 2012 Available online 10 May 2012 Dedicated to the memories of Philippe Flajolet and Herbert S. Wilf

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Hamiltonicity of the Cayley Digraph On

The symmetric group is generated by σ = (1 2 ··· n) and τ = (1 2). We answer an open problem of Nijenhuis and Wilf by constructing a Hamilton path in the directed Cayley graph for all n, and a Hamilton cycle for odd n. Dedicated to Herb Wilf (1931 – 2012).

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Partitions with Distinct Multiplicities of Parts: On An "Unsolved Problem" Posed By Herbert Wilf

Wilf’s Sixth Unsolved Problem asks for any interesting properties of the set of partitions of integers for which the (nonzero) multiplicities of the parts are all different. We refer to these as Wilf partitions. Using f(n) to denote the number of Wilf partitions, we establish lead-order asymptotics for ln f(n).

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Sums of Distinct Unit Fractions Paul Erdős and Sherman Stein

We shall consider the representation of numbers as the sum of distinct unit fractions ; in particular we will answer two questions recently raised by Herbert S . Wilf . A sequence of positive integers S= n 1 , n2 , } with ni < ,n 2< is an R-basis if every positive integer is the sum of distinct reciprocals of finitely many integers of S . In Research Problem 6 [1, p. 457], Herbert S. Wilf raise...

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تاریخ انتشار 2012