The Andrews Festschrift

Seventeen Papers on Classical Number Theory and Combinatorics

Dominique Foata, Guo-Niu Han (Herausgeber)

Buch | Softcover

X, 426 Seiten

2001
Springer Berlin (Verlag)
978-3-540-41491-9 (ISBN)

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This volume contains the scientific contributions that old friends, colleagues, admirers, former students have made to George Andrews on the occasion of his sixtieth birthday: seventeen papers ranging from Classical Number Theory (the theory of partitions dear to George Andrews) to Classical and Algebraic Combinatorics. Most of the papers were read at the 42-nd session of the Seminaire Lotharingien de Combinatoire that took place at Maratea, Basilicata, from August 31 to September 6. 1998. The meeting was made possible thanks to the financial support of the Regione Basilicata and the dipartimento di Matematica, Universita degli Studi della Basilicata and was organized by our colleagues from Potenza, Domenico Senato, Elvira Di Nardo and Paolo Vitolo. We are most thankful to George Andrews for his original paper in which he describes how several great mathematicians, dead or living, have influenced his mathematical career. The second paper could only have been written by his good friend, Richard Askey, who appears to be. in Doron Zeilberger's inimitable language, the "guru" of special functions, George himself being the "q-guru"! Richard very convincingly explains how the year that George spent at Madison in 1975-76 was decisive for them both. There is no better homage to George and his familiarity with Ramanujan's works than this long memoir by Bruce C. Berndt and Ken Ono on Ramanujan's Unpublished Manuscript and the Tau Functions. Bruce has spent a great part of his career deciphering the manuscripts of the great Indian number theorist.

Some Debts I Owe.- The Work of George Andrews: A Madison Perspective.- Ramanujan's Unpublished Manuscript on the Partition and Tau Functions with Proofs and Commentary.- A q-product Tutorial for a q-series Maple Package.- Un autre q-analogue des nombres d'Euler.- Three Classical Results on Representations of a Number.- Simultaneous maj Statistics.- An Extension of Franklin's Bijection.- MacMahon's Partition Analysis IV: Hypergeometric Multisums.- Various Representations of the Generalized Kostka Polynomials.- The Number- Theoretic Content of the Jacobi Triple Product Identity.- Words and Repeated Factors.- Explicit Plethystic Formulas for Macdonald q,t-Kostka Coefficients.- Supernomial Coefficients, Bailey's Lemma and Rogers-Ramanujan-type Identities. A Survey of Results and Open Problems.- The Triple, Quintuple and Septuple Product Identities Revisited.- Square-Ice Enumeration.- Advanced Determinant Calculus.

Erscheint lt. Verlag	27.3.2001
Zusatzinfo	X, 426 p.
Verlagsort	Berlin
Sprache	englisch
Maße	155 x 235 mm
Gewicht	612 g
Themenwelt	Mathematik / Informatik ► Mathematik ► Arithmetik / Zahlentheorie
	Mathematik / Informatik ► Mathematik ► Graphentheorie
	Mathematik / Informatik ► Mathematik ► Wahrscheinlichkeit / Kombinatorik
Schlagworte	Calculus • determinant calculus • Kostka polynomials • Number Theory • Partitions • permutations • q-calculus • SiM • Statistics
ISBN-10	3-540-41491-6 / 3540414916
ISBN-13	978-3-540-41491-9 / 9783540414919
Zustand	Neuware