Symbolic Computation, Number Theory, Special Functions, Physics and Combinatorics

Inbunden, Engelska, 2001

Del i serien Developments in Mathematics

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Beskrivning

This volume contains research and expository papers in a number of different topics including number theory, special functions, physics and combinatorics. A subject that is common to all of these fields is q-series. The chapters contain some of the latest developments in the fields of q-series. Some of the papers describe how symbolic computation has aided these developments. This volume is intended for researchers and graduate students interested in recent developments in q-series and symbolic computation.

Produktinformation

Utgivningsdatum:2001-11-30
Mått:155 x 235 x 22 mm
Vikt:603 g
Format:Inbunden
Språk:Engelska
Serie:Developments in Mathematics
Antal sidor:286
Upplaga:2002
Förlag:Kluwer Academic Publishers
ISBN:9781402001017

Utforska kategorier

Matematik inom Naturvetenskap och teknik

Innehållsförteckning

Gaussian hypergeometric series and combinatorial congruences.- A double bounded key identity for Göllnitz’s (BIG) partition theorem.- Engel expansions of q-series by computer algebra.- Sums of squares and the preservation of modularity under congruence restrictions.- On the transformation formula for the Dedekind eta-function.- Experiments and discoveries in q-trigonometry.- Algebraic consequences of Jacobi’s two— and four—square theorems.- The Borweins’ cubic theta functions and q-elliptic functions.- Some Eisenstein series identities associated with the Borwein functions.- Hankel determinants of Eisenstein series.- Jacobi’s identity and two K3-surfaces.- q-Random matrix ensembles.- Differential endomorphisms for modular forms.- On the asymptotics of Takeuchi numbers.- Fine-Tuning Zeilberger’s Algorithm: The Methods of Automatic Filtering and Creative Substituting.- Gaussian integrals and the Rogers-Ramanujan identities.- Some remarks on a product expansion: an unexplored partition function.