Symbolic Computation, Number Theory, Special Functions, Physics and Combinatorics
Editat de Frank G Garvan, Mourad E H Ismailen Limba Engleză Hardback – 30 noi 2001
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Specificații
ISBN-13: 9781402001017
ISBN-10: 1402001010
Pagini: 286
Ilustrații: XII, 286 p.
Dimensiuni: 168 x 246 x 22 mm
Greutate: 0.6 kg
Ediția:2002 edition
Editura: Springer Us
Locul publicării:New York, NY, United States
ISBN-10: 1402001010
Pagini: 286
Ilustrații: XII, 286 p.
Dimensiuni: 168 x 246 x 22 mm
Greutate: 0.6 kg
Ediția:2002 edition
Editura: Springer Us
Locul publicării:New York, NY, United States
Public țintă
ResearchCuprins
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.