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Q-Series with Applications to Combinatorics, Number Theory, and Physics.

Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Berndt, Bruce C.
Otros Autores: Ono, Ken
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Providence : American Mathematical Society, 2001.
Colección:Contemporary Mathematics.
Temas:
Acceso en línea:Texto completo
Tabla de Contenidos:
  • ""Contents""; ""Preface""; ""Program for q-series piano recital""; ""Congruences and conjectures for the partition function""; ""MacMahon's partition analysis VII: Constrained compositions""; ""Crystal bases and q-identities""; ""The Bailey-Rogers-Ramanujan group""; ""Multiple polylogarithms: A brief survey""; ""Swinnerton-Dyer type congruences for certain Eisenstein series""; ""More generating functions for L-function values""; ""On sums of an even number of squares, and an even number of triangular numbers: an elementary approach based on Ramanujan's 1Ï?1 summation formula""
  • ""Some remarks on multiple Sears transformations""""Another way to count colored Frobenius partitions""; ""Proof of a summation formula for an Ã?n basic hypergeometric series conjectured by Warnaar""; ""On the representation of integers as sums of squares""; ""3-regular partitions and a modular K3 surface""; ""A new look at Heeke's indefinite theta series""; ""A proof of a multivariable elliptic summation formula conjectured by Warnaar""; ""Multilateral transformations of q-series with quotients of parameters that are nonnegative integral powers of q""
  • Completeness of basic trigonometric system in LpThe generalized Borwein conjecture. I. The Burge transform
  • Mock v-functions and real analytic modular forms