Paper Search Console

Home Search Page About Contact

Journal Title

Title of Journal: Ramanujan J

Search In Journal Title:

Abbravation: The Ramanujan Journal

Search In Journal Abbravation:

Publisher

Springer US

Search In Publisher:

DOI

10.1002/syn.21657

Search In DOI:

ISSN

1572-9303

Search In ISSN:
Search In Title Of Papers:

An overpartition analogue of the Emphasis Type="I

Authors: Jehanne Dousse Byungchan Kim
Publish Date: 2015/09/10
Volume: 42, Issue: 2, Pages: 267-283
PDF Link

Abstract

We define an overpartition analogue of Gaussian polynomials also known as qbinomial coefficients as a generating function for the number of overpartitions fitting inside the M times N rectangle We call these new polynomials over Gaussian polynomials or over qbinomial coefficients We investigate basic properties and applications of over qbinomial coefficients In particular via the recurrences and combinatorial interpretations of over qbinomial coefficients we prove a Rogers–Ramanujan type partition theoremThis research was supported by the International Research Development Program of the National Research Foundation of Korea NRF funded by the Ministry of Education Science and TechnologyMEST of Korea NRF2014K1A3A1A21000358 and the STAR program number 32142ZM

Keywords:

References

.
Search In Abstract Of Papers:
Other Papers In This Journal:
  1. Representations of integers by certain positive definite binary quadratic forms
  2. Extensions of Vietoris’s inequalities I
  3. Polyharmonic Maass forms for $$\text {PSL}(2,{\mathbb Z})$$
  4. On the effective determination of Maass cusp forms by L -values
  5. The generalized lucky ticket problem, perfect matchings, and closure relations satisfied by the Chebyshev and $$$$-Hermite polynomials
  6. Algebraic relations for reciprocal sums of odd terms in Fibonacci numbers
  7. A numerical study on exceptional eigenvalues of certain congruence subgroups of $$\mathrm {SO}(n,1)$$ and $$\mathrm {SU}(n,1)$$SU(n,1)
  8. Differential operators, shifted parts, and hook lengths
  9. $$$$ WP-Bailey tree
  10. A central limit theorem for Ramanujan’s tau function
  11. Generators and relations of the graded algebra of modular forms
  12. Eisenstein series and Ramanujan-type series for 1/ π
Search Result: