Hecke-type series involving infinite products
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Publication:6568834
DOI10.1016/J.EJC.2024.103959zbMATH Open1543.05007MaRDI QIDQ6568834
Publication date: 8 July 2024
Published in: European Journal of Combinatorics (Search for Journal in Brave)
Combinatorial identities, bijective combinatorics (05A19) Combinatorial aspects of partitions of integers (05A17) Sums of squares and representations by other particular quadratic forms (11E25) Other combinatorial number theory (11B75) Elementary theory of partitions (11P81) Special sequences and polynomials (11B83)
Cites Work
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- The truncated pentagonal number theorem
- A truncated Jacobi triple product theorem
- Proofs of two conjectures on truncated series
- Truncated series from the quintuple product identity
- \(q\)-orthogonal polynomials, Rogers-Ramanujan identities, and mock theta functions
- Hecke modular forms and q-Hermite polynomials
- Infinite-dimensional Lie algebras, theta functions and modular forms
- An expansion formula for \(q\)-series and applications
- Two truncated identities of Gauss
- A \(q\)-series expansion formula and the Askey-Wilson polynomials
- New truncated theorems for three classical theta function identities
- Truncated Hecke-Rogers type series
- On the \(q\)-derivative and \(q\)-series expansions
- On the $q$-partial differential equations and $q$-series
- Hecke Modular Forms and the KAC-Peterson Identities
- RAMANUJAN'S CUBIC CONTINUED FRACTION AND AN ANALOG OF HIS "MOST BEAUTIFUL IDENTITY"
- RAMANUJAN'S CUBIC CONTINUED FRACTION AND RAMANUJAN TYPE CONGRUENCES FOR A CERTAIN PARTITION FUNCTION
- The Fifth and Seventh Order Mock Theta Functions
- Affine Lie algebras and Hecke modular forms
- Some further Hecke-type identities
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