Results 41 to 50 of about 505,867 (109)
Modular identities for the Rogers-Ramanujan functions and analogues [PDF]
, 2010 Item marked as restricted to the 'UIUC Users [automated]' Group (id=2) by William Ingram (wingram2@illinois.edu) on 2011-01-21T22:47:37Z Item is restricted until 2013-01-21T22:47:37Z"In his notebooks, Ramanujan recorded 40 beautiful modular relations for
Gugg, Chadwick
core
One-parameter generalizations of Rogers–Ramanujan type identities [PDF]
, 2010 Using the recursions satisfied by the polynomials which converge to the right-hand sides of the Rogers–Ramanujan type identities given by Sills (2003) [16] and a determinant method presented in Ismail et al.
Gu, Nancy S.S., Prodinger, Helmut
core +1 more source
Tiling Models for Palindromic and n‐Colored Compositions With 1 s and 3 s
Journal of Mathematics, Volume 2026, Issue 1, 2026.In this work, we explore compositions of positive integers into parts consisting of 1 and 3 s, highlighting their close connection to the Narayana numbers. We also examine palindromic compositions of this type and introduce arithmetic functions that reflect their structural properties.
Orhan Dişkaya +5 more
wiley +1 more source
Note on Dilogarithm Identities from Nilpotent Double Affine Hecke Algebras
Symmetry, Integrability and Geometry: Methods and Applications, 2012 Recently Cherednik and Feigin [arXiv:1209.1978] obtained several Rogers-Ramanujan type identities via the nilpotent double affine Hecke algebras (Nil-DAHA).
Tomoki Nakanishi
doaj +1 more source
Comment on “Some Congruence Properties of a Restricted Bipartition Function cN(n)”
, 2017 International Journal of Analysis, Volume 2017, Issue 1, 2017.
Qing Zou, Ahmed Zayed
wiley +1 more source
A Note on Four‐Variable Reciprocity Theorem
International Journal of Mathematics and Mathematical Sciences, Volume 2009, Issue 1, 2009., 2009 We give new proof of a four‐variable reciprocity theorem using Heine′s transformation, Watson′s transformation, and Ramanujan′s 1 ψ 1‐summation formula. We also obtain a generalization of Jacobi′s triple product identity.
Chandrashekar Adiga +2 more
wiley +1 more source
Rogers-Ramanujan type identities for alternating knots [PDF]
, 2016 We highlight the role of q-series techniques in proving identities arising from knot theory. In particular, we prove Rogers–Ramanujan type identities for alternating knots as conjectured by Garoufalidis, Lê and ...
Osburn, Robert, Keilthy, Adam
core +1 more source
Transactions of the London Mathematical Society, Volume 12, Issue 1, December 2025.Abstract The representation of an analytic function as a series involving q$q$‐polynomials is a fundamental problem in classical analysis and approximation theory [Ramanujan J. 19 (2009), no. 3, 281–303]. In this paper, our investigation is focusing on q$q$‐analog complex Hermite polynomials, which were motivated by Ismail and Zhang [Adv. Appl.
Jian Cao
wiley +1 more source
Identities of the Rogers-Ramanujan-Slater Type
, 2007 It is shown that (two-variable generalizations of) more than half of Slater\u27s list of 130 Rogers–Ramanujan identities (L. J. Slater, Further identities of the Rogers–Ramanujan type, Proc. London Math Soc.
Sills, Andrew V.
core +1 more source
Partitions in real quadratic fields
Mathematische Nachrichten, Volume 298, Issue 2, Page 548-566, February 2025.Abstract We study partitions of totally positive integers in real quadratic fields. We develop an algorithm for computing the number of partitions, prove a result about the parity of the partition function, and characterize the quadratic fields such that there exists an element with exactly 1–5, 7, and 11 partitions.
David Stern, Mikuláš Zindulka
wiley +1 more source