Results 51 to 60 of about 505,916 (139)
Erdős‐Rogers Functions for Arbitrary Pairs of Graphs
Random Structures &Algorithms, Volume 68, Issue 3, May 2026.ABSTRACT Let fF,G(n)$$ {f}_{F,G}(n) $$ be the largest size of an induced F$$ F $$‐free subgraph that every n$$ n $$‐vertex G$$ G $$‐free graph is guaranteed to contain. We prove that for any triangle‐free graph F$$ F $$, fF,K3(n)=fK2,K3(n)1+o(1)=n12+o(1).$$ {f}_{F,{K}_3}(n)={f}_{K_2,{K}_3}{(n)}^{1+o(1)}={n}^{\frac{1}{2}+o(1)}. $$Along the way we give a
Dhruv Mubayi, Jacques Verstraëte
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Modular Identities and Explicit Evaluations of a Continued Fraction of Ramanujan
International Journal of Mathematics and Mathematical Sciences, Volume 2012, Issue 1, 2012., 2012 We study a new continued fraction of Ramanujan. We prove its modular identities and give some explicit evaluations.
Nipen Saikia, Stefaan Caenepeel
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Journal of the London Mathematical Society, Volume 113, Issue 3, March 2026.Abstract In the first paper of this series, we gave infinite families of coloured partition identities which generalise Primc's and Capparelli's classical identities. In this second paper, we study the representation theoretic consequences of our combinatorial results.
Jehanne Dousse, Isaac Konan
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A Parameter for Ramanujan′s Function χ(q): Its Explicit Values and Applications
International Scholarly Research Notices, Volume 2012, Issue 1, 2012., 2012 We define a new parameter Ik,n involving quotient of Ramanujan′s function χ(q) for positive real numbers k and n and study its several properties. We prove some general theorems for the explicit evaluations of the parameter Ik,n and find many explicit values.
Nipen Saikia +3 more
wiley +1 more source
Iteration process for multiple rogers–ramanujan identities [PDF]
Ukrainian Mathematical Journal, 2012 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Chu, W., Wang, C.
openaire +2 more sources
Certain Transformation Formulae for Polybasic Hypergeometric Series
International Scholarly Research Notices, Volume 2011, Issue 1, 2011., 2011 Making use of Bailey′s transformation and certain known summations of truncated series, an attempt has been made to establish transformation formulae involving polybasic hypergeometric series.
Pankaj Srivastava +4 more
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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
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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
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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
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