Results 81 to 90 of about 505,867 (109)

Rogers–Ramanujan Type Partition Identities

, 2017
The partition theoretic Rogers–Ramanujan identities assert that for a = 0, 1 and any n, the number of partitions of n into parts greater than a that mutually differ by at least 2 equals the number of partitions of n into parts congruent to ±(a + 1) (mod ...
Sills, Andrew V.
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A MacMahon analysis view of cylindric partitions. [PDF]

Ramanujan J
Li R, Uncu AK.
europepmc   +1 more source

Classification of hypergeometric identities for pi and other logarithms of algebraic numbers. [PDF]

Proc Natl Acad Sci U S A, 1998
Chudnovsky DV, Chudnovsky GV.
europepmc   +1 more source

Dedekind's η-function and Rogers–Ramanujan identities

We prove a q-series identity that generalizes Macdonald's A(2)2n η-function identity and the Rogers–Ramanujan identities.
S. Ole Warnaar (21289958), W. Zudilin (21267914)   +1 more
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Telescopic Creation for Identities of Rogers-Ramanujan Type †

, 2012
Summary The telescopic approach is proposed for creating new identities of Rogers-Ramanujan type from the known ones. Twenty-five examples are illustrated with several new identities being presented.
Chu Wenchang
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Resurgence of Chern-Simons Theory at the Trivial Flat Connection. [PDF]

Commun Math Phys
Garoufalidis S, Gu J, Mariño M, Wheeler C.   +3 more
europepmc   +1 more source

Modular invariant representations of infinite-dimensional Lie algebras and superalgebras. [PDF]

Proc Natl Acad Sci U S A, 1988
Kac VG, Wakimoto M.
europepmc   +1 more source

Bilateral Bailey pairs and Rogers-Ramanujan type identities

Rogers-Ramanujan type identities occur in various branches of mathematics and physics. As a classic and powerful tool to deal with Rogers-Ramanujan type identities, the theory of Bailey\u27s lemma has been extensively studied and generalized.
Liu, Xiangxin, Sun, Lisa Hui
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A Determinant Identity that Implies Rogers-Ramanujan

, 2008
We give a combinatorial proof of a general determinant identity for associated polynomials. This determinant identity, Theorem 2.2, gives rise to new polynomial generalizations of known Rogers-Ramanujan type identities.
Kristina C. Garrett
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On the Rogers-Ramanujan identities and partition congruences

A research report submitted in partial fulfilment of the requirements for the degree Master of Science to the Faculty of Science, School of Mathematics, University of the Witwatersrand, Johannesburg, 2023In this dissertation, we study the Rogers ...
Seleka, Phodiso
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