The meaning of Ramanujan now and for the future
From MaRDI portal
Publication:969414
DOI10.1007/s11139-009-9162-4zbMath1195.11004OpenAlexW2023534196MaRDI QIDQ969414
Publication date: 7 May 2010
Published in: The Ramanujan Journal (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11139-009-9162-4
Combinatorial identities, bijective combinatorics (05A19) Combinatorial aspects of partitions of integers (05A17) Partitions; congruences and congruential restrictions (11P83) Research exposition (monographs, survey articles) pertaining to number theory (11-02) History of number theory (11-03) Elementary theory of partitions (11P81)
Uses Software
Cites Work
- Ramanujan's ``Lost notebook. VIII: The entire Rogers-Ramanujan function
- Ramanujan's ``lost notebook. IX: The partial theta function as an entire function
- Zeros of entire functions and a problem of Ramanujan
- Combinatorics of generalized \(q\)-Euler numbers
- Zeros of generalized Rogers-Ramanujan series: asymptotic and combinatorial properties
- Ramanujan's lost notebook. V: Euler's partition identity
- Inverse polynomial expansions of Laurent series
- Ramanujan's ``lost notebook. II: Theta-function expansions
- On the difference of successive Gaussian polynomials
- \(q\)-series identities and values of certain \(L\)-functions
- A Maple package for symmetric functions
- Engel expansions and the Rogers-Ramanujan identities
- Distribution of the partition function modulo \(m\)
- Extension of Abel's Lemma with \(q\)-series implications
- Eulerian series as modular forms
- Mock theta functions, weak Maass forms, and applications
- A $q$-series identity and the arithmetic of Hurwitz zeta functions
- Partition congruences and the Andrews-Garvan-Dyson crank
- Hypergeometric generating functions for values of Dirichlet and other L functions
- Proof of a conjecture of Ramanujan
- Ordered structures and partitions
- The Final Problem : An Account of the Mock Theta Functions
- MacMahon's partition analysis: The Omega package
- Vassiliev invariants and a strange identity related to the Dedekind eta-function
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
This page was built for publication: The meaning of Ramanujan now and for the future