Results 71 to 80 of about 4,353,774 (184)
Mock theta functions and related combinatorics [PDF]
, 2023 In this paper we add to the literature on the combinatorial nature of the mock theta functions, a collection of curious $q$-hypergeometric series introduced by Ramanujan in his last letter to Hardy in 1920, which we now know to be important examples of ...
Wen, Boya +5 more
core
Molecular Oncology, Volume 20, Issue S1, Page 1-692, August 2026.Abstracts submitted to the ‘EACR 2026 Congress: Innovative Cancer Science’, from 08–11 June 2026 and accepted by the Congress Organising Committee are published in this Supplement of Molecular Oncology, an affiliated journal of the European Association for Cancer Research (EACR).
wiley +1 more source
Quantum mock modular forms arising from eta–theta functions [PDF]
, 2016 In 2013, Lemke Oliver classified all eta-quotients which are theta functions. In this paper, we unify the eta–theta functions by constructing mock modular forms from the eta–theta functions with even characters, such that the shadows of these mock ...
Sharon Garthwaite +10 more
core +1 more source
The tenth-order mock theta functions revisited [PDF]
Bulletin of the London Mathematical Society, 2010 In this paper we consider the first four of the eight identities between the tenth order mock theta functions, found in Ramanujan's lost notebook. These were originally proved by Choi. Here we give an alternative (much shorter) proof.
openaire +2 more sources
Partitions with short sequences and mock theta functions [PDF]
Proceedings of the National Academy of Sciences, 2005 P. A. MacMahon was the first to examine integer partitions in which consecutive integers were not allowed as parts. Such partitions may be described as having sequences of length 1. Recently it was shown that partitions containing no sequences of consecutive integers of length k are of ...
openaire +2 more sources
A Note on Continued Fractions and Mock Theta Functions
Kyungpook mathematical journal, 2016 Summary: Mock theta functions are the most interesting topic mentioned in Ramanujan's Lost Notebook, due to its emerging application in the field of Number theory, Quantum invariants theory and etc. In the present research articles we have made an attempt to develop continued fractions representation of all the existing Mock theta functions.
Srivastava, Pankaj, Gupta, Priya
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Mock theta functions and asymptotics for partition-theoretic functions [PDF]
, 2018 This thesis contains research articles on various topics in the theory of mod- ular forms and integer partitions. First we revisit Ramanujan’s original defini- tion of a mock theta function.
Jang, Min-Joo
core
Vector-Valued Mock Theta Functions
, 2022 Ramanujan introduced his now celebrated mock theta functions in 1920, grouping them into families parameterized by an integer called the order. In 2010 Bringmann and Ono discovered generalizations of Ramanujan\u27s mock theta functions for any order ...
Williams, Clayton
core
On Uniqueness of Mock Theta Functions
17 pages, no ...
Costin, Ovidiu +2 more
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This paper introduces five new identities involving eighth-order mock theta functions, expressed in terms of multivariable R-functions. These identities are derived using the well-known qɩ-product identities in conjunction with the classical Jacobi ...
Araci, Serkan +3 more
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