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On partial sums of Mock theta functions of order 2,”
, 2013 : In his last letter to Hardy, Ramanujan defined 17 functions F(q), where | q | < 1. He called them mock theta functions, because as q radially approaches any point Γ Πi e 2 (r rational), there is a theta function F r (q) with F(q) -F r (q) = 0 (1 ...
Roselin Antony, Atakalti Araya
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Mock up - Ensaio Restaurador [PDF]
, 2014 TCC (graduação) - Universidade Federal de Santa Catarina. Centro de Ciências da Saúde. Odontologia.Quando realiza um tratamento estético, dois passos são imprescindíveis para se obter o sucesso: correto diagnóstico e bom planejamento. Uma das formas para
Warmling, Paulo Gabriel
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Relations Connecting Eighth Order Mock Theta Functions
, 2020 Du ring the last years of his life, Ramanujan defined 17 functions F(q), where | q | < 1, and he na med them as moc k theta functions. The first detailed description of mock theta functions was given by Watson.
Roselin Antony
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Recursions for Mock Theta Functions
We establish weighted recursions for the coefficients of Ramanujan's third order mock theta functions $f$ and $ω$. Specifically, we apply a holomorphic projection operator to vector-valued Rankin-Cohen brackets of completed mock theta series and their shadows.
Ortiz, Matthew +2 more
openaire +2 more sources
, 2010 In this thesis, we studied some mock theta functions combinatorially defined by S. Ramanujan, three months before his death in 1920. We studied par- titions with n copies of n defined by Agarwal and Andrews in 1987 ( A.K. Agarwal and G.E.
Singh, Inderpal
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Tenth Order Mock Theta Functions in Ramanujan's Lost Notebook
175 p.Thesis (Ph.D.)--University of Illinois at Urbana-Champaign, 1999.S. Ramanujan's last letter to G. H. Hardy contains the definition of mock theta functions, a list of 17 mock theta functions, and 5 identities related to mock theta functions.
Choi, Youn-Seo
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Theta-modulated place-by-direction cells in the hippocampal formation in the rat [PDF]
, 2004 We report the spatial and temporal properties of a class of cells termed theta-modulated place-by-direction (TPD) cells recorded from the presubicular and parasubicular cortices of the rat. The firing characteristics of TPD cells in open-field enclosures
Wills, TJ +4 more
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Mock theta functions in terms of q-hypergeometric double sums
, 2018 The main purpose of this paper is to present five mock theta functions by using the Bailey pair. Identities are established between the double sums and classical mock theta functions.
Zhizheng Zhang, Xiaoqian Li
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Rank, two-color partitions and Mock theta function
In this paper, we establish that the number of partitions of a natural number with positive odd rank is equal to the number of two-color partitions (red and blue), where the smallest part is even (say $2n$) and all red parts are even and lie within the ...
Kumar, Rahul, Andrews, George E.
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