On some new general theorems for the explicit evaluations of Ramanujan's remarkable product of theta-functions
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Publication:953255
DOI10.1007/S11139-007-9081-1zbMath1148.33012OpenAlexW2028614485MaRDI QIDQ953255
B. N. Dharmendra, Megadahalli S. Mahadeva Naika
Publication date: 17 November 2008
Published in: The Ramanujan Journal (Search for Journal in Brave)
Full work available at URL: http://eprints-bangaloreuniversity.in/6193/1/dharma.pdf
Theta series; Weil representation; theta correspondences (11F27) Basic hypergeometric functions in one variable, ({}_rphi_s) (33D15) Dedekind eta function, Dedekind sums (11F20)
Related Items (10)
A product of theta-functions analogous to Ramanujan's remarkable product of theta-functions and applications ⋮ On some P-Q modular equations of degree 45 ⋮ Theorems on analogous of Ramanujan’s remarkable product of theta-function and their explicit evaluations ⋮ On explicit evaluation of ratio’s of theta function which is analogous to Ramanujan’s function am,n ⋮ Some modular relation on analogous of Ramanujan's remarkable product of theta-function ⋮ The explicit formulae and evaluations of Ramanujan's remarkable product of theta-functions ⋮ Some new general theorems for the explicit evaluations of the Rogers-Ramanujan continued fraction ⋮ On some new \(P\)-\(Q\) mixed modular equations ⋮ On certain identities for ratios of theta-functions and some new modular equations of mixed degree ⋮ Some properties, explicit evaluations, and applications of Ramanujan's remarkable product of theta functions
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