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Matematicheskie Zametki, 2014, Volume 95, Issue 5, Pages 685–696
DOI: https://doi.org/10.4213/mzm9251 (Mi mzm9251) 		 
This article is cited in 2 scientific papers (total in 2 papers)

On Certain Identities for Ratios of Theta-Functions and Some New Modular Equations of Mixed Degree

K. R. Vasukia, C. Chamarajub

a University of Mysore
b Sri Jayachamarajendra College of Engineering
Full-text PDF (459 kB) Citations (2)
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DOI: https://doi.org/10.4213/mzm9251
Abstract: In this paper, we derive certain identities for ratios of theta-functions. As applications of the identities, we establish certain new modular equations of mixed degree in the theory of signature 3, which are analogous to Ramanujan–Weber type modular equations and Ramanujan–Schläfli type mixed modular equations.
Keywords: Ramanujan theta-function, modular equation.
Received: 03.02.2011
English version:
Mathematical Notes, 2014, Volume 95, Issue 5, Pages 615–624
DOI: https://doi.org/10.1134/S0001434614050058
Bibliographic databases:
Document Type: Article
UDC: 515.178.3
Language: Russian
Citation: K. R. Vasuki, C. Chamaraju, “On Certain Identities for Ratios of Theta-Functions and Some New Modular Equations of Mixed Degree”, Mat. Zametki, 95:5 (2014), 685–696; Math. Notes, 95:5 (2014), 615–624
Citation in format AMSBIB
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    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Математические заметки Mathematical Notes
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