Irrational Behaviour of Bilateral Mock Theta Functions of Order Seven at Infinite Number of Points

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ID: 310370
2023
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Abstract
At the beginning of 1920, three months before his demise, Ramanujan addressed mock theta functions in his last letter to G. H. Hardy. He presented seventeen examples, and assigned them to orders three, five, and seven. Shukla and Ahmad obtained eight bilateral mock theta functions of order seven in 2003, and they proved that these functions satisfy the characteristic property of the mock theta function. In this paper it has been shown that four bilateral mock theta functions of order seven are irrational at q = ±½, ±⅓, ±¼, · · · , and four are irrational at q = ½, ⅓, ¼, · · · .
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Authors Jitendra Singh
Journal International Journal of Science and Social Science Research
Year 2023
DOI
10.5281/zenodo.13312368
URL
https://www.ijsssr.com/j/article/view/9
Keywords Keywords not found

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