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Transcendence of Values of Modular Forms

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Abstract

In this chapter, we will apply the results of Schneider and Nesterenko to investigate the values of modular forms at algebraic arguments. Any reasonable account of the fascinating subject of modular forms will require us to embark upon a different journey which we cannot undertake in the present book. We refer to the books [42, 70, 75] for comprehensive accounts of this subject. However for the purposes of this chapter, we shall be needing very little input from the theory of modular forms.

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Authors and Affiliations

  1. Department of Mathematics and Statistics, Queen’s University, Kingston, Ontario, Canada

    M. Ram Murty

  2. Chennai Mathematical Institute, Siruseri, Tamil Nadu, India

    Purusottam Rath

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  1. M. Ram Murty
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  2. Purusottam Rath
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Murty, M.R., Rath, P. (2014). Transcendence of Values of Modular Forms. In: Transcendental Numbers. Springer, New York, NY. https://doi.org/10.1007/978-1-4939-0832-5_27

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