Transcendence of Values of Modular Forms

M. Ram Murty and Purusottam Rath
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M. Ram Murty: Queen’s University, Department of Mathematics and Statistics
Purusottam Rath: Chennai Mathematical Institute

Chapter Chapter 27 in Transcendental Numbers, 2014, pp 179-184 from Springer

Abstract: Abstract In this chapter, we will apply the results of Schneider Schneider, T. and Nesterenko Nesterenko, Yu. 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.

Keywords: Modular Forms; Nesterenko; Reasonable Account; Fascinating Subject; Algebraic Fourier Coefficients (search for similar items in EconPapers)
Date: 2014
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DOI: 10.1007/978-1-4939-0832-5_27

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