Linear Independence of Values of Dirichlet L-Functions

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 25 in Transcendental Numbers, 2014, pp 153-158 from Springer

Abstract: Abstract We have seen before that for any non-trivial Dirichlet character χ mod q, L(1, χ) is transcendental. In this chapter, we study the possible ℚ ¯ $$\overline{\mathbb{Q}}$$ -linear relations between these values of L(1, χ) as χ ranges over all non-trivial Dirichlet characters mod q with q > 2.

Keywords: Dirichlet Character; Algebraic Independence; Linear Algebraic Combinations; Positive Algebraic Number; Irreducible Characters (search for similar items in EconPapers)
Date: 2014
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-1-4939-0832-5_25

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DOI: 10.1007/978-1-4939-0832-5_25

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