The Journal of the Indian Mathematical Society

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On the Size of L(k)(1, χ)


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1 Department of Mathematics, Toyo University, Kawagoe, Saitama 350, Japan
     

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Let D denote a positive integer, χ a real non-principal character modulo D and L(s, χ) the associated L-series. Further, let be a non-negative integer and L(k)(s, χ) the k-th derivative of L(s, χ). The aim of this note is to prove the following result which is a generalization of [2].
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  • On the Size of L(k)(1, χ)

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Authors

Masao Toyoizumi
Department of Mathematics, Toyo University, Kawagoe, Saitama 350, Japan

Abstract


Let D denote a positive integer, χ a real non-principal character modulo D and L(s, χ) the associated L-series. Further, let be a non-negative integer and L(k)(s, χ) the k-th derivative of L(s, χ). The aim of this note is to prove the following result which is a generalization of [2].