Zeros of the Derivatives of L-functions Attached to Cusp Forms

• Autorzy: Yashiro Y.

Identyfikatory

DOI

10.4064/ba8068-10-2016

• Języki publikacji: EN

Abstrakty

EN

Let f be a holomorphic cusp form of weight k with respect to SL₂(Z) which is a normalized Hecke eigenform, and L_f(s) the L-function attached to f. We shall give a relation between the number of zeros of L_f(s) and of the derivatives of L_f(s) using Berndt’s method, and an estimate of zero-density of the derivatives of L_f(s) based on Littlewood’s method.

Słowa kluczowe

EN

cusp forms; L-functions; derivatives; zeros

• Wydawca: Instytut Matematyczny PAN
• Czasopismo: Bulletin of the Polish Academy of Sciences. Mathematics
• Rocznik: 2016
• Tom: Vol. 64, no. 2/3
• Strony: 147--164
• Opis fizyczny: Bibliogr. 16 poz.

Twórcy

autor

Yashiro Y.

• Graduate School of Mathematics, Nagoya University, Nagoya 464-8602, Japan

Bibliografia

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Uwagi

Opracowanie ze środków MNiSW w ramach umowy 812/P-DUN/2016 na działalność upowszechniającą naukę.