NON-VANISHING OF DERIVATIVES OF L-FUNCTIONS ATTACHED TO HILBERT MODULAR FORMS

DOI10.1142/S1793042112500662zbMath1247.11072MaRDI QIDQ2890259

Naomi Tanabe

Publication date: 8 June 2012

Published in: International Journal of Number Theory (Search for Journal in Brave)

zbMATH Keywords

transcendenceHilbert modular formsL-functionsnon-vanishing

Mathematics Subject Classification ID

Transcendence theory of other special functions (11J91) Special values of automorphic (L)-series, periods of automorphic forms, cohomology, modular symbols (11F67) Transcendence (general theory) (11J81) Automorphic forms on (mbox{GL}(2)); Hilbert and Hilbert-Siegel modular groups and their modular and automorphic forms; Hilbert modular surfaces (11F41)

Related Items (3)

On the nature of \(e^{\gamma}\) and non-vanishing of derivatives of \(L\)-series at \(s=1/2\) ⋮ On quotients of derivatives of \(L\)-functions inside the critical strip ⋮ Non-vanishing of derivatives of certain modular \(L\)-functions

Cites Work

• The special values of the zeta functions associated with Hilbert modular forms
• Transcendental Nature of Special Values of L-Functions
• Enumeration of Totally Real Number Fields of Bounded Root Discriminant

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