Transcendency of zeros of Eisenstein series

DOI10.3792/PJAA.76.51zbMath0973.11051OpenAlexW2082922586MaRDI QIDQ1587883

Naruo Kanou

Publication date: 5 December 2001

Published in: Proceedings of the Japan Academy. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3792/pjaa.76.51

zbMATH Keywords

Eisenstein seriestranscendental zero

Mathematics Subject Classification ID

Transcendence theory of other special functions (11J91) Holomorphic modular forms of integral weight (11F11)

Related Items (7)

Asymptotic expansion of Fourier coefficients of reciprocals of Eisenstein series ⋮ Proportion of modular forms with transcendental zeros for general levels ⋮ On zeros of quasi-modular forms ⋮ Density of modular forms with transcendental zeros ⋮ ALGEBRAIC INDEPENDENCE OF VALUES OF MODULAR FORMS ⋮ On the zeros of weakly holomorphic modular forms ⋮ TRANSCENDENTAL ZEROS OF CERTAIN MODULAR FORMS

Cites Work

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• Automorphic forms on \(O_{s+2,2}(\mathbb R)\) and infinite products
• Note on a Paper of Rankin
• On the Zeros of Eisenstein Series
• Transcendental Numbers. (AM-16)

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