ALGEBRAIC INDEPENDENCE OF VALUES OF MODULAR FORMS

DOI10.1142/S1793042111004769zbMath1231.11082MaRDI QIDQ5198404

Sanoli Gun, M. Ram Murty, Purusottam Rath

Publication date: 8 August 2011

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

zbMATH Keywords

Nesterenko's Theoremtranscendental values of modular formsSchneider's Theorem

Mathematics Subject Classification ID

Transcendence theory of other special functions (11J91) Transcendence (general theory) (11J81)

Related Items (9)

Unnamed Item ⋮ On values of weakly holomorphic modular functions at divisors of meromorphic modular forms ⋮ Algebraic independence of values of quasi-modular forms ⋮ Proportion of modular forms with transcendental zeros for general levels ⋮ On zeros of quasi-modular forms ⋮ Transcendental numbers and special values of Dirichlet series ⋮ Density of modular forms with transcendental zeros ⋮ On the zeros of weakly holomorphic modular forms ⋮ Transcendence of zeros of Jacobi forms

Cites Work

• Unnamed Item
• Transcendency of zeros of Eisenstein series
• A proof of the Mahler-Manin conjecture
• Some applications of Kronecker's limit formulas
• Arithmetische Untersuchungen elliptischer Integrale
• TRANSCENDENTAL ZEROS OF CERTAIN MODULAR FORMS
• Elementary Dirichlet Series and Modular Forms
• On the Zeros of Eisenstein Series
• Introduction to algebraic independence theory. With contributions from F. Amoroso, D. Bertrand, W. D. Brownawell, G. Diaz, M. Laurent, Yu. V. Nesterenko, K. Nishioka, P. Philippon, G. Rémond, D. Roy, M. Waldschmidt

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