On Two Lacunary Series and Modular Curves

DOI10.1007/978-88-470-1947-8_18zbMath1253.30006OpenAlexW166432427MaRDI QIDQ2905011

Ahmed Sebbar

Publication date: 24 August 2012

Published in: The Mathematical Legacy of Leon Ehrenpreis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-88-470-1947-8_18

zbMATH Keywords

modular curvestheta functionlacunary seriesgap series

Mathematics Subject Classification ID

Power series (including lacunary series) in one complex variable (30B10) Modular and automorphic functions (11F03)

Cites Work

• Linear Differential equations of infinite order and theta functions
• Theta functions and transcendence
• Paper folding, theta functions and the circle method
• Variations on a theme of Hardy's
• Elliptic Modular Forms and Their Applications
• A Gap Theorem for Power Series Solutions of Algebraic Differential Equations
• On the Representations of a Number as the Sum of Three Squares
• A new entire function related to a well‐known noncontinuable power series
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