Abstract In this paper we use techniques from the theory of modular forms to determine all eta quotients whose derivative is also an eta quotient of levels up to 36.… Click to show full abstract
Abstract In this paper we use techniques from the theory of modular forms to determine all eta quotients whose derivative is also an eta quotient of levels up to 36. In addition, we present an algorithm that determines all eta quotients in M 2 k ( Γ 0 ( N ) ) . We also discuss some applications of these results. In particular, we evaluate a number of integrals in terms of algebraic constants.
Keywords:
eta quotient;
another eta;
quotient;
quotient another;
derivative eta
Journal Title: Journal of Mathematical Analysis and Applications
Year Published: 2019
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!
Journal Title: Journal of Mathematical Analysis and Applications
Year Published: 2019
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!