Transcendence conjectures about periods of modular forms and rational structures on spaces of modular forms
- Cite this article as:
- Kohnen, W. Proc. Indian Acad. Sci. (Math. Sci.) (1989) 99: 231. doi:10.1007/BF02864395
The conjecture is made that the rational structures on spaces of modular forms coming from the rationality of Fourier coefficients and the rationality of periods are not compatible. A consequence would be that ζ(2k-1)/π2k-1 (ζ(s)=Riemann zeta function;k∈ℕ,k≥2) is irrational or even transcendental.