We show that for all normalized Hecke eigenforms $f$ with weight one and of CM type, the number $(f,f)$ where $(\cdot, \cdot )$ denotes the Petersson inner product, is a linear form in logarithms and hence transcendental.
Murty, M. R., & Murty, V. K. (2017). On the transcendence of certain Petersson inner products. Bulletin of the Iranian Mathematical Society, 43(Issue 4 (Special Issue)), 313-316.
MLA
Murty, M. R., & Murty, V. K. "On the transcendence of certain Petersson inner products", Bulletin of the Iranian Mathematical Society, 43, Issue 4 (Special Issue), 2017, 313-316.
HARVARD
Murty M. R., Murty V. K. (2017). 'On the transcendence of certain Petersson inner products', Bulletin of the Iranian Mathematical Society, 43(Issue 4 (Special Issue)), pp. 313-316.
CHICAGO
M. R. Murty & V. K. Murty, "On the transcendence of certain Petersson inner products," Bulletin of the Iranian Mathematical Society, 43 Issue 4 (Special Issue) (2017): 313-316,
VANCOUVER
Murty M. R., Murty V. K. On the transcendence of certain Petersson inner products. BIMS. 2017;43(Issue 4 (Special Issue)):313-316.
