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
M. Ram Murty; V. Kumar Murty. "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.
VANCOUVER
Murty, M. R., Murty, V. K. On the transcendence of certain Petersson inner products. Bulletin of the Iranian Mathematical Society, 2017; 43(Issue 4 (Special Issue)): 313-316.
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