@article { author = {Murty, M. Ram and Murty, V. Kumar}, title = {On the transcendence of certain Petersson inner products}, journal = {Bulletin of the Iranian Mathematical Society}, volume = {43}, number = {Issue 4 (Special Issue)}, pages = {313-316}, year = {2017}, publisher = {Iranian Mathematical Society (IMS)}, issn = {1017-060X}, eissn = {1735-8515}, doi = {}, abstract = {‎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.}, keywords = {CM modular forms‎,‎Petersson inner product‎,‎transcendence‎}, url = {http://bims.iranjournals.ir/article_1166.html}, eprint = {http://bims.iranjournals.ir/article_1166_e449b055e17f6c248f5fa47a9b5f2f73.pdf} }