Distinguishing Hecke eigenforms

Details Distinguishing Hecke eigenforms Distinguishing Hecke eigenforms

2010-04-27

arxiv.org/abs/1004.4705v1

Mathematics

Number Theory

6 pages, 1 figure

Scientific paper

We revisit a theorem of Ram Murty about the number of initial Fourier coefficients that two cuspidal eigenforms of different weights can have in common. We prove an explicit upper bound on this number, and give better conditional and unconditional asymptotic upper bounds. Finally, we describe a numerical experiment testing the sharpness of the upper bound in the case of forms of level one.

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