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International Mathematics Research Notices (2000) 2000:551-577, doi:10.1155/S1073792800000301
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Copyright © 2000 Hindawi Publishing Corporation. All rights reserved.

On a result of Selberg concerning zeros of linear combinations of L-functions

Dennis A. Hejhal

In this paper, we derive a precise order of magnitude estimate for the number of zeros lying to the right of {sigma} = ß in the case of a generic linear combination of two Euler products, L1 and L2. The pertinent exceptional sets are seen to be sets of small logarithmic capacity.


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