# Journal of the Ramanujan Mathematical Society

Volume 38, Issue 4, December 2023 pp. 393–403.

Zeroes of Rankinâ€“Selberg L–functions and the trace formula

**Authors**:
Tian An Wong

**Author institution:**
University of Michigan-Dearborn, 4901 Evergreen Road, Dearborn, MI 48128, USA.

**Summary: **
We express the contribution of certain maximal parabolic Eisenstein series to
the spectral side of the Arthur–Selberg trace formula for GL(n) in terms of
zeroes of Rankin–Selberg L-functions, generalizing previous results for GL(2)
and Hecke L-functions. As applications, we prove a lower bound for the sum of
these zeroes, and a base change relation between the zeroes in the case n = 2
for cyclic extensions of prime degree.

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