Mathematical Research Letters

Volume 28 (2021)

Number 1

The doubling archimedean zeta integrals for $p$-adic interpolation

Pages: 145 – 173



Zheng Liu (Department of Mathematics and Statistics, McGill University, Montreal, Quebec, Canada)


We compute the archimedean doubling zeta integrals which appear in the interpolation formulas for the $p$-adic $L$-functions of Siegel modular forms constructed in [Z. Liu, “$p$‑adic $L$‑functions for ordinary families of symplectic groups”, J. Inst. Math. Jussieu 19 (2020), no. 4, 1287–1347].

Received 13 March 2019

Accepted 22 August 2019

Published 24 May 2022