Plus/minus \(p\)-adic \(L\)-functions for Hilbert modular forms
The main idea, which is not that different from Pollack's idea [\textit{R. Pollack}, Duke Math. J. 118, No. 3, 523--558 (2003; Zbl 1074.11061)], is to analyse the growth conditions of the reviewer's \(p\)-adic \(L\)-functions for Hilbert modular forms for different choices at \(p\)-Frobenius roots [Ann. Inst. Fourier 44, No. 4, 1025--1041 (1994; Zbl 0808.11035)]. Let us note that \textit{B. Zhang} [J. Number Theory 131, No. 3, 419--439 (2011; Zbl 1219.11135)] also used the \(p\)-adic \(L\)-function constructed by the reviewer to give plus/minus \(p\)-adic \(L\)-functions for Hilbert modular forms.
\(p\)-adic \(L\)-functions at supersingular primes
scientific article; zbMATH DE number 6005104