On a sufficient condition for the existence of admissible \(p\)-adic measures
The author gives a new sufficient condition for the existence of admissible \(p\)-adic measures obtained from sequences of distributions \((\Phi_j)_{i\geq 0}\) with values in spaces of modular forms (Theorem~1). The condition is expressed in terms of congruences between Fourier coefficients of modular forms \(\Phi_j\). The author verifies these congruences in the classical cases of Rankin-Selberg convolutions and triple product \(L\)-functions (sections 9 and 10).
scientific article; zbMATH DE number 2184625