Lower order terms for the one-level densities of symmetric power $L$-functions in the level aspect

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/212806In a previous paper, the authors determined, among other things, the main terms for the one-level densities for low-lying zeros of symmetric power L-functions in the level aspect. In this paper, the lower order terms of these one-level densities are found. The combinatorial difficulties, which should arise in such context, are drastically reduced thanks to Chebyshev polynomials, which are the characters of the irreducible representations of SU(2). %Number Theory11M41Lower order terms for the one-level densities of symmetric power $L$-functions in the level aspecttext