Distribution of values of symmetric power L-functions at the edge of the critical strip

We study some problems on the distribution of values of symmetric power L  -functions at s=1s=1 in both aspects of level and weight: bounds of these values, extreme values, Montgomery–Vaughan's conjecture and distribution functions. Our results generalize and/or improve related results of Royer–Wu [20], Cogdell–Michel [2], Lau–Wu [12] and [13] and Liu–Royer–Wu [14].