Bounds for modular $L$-functions in the level aspect

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A general Voronoi summation formula for GL(n,Z) (2009, background): “hday 1. Introduction The Voronoi summation formulas for GL(2) and GL(3) have had numerous applications to problems in analytic number theory, perhaps most notably to recent subconvexity results (e.g. [1,6,15,16,20]). The formulas provide an identity between sums of the form X m∈Z am e 2πimα f(m) = X”
The subconvexity problem for GL2 (2009, background): “— The bound generalizes (up to the value of δ) a variety of subconvex bounds [71,12,29,27,47,17,18,64,22,34,19,42,44,48,6,54,31,9,8, 67,16].”
Sums of Kloosterman sums in arithmetic progressions, and the error term in the dispersion method (2015, unknown): “al to [DI82b, page 240], keeping track of an additional factor χ(D) in the summand. 4.1.2. Normalization. In order to state the Kuznetsov formula, we ﬁrst ﬁx the normalization. We largely borrow from [BHM07a]. We also refer to [DFI02, Section 4] for useful explanations on Maaß forms, and to [Pro03] ”
Distribution of periodic torus orbits and Duke's theorem for cubic fields (2007, background): “L(ρ, s) is the L-function of a GL2,Q-automorphic form and the subconvex bound for the latter class of L-functions follows from the works of Duke, Friedlander, Iwaniec [14] and Blomer, Harcos and the third author [3].”