This invaluable volume collects papers written by many of the world's top experts on L-functions. It not only covers a wide range of topics from algebraic and analytic number theories, automorphic forms, to geometry and mathematical physics, but also treats the theory as a whole.The contributions reflect the latest, most advanced and most important aspects of L-functions. In particular, it contains Hida's lecture notes at the conference and at the Eigenvariety semester in Harvard University and Weng's detailed account of his works on high rank zeta functions and non-abelian L-functions.Contents: Quantum Maass Forms (R Bruggeman)Λ-invariant of p-Adic L-Functions (H Hida)Siegel Modular Forms of Weight Three and Conjectural Correspondence of Shimura Type and Langlands Type (T Ibukiyama)Convolutions of Fourier Coefficients of Cusp Forms and the Circle Method (M Jutila)On an Extension of the Derivation Relation for Multiple Zeta Values (M Kaneko)On Symmetric Powers of Cusp Forms on GL2 (H H Kim)Zeta Functions of Root Systems (Y Komori et al.)Sums of Kloosterman Sums Revisted (Y Motohashi)The Lindelöf Class of L-Functions (K Murty)A Proof of the Riemann Hypothesis for the Weng Zeta Function of Rank 3 for the Rationals (M Suzuki)Elliptic Curves Arising from the Spectral Zeta Function for Non-Commutative Harmonic Oscillators and Λ0(4)-Modular Forms (K Kimoto & M Wakayama)A Geometric Approach to L-Functions (L Weng)Readership: Graduate students, lecturers, and active researchers in various branches of mathematics, such as algebra, analysis, geometry and mathematical physics.