Automorphic forms and L-functions for the group GL(n,ℝ). With an appendix by Kevin A. Broughan. Each chapter of the book concludes with a list of relevant computer programs from GL(n)pack, a Mathematica add-on package developed by Kevin Broughan. The book includes a substantial appendix by him which is a manual for this package. For example, the package allows one to find the Iwasawa decomposition of a given non-singular n×n real matrix, to find generalized Casimir operators, and to compute generalized Kloosterman sums associated to GL(n).

References in zbMATH (referenced in 88 articles , 2 standard articles )

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  1. Hulse, Thomas A.; Kuan, Chan Ieong; Lowry-Duda, David; Walker, Alexander: Triple correlation sums of coefficients of cusp forms (2021)
  2. Blomer, Valentin: Epstein zeta-functions, subconvexity, and the purity conjecture (2020)
  3. Blomer, Valentin; Harcos, Gergely; Maga, Péter: Analytic properties of spherical cusp forms on (\mathrmGL(n)) (2020)
  4. Chandee, Vorrapan; Li, Xiannan: The second moment of (GL (4) \timesGL (2) L)-functions at special points (2020)
  5. Jiang, Yujiao; Lü, Guangshi: The Bombieri-Vinogradov theorem on higher rank groups and its applications (2020)
  6. Jiang, Yujiao; Lü, Guangshi: On an analogue of prime vectors among integer lattice points in ellipsoids for automorphic forms (2020)
  7. Kowalski, Emmanuel; Lin, Yongxiao; Michel, Philippe; Sawin, Will: Periodic twists of (\operatornameGL_3)-automorphic forms (2020)
  8. Lin, Bingchen; Tian, Fangyang: Archimedean non-vanishing, cohomological test vectors, and standard (L)-functions of (\textGL_2n): complex case (2020)
  9. Pi, Qinghua: Central values of (\textGL(2)\times\textGL(3)) Rankin-Selberg (L)-functions (2020)
  10. Acharya, Ratnadeep: Strong orthogonality between the Möbius function, additive characters and the coefficients of the (L)-functions of degree three (2019)
  11. Blomer, Valentin; Buttcane, Jack: Global decomposition of (\operatornameGL(3)) Kloosterman sums and the spectral large sieve (2019)
  12. Blomer, Valentin; Harcos, Gergely; Maga, Péter: On the global sup-norm of (\mathrmGL(3)) cusp forms (2019)
  13. Chatzakos, Dimitrios: Mean value results and (\Omega)-results for the hyperbolic lattice point problem in conjugacy classes (2019)
  14. Zhang, Liyang: Quantum unique ergodicity of degenerate Eisenstein series on (\mathrmGL(n)) (2019)
  15. Zhang, Wei: Fourier coefficients at primes twisted with exponential functions (2019)
  16. Brubaker, Ben; Buciumas, Valentin; Bump, Daniel; Friedberg, Solomon: Hecke modules from metaplectic ice (2018)
  17. Chen, Guohua; Yan, Xiaofei: Non-vanishing of the first derivative of (\mathrmGL(3) \times\mathrmGL(2)) (L)-functions (2018)
  18. He, Xiaoguang: Exponential sums involving automorphic forms for (\mathrmGL(3)) over arithmetic progressions (2018)
  19. Holowinsky, Roman; Nelson, Paul D.: Subconvex bounds on (\mathrmGL_3) via degeneration to frequency zero (2018)
  20. Huang, Bingrong; Liu, Shenhui; Xu, Zhao: Mollification and non-vanishing of automorphic (L)-functions on (\mathrmGL(3)) (2018)

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