GL(n)pack

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 72 articles , 2 standard articles )

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  1. Blomer, Valentin; Harcos, Gergely; Maga, Péter: On the global sup-norm of (\mathrmGL(3)) cusp forms (2019)
  2. Brubaker, Ben; Buciumas, Valentin; Bump, Daniel; Friedberg, Solomon: Hecke modules from metaplectic ice (2018)
  3. Chen, Guohua; Yan, Xiaofei: Non-vanishing of the first derivative of (\mathrmGL(3) \times\mathrmGL(2)) (L)-functions (2018)
  4. Holowinsky, Roman; Nelson, Paul D.: Subconvex bounds on (\mathrmGL_3) via degeneration to frequency zero (2018)
  5. Huang, Bingrong; Liu, Shenhui; Xu, Zhao: Mollification and non-vanishing of automorphic (L)-functions on (\mathrmGL(3)) (2018)
  6. Hulse, Thomas A.; Kuan, Chan Ieong; Lowry-Duda, David; Walker, Alexander: Second moments in the generalized Gauss circle problem (2018)
  7. Lü, Guangshi; Xi, Ping: On triple correlations of Fourier coefficients of cusp forms (2018)
  8. Xi, Ping: A shifted convolution sum for (\mathrmGL(3) \times\mathrmGL(2)) (2018)
  9. Bekki, Hohto: On periodicity of geodesic continued fractions (2017)
  10. Belin, Alexandre; de Boer, Jan; Kruthoff, Jorrit; Michel, Ben; Shaghoulian, Edgar; Shyani, Milind: Universality of sparse (d > 2) conformal field theory at large (N) (2017)
  11. Buttcane, Jack; Khan, Rizwanur: On the fourth moment of Hecke-Maass forms and the random wave conjecture (2017)
  12. Folsom, Amanda: Perspectives on mock modular forms (2017)
  13. Hulse, Thomas A.; Kuan, Chan Ieong; Lowry-Duda, David; Walker, Alexander: Sign changes of coefficients and sums of coefficients of (L)-functions (2017)
  14. Hulse, Thomas A.; Kuan, Chan Ieong; Lowry-Duda, David; Walker, Alexander: The second moment of sums of coefficients of cusp forms (2017)
  15. Hulse, Thomas A.; Kuan, Chan Ieong; Lowry-Duda, David; Walker, Alexander: Short-interval averages of sums of Fourier coefficients of cusp forms (2017)
  16. Jiang, Yujiao; Lü, Guangshi: Fourth power moment of coefficients of automorphic (L)-functions for (\mathrmGL(m)) (2017)
  17. Kühn, Patrick; Robles, Nicolas; Zaharescu, Alexandru: The largest gap between zeros of entire (L)-functions is less than 41.54 (2017)
  18. Czarnecki, Kyle: Resonance sums for Rankin-Selberg products of (\mathrmSL_m(\mathbbZ)) Maass cusp forms (2016)
  19. DeCelles, Amy T.: Constructing Poincaré series for number theoretic applications (2016)
  20. Dong, L. L.; Liu, H. F.; Zhang, D.: Zero density estimates for automorphic (L)-functions of (\mathrmGL_m) (2016)

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