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 95 articles , 2 standard articles )

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  1. Goldfeld, Dorian; Stade, Eric; Woodbury, Michael: An orthogonality relation for (\textGL(4, \mathbbR)) (with an appendix by Bingrong Huang) (2021)
  2. Gori, Anna; Verjovsky, Alberto; Vlacci, Fabio: A note on moduli spaces of conformal classes for flat tori of higher dimension and on their conformal multiplication (2021)
  3. Huang, Bingrong: Hybrid subconvexity bounds for twisted (L)-functions on (\mathrmGL(3)) (2021)
  4. Hulse, Thomas A.; Kuan, Chan Ieong; Lowry-Duda, David; Walker, Alexander: Triple correlation sums of coefficients of cusp forms (2021)
  5. Jana, Subhajit: Applications of analytic newvectors for (\operatornameGL(N)) (2021)
  6. Lau, Yuk-Kam; Ng, Ming Ho; Wang, Yingnan: On the exceptional set of the generalized Ramanujan conjecture for (\mathrmGL(3)) (2021)
  7. Nicole, Marc-Hubert; Rosso, Giovanni: Families of Drinfeld modular forms for the general linear group (2021)
  8. Blomer, Valentin: Epstein zeta-functions, subconvexity, and the purity conjecture (2020)
  9. Blomer, Valentin; Harcos, Gergely; Maga, Péter: Analytic properties of spherical cusp forms on (\mathrmGL(n)) (2020)
  10. Chandee, Vorrapan; Li, Xiannan: The second moment of (\mathrmGL(4) \times\mathrmGL(2)) (L)-functions at special points (2020)
  11. Jiang, Yujiao; Lü, Guangshi: The Bombieri-Vinogradov theorem on higher rank groups and its applications (2020)
  12. Jiang, Yujiao; Lü, Guangshi: On an analogue of prime vectors among integer lattice points in ellipsoids for automorphic forms (2020)
  13. Kowalski, Emmanuel; Lin, Yongxiao; Michel, Philippe; Sawin, Will: Periodic twists of (\operatornameGL_3)-automorphic forms (2020)
  14. Lin, Bingchen; Tian, Fangyang: Archimedean non-vanishing, cohomological test vectors, and standard (L)-functions of (\mathrmGL_2n): complex case (2020)
  15. Pi, Qinghua: Central values of (\textGL(2)\times\textGL(3)) Rankin-Selberg (L)-functions (2020)
  16. Xu, Zhao: The second moment of (\mathrmGL(3) \times\mathrmGL(2)) (L)-functions at special points from (\mathrmGL(3)) forms (2020)
  17. Acharya, Ratnadeep: Strong orthogonality between the Möbius function, additive characters and the coefficients of the (L)-functions of degree three (2019)
  18. Blomer, Valentin; Buttcane, Jack: Global decomposition of (\operatornameGL(3)) Kloosterman sums and the spectral large sieve (2019)
  19. Blomer, Valentin; Harcos, Gergely; Maga, Péter: On the global sup-norm of (\mathrmGL(3)) cusp forms (2019)
  20. Chatzakos, Dimitrios: Mean value results and (\Omega)-results for the hyperbolic lattice point problem in conjugacy classes (2019)

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