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 64 articles , 2 standard articles )

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  1. Lü, Guangshi; Xi, Ping: On triple correlations of Fourier coefficients of cusp forms (2018)
  2. Bekki, Hohto: On periodicity of geodesic continued fractions (2017)
  3. Buttcane, Jack; Khan, Rizwanur: On the fourth moment of Hecke-Maass forms and the random wave conjecture (2017)
  4. Folsom, Amanda: Perspectives on mock modular forms (2017)
  5. Hulse, Thomas A.; Kuan, Chan Ieong; Lowry-Duda, David; Walker, Alexander: Sign changes of coefficients and sums of coefficients of $L$-functions (2017)
  6. Hulse, Thomas A.; Kuan, Chan Ieong; Lowry-Duda, David; Walker, Alexander: Short-interval averages of sums of Fourier coefficients of cusp forms (2017)
  7. Hulse, Thomas A.; Kuan, Chan Ieong; Lowry-Duda, David; Walker, Alexander: The second moment of sums of coefficients of cusp forms (2017)
  8. Jiang, Yujiao; Lü, Guangshi: Fourth power moment of coefficients of automorphic $L$-functions for $\mathrmGL(m)$ (2017)
  9. Kühn, Patrick; Robles, Nicolas; Zaharescu, Alexandru: The largest gap between zeros of entire $L$-functions is less than 41.54 (2017)
  10. Czarnecki, Kyle: Resonance sums for Rankin-Selberg products of $\mathrmSL_m(\mathbbZ)$ Maass cusp forms (2016)
  11. DeCelles, Amy T.: Constructing Poincaré series for number theoretic applications (2016)
  12. Dong, L.L.; Liu, H.F.; Zhang, D.: Zero density estimates for automorphic $L$-functions of $\mathrmGL_m$ (2016)
  13. Goldberg, David; Szpruch, Dani: Plancherel measures for coverings of $p$-adic $\mathrmSL_2(F)$ (2016)
  14. Hou, Fei: On exponential sums involving Fourier coefficients of cusp forms over primes (2016)
  15. Jiang, Yujiao; Lü, Guangshi; Yan, Xiaofei: Mean value theorem connected with Fourier coefficients of Hecke-Maass forms for $\mathrmSL(m, \mathbbZ)$ (2016)
  16. Matz, Jasmin: Distribution of Hecke eigenvalues for $\mathrmGL(n)$ (2016)
  17. Zhou, Fan: Voronoi summation formulae on $\operatornameGL(n)$ (2016)
  18. Bllaca, Kajtaz H.: On zeros of certain Dirichlet polynomials (2015)
  19. Chamizo, Fernando; Raboso, Dulcinea: On the Kuznetsov formula (2015)
  20. Elliott, P.D.T.A.: Central limit theorems for classical cusp forms (2015)

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