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).

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References in zbMATH (referenced in 50 articles , 1 standard article )

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  1. Czarnecki, Kyle: Resonance sums for Rankin-Selberg products of $\mathrmSL_m(\mathbbZ)$ Maass cusp forms (2016)
  2. DeCelles, Amy T.: Constructing Poincaré series for number theoretic applications (2016)
  3. Dong, L.; Liu, H.; Zhang, D.: Zero density estimates for automorphic $L$-functions of $GL_m$ (2016)
  4. Goldberg, David; Szpruch, Dani: Plancherel measures for coverings of $p$-adic $\mathrmSL_2(F)$ (2016)
  5. Hou, Fei: On exponential sums involving Fourier coefficients of cusp forms over primes (2016)
  6. Zhou, Fan: Voronoi summation formulae on $\operatornameGL(n)$ (2016)
  7. Bllaca, Kajtaz H.: On zeros of certain Dirichlet polynomials (2015)
  8. Chamizo, Fernando; Raboso, Dulcinea: On the Kuznetsov formula (2015)
  9. Elliott, P.D.T.A.: Central limit theorems for classical cusp forms (2015)
  10. Ernvall-Hytönen, Anne-Maria; Jääsaari, Jesse; Vesalainen, Esa V.: Resonances and $\Omega$-results for exponential sums related to Maass forms for $\mathrmSL(n, \mathbbZ)$ (2015)
  11. Hou, Fei: Oscillations of coefficients of symmetric square $L$-functions over primes (2015)
  12. Lee, Min: Approximate converse theorem (2015)
  13. Munshi, Ritabrata; Sengupta, Jyoti: Determination of $GL(3)$ Hecke-Maass forms from twisted central values (2015)
  14. Ren, XiuMin; Ye, YangBo: Resonance and rapid decay of exponential sums of Fourier coefficients of a Maass form for $\mathrmGL_m(\mathbb Z)$ (2015)
  15. Yang, Enlin; Yin, Linsheng: Derivatives of Siegel modular forms and modular connections (2015)
  16. Jiang, Yujiao; Lü, Guangshi: On the higher mean over arithmetic progressions of Fourier coefficients of cusp forms (2014)
  17. Khan, Rizwanur: On the fourth moment of holomorphic Hecke cusp forms (2014)
  18. Kowalski, Emmanuel; Ricotta, Guillaume: Fourier coefficients of $\mathrmGL(N)$ automorphic forms in arithmetic progressions (2014)
  19. O’Connell, Neil; Seppäläinen, Timo; Zygouras, Nikos: Geometric RSK correspondence, Whittaker functions and symmetrized random polymers (2014)
  20. Sun, Li; Yang, Enlin: On the $\mathrmGL(r)\times\mathrmGL(r+s)\times\mathrmGL(s)$ convolution (2014)

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