Morten S. Risager

Morten S. Risager

Professor


  1. 2022
  2. Published

    Bounds on shifted convolution sums for Hecke eigenforms

    Nordentoft, A. C., Petridis, Y. N. & Risager, Morten S., 2022, In: Research in Number Theory. 8, 2, p. 1-20 26.

    Research output: Contribution to journalJournal articleResearchpeer-review

  3. Published

    Prime geodesics and averages of the Zagier L-series

    Balkanova, O. L. G. A., Frolenkov, D. & Risager, Morten S., 2022, In: Mathematical Proceedings of the Cambridge Philosophical Society. 172, p. 705–728

    Research output: Contribution to journalJournal articleResearchpeer-review

  4. Published

    Small-scale equidistribution of Hecke eigenforms at infinity

    Nordentoft, A. C., Petridis, Y. N. & Risager, Morten S., 2022, In: Journal of the London Mathematical Society. 106, 3, p. 2696-2729

    Research output: Contribution to journalJournal articleResearchpeer-review

  5. 2021
  6. Published

    Higher Order Deformations of Hyperbolic Spectra

    Petridis, Y. N. & Risager, Morten S., 2021, Schrödinger Operators, Spectral Analysis and Number Theory: In Memory of Erik Balslev. Albeverio, S., Balslev, A. & Weder, R. (eds.). Springer, p. 223-239 (Springer Proceedings in Mathematics & Statistics; No. 348).

    Research output: Chapter in Book/Report/Conference proceedingBook chapterResearchpeer-review

  7. 2018
  8. Published

    Arithmetic statistics of modular symbols

    Petridis, Y. N. & Risager, Morten S., Jun 2018, In: Inventiones Mathematicae. 212, 3, p. 997-1053

    Research output: Contribution to journalJournal articleResearchpeer-review

  9. Published

    Averaging over Heegner Points in the Hyperbolic Circle Problem

    Petridis, Y. N. & Risager, Morten S., 2018, In: International Mathematics Research Notices. 2018, 16, p. 4942-4968

    Research output: Contribution to journalJournal articleResearchpeer-review

  10. Published

    On the variance of the error term in the hyperbolic circle problem

    Cherubim, G. & Risager, Morten S., 2018, In: Revista Matematica Iberoamericana. 34, 2, p. 655-685

    Research output: Contribution to journalJournal articleResearchpeer-review

  11. 2017
  12. Published

    Angles in hyperbolic lattices: The pair correlation density

    Risager, Morten S. & Södergren, C. A., 2017, In: Transactions of the American Mathematical Society. 369, 4, p. 2807-2841 44 p.

    Research output: Contribution to journalJournal articleResearchpeer-review

  13. Published

    Local average in hyperbolic lattice point counting: with an appendix by Niko Laaksonen

    Petridis, Y. N. & Risager, Morten S., 2017, In: Mathematische Zeitschrift. 285, 3, p. 1319–1344

    Research output: Contribution to journalJournal articleResearchpeer-review

  14. 2014
  15. Published

    Double Dirichlet series and quantum unique ergodicity of weight one-half Eisenstein series

    Petridis, Y., Raulf, N. & Risager, Morten S., 21 Oct 2014, In: Algebra & Number Theory. 8, 7, p. 1539-1595 57 p.

    Research output: Contribution to journalJournal articleResearchpeer-review

  16. 2013
  17. Published

    Erratum to "Quantum Limits of Eisenstein Series and Scattering States''

    Petridis, Y. N., Raulf, N. & Risager, Morten S., 1 Dec 2013, In: Canadian Mathematical Bulletin. 56, 4, p. 827-829 2 p.

    Research output: Contribution to journalComment/debateResearchpeer-review

  18. Published

    Quantum limits of Eisenstein series and scattering states

    Petridis, Y. N., Raulf, N. & Risager, Morten S., 1 Dec 2013, In: Canadian Mathematical Bulletin. 56, 4, p. 814-826 13 p.

    Research output: Contribution to journalJournal articleResearchpeer-review

  19. Published

    DISSOLVING OF CUSP FORMS: HIGHER-ORDER FERMI'S GOLDEN RULES

    Petridis, Y. N. & Risager, Morten S., Jul 2013, In: Mathematika. 59, 2, p. 269-301

    Research output: Contribution to journalJournal articleResearchpeer-review

  20. Published

    Non-vanishing of Taylor coefficients and Poincaré series

    O'Sullivan, C. & Risager, Morten S., 1 Jan 2013, In: Ramanujan Journal. 30, 1, p. 67-100 34 p.

    Research output: Contribution to journalJournal articleResearchpeer-review

  21. 2011
  22. Published

    Instability of cuspidal eigenvalues for hyperbolic surfaces

    Risager, Morten S. & Petridis, Y., 2011, Automorphic forms, trace formulas and zeta functions. Gon, Y. & Moriyama, T. (eds.). Kyoto, Vol. 1767. p. 146–160 15 p. (Proceedings of RIMS Symposium).

    Research output: Chapter in Book/Report/Conference proceedingArticle in proceedingsResearchpeer-review

  23. Published

    On Selberg's small eigenvalue conjecture and residual eigenvalues

    Risager, Morten S., 2011, In: Journal fur die Reine und Angewandte Mathematik. 656, p. 179-211 32 p.

    Research output: Contribution to journalJournal articleResearchpeer-review

  24. 2010
  25. Published

    Pairs of periodic orbits with fixed homology difference.

    Risager, Morten S. & Sharp, R., 2010, In: Proceedings of the Edinburgh Mathematical Society. 53, 3, p. 799–808 9 p.

    Research output: Contribution to journalJournal articleResearchpeer-review

  26. 2009
  27. Published

    Hyperbolic lattice-point counting and modular symbols

    N. Petridis, Y. & Risager, Morten S., 2009, In: Journal de Theorie des Nombres de Bordeaux. 21, 3, p. 719-732 14 p.

    Research output: Contribution to journalJournal articleResearchpeer-review

  28. Published

     On the statistics of the minimal solution of a linear Diophantine equation and uniform distribution of the real part of orbits in hyperbolic spaces.

    Risager, Morten S. & Rudnick, Z., 2009, In: Contemporary Mathematics. 484, p. 187 194 p.

    Research output: Contribution to journalJournal articleResearchpeer-review

  29. 2008
  30. Published

    Distribution of Angles in Hyperbolic Lattices

    Risager, Morten S. & L. Truelsen, J., 2008, In: Quarterly Journal of Mathematics.

    Research output: Contribution to journalJournal articleResearchpeer-review

  31. Published

    Equidistribution of geodesics on homology classes and analogues for free groups

    Risager, Morten S., 2008, In: Forum Mathematicum. 20, 5, p. 783-815 33 p.

    Research output: Contribution to journalJournal articleResearchpeer-review

  32. 2006
  33. Published

    Discrete logarithms in free groups

    Risager, Morten S. & Petridis, Y. N., 2006, In: Proceedings of the American Mathematical Society. 134, 4, p. 1003-1012 10 p.

    Research output: Contribution to journalJournal articleResearchpeer-review

  34. 2005
  35. Published

    The distribution of values of the Poincare pairing for hyperbolic Riemann surfaces

    Risager, Morten S. & Yiannis N., P., 2005, In: Journal fur die Reine und Angewandte Mathematik. 579, p. 159-173 14 p.

    Research output: Contribution to journalJournal articleResearchpeer-review

  36. 2004
  37. Published

    Asymptotic densities of Maass newforms

    Risager, Morten S., 2004, In: Journal of Number Theory. 109, 1, p. 96-119 24 p.

    Research output: Contribution to journalJournal articleResearchpeer-review

  38. Published

    Modular symbols have a normal distribution

    Risager, Morten S. & Petridis, Y. N., 2004, In: Geometric and Functional Analysis. 14, 5, p. 1013-1043 30 p.

    Research output: Contribution to journalJournal articleResearchpeer-review

  39. Published

    On the distribution of modular symbols for compact surfaces

    Risager, Morten S., 2004, In: International Mathematics Research Notices. 41, p. 2125-2146 22 p.

    Research output: Contribution to journalJournal articleResearchpeer-review

ID: 5353232