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Список литературы
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| Ar. |
Арнольд В. И., “Несколько замечаний о потоках линейных элементов и реперов”, Докл. АН СССР, 138:2 (1961), 255–257   |
| Da. |
Dani S. G., “Orbits of horospherical flows”, Duke Math. J., 53:1 (1986), 177–188   |
| DM. |
Dani S. G., Margulis G. A., “Limit distributions of orbits of unipotent flows and values of
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| EMM. |
Eskin A., McMullen C., “Mixing, counting, and equidistribution in Lie groups”, Duke Math. J., 71:1 (1993), 181–209 |
| FJK. |
Fiedler H., Jurkat W., Körner O., “Asymptotic expansions of finite theta series”, Acta Arith., 32:2 (1977), 129–146 |
| Ig. |
Igusa J., “On the graded ring of theta-constants. II”, Amer. J. Math., 88 (1966), 221–236 |
| HL1. |
Hardy G. H., Littlewood J. E., “Some problems of Diophantine approximation. II”, Acta Math., 37 (1914), 193–239 |
| HL2. |
Hardy G. H., Littlewood J. E., “A further note on the trigonometrical series associated with the
elliptic theta-functions”, Proc. Cambridge Philos. Soc., 21 (1922), 1–5 |
| JVH1. |
Jurkat W. B., Van Home J. W., “The proof of the central limit theorem for theta sums”, Duke Math. J., 48:4 (1981), 873–885 |
| JVH2. |
Jurkat W. B., Van Home J. W., “On the central limit theorem for theta series”, Michigan Math. J., 29:1 (1982), 65–77 |
| JVH3. |
Jurkat W. B, Van Home J. W., “The uniform central limit theorem for theta sums”, Duke Math. J., 50:3 (1983), 649–666 |
| Kli. |
Klingen H., Introductory lectures on Siegel modular forms, Cambridge Stud. Adv. Math., 20, Cambridge Univ. Press, Cambridge, 1990 |
| LV. |
Lion G., Vergne M., The Weil representation, Maslov index and theta series, Progr. Math., 6, Birkhäuser, Boston, MA, 1980 |
| Ma1. |
Marklof J., “Theta sums, Eisenstein series, and the semiclassical dynamics of
a precessing spin”, Emerging Applications of Number Theory (Minneapolis, MN, 1996), IMA Vol. Math. Appl., 109, Springer, New York, 1999, 405–450 |
| Ma2. |
Marklof J., “Limit theorems for theta sums”, Duke Math. J., 97:1 (1999), 127–153 |
| Mo1. |
Moore C. C., “Ergodicity of flows on homogeneous spaces”, Amer. J. Math., 88 (1966), 154–178 |
| Mo2. |
Moore C. C., “Exponential decay of correlation coefficients for geodesic flows”, Group Representations, Ergodic Theory, Operator Algebras, and
Mathematical Physics (Berkeley, CA, 1984), Math. Sci. Res. Inst. Publ., 6, Springer-Verlag, New York–Berlin, 1987, 163–181 |
| Mum. |
Mumford D., Tata lectures on theta. I, Progr. Math., 28, Birkhäuser, Boston, MA, 1983 |
| R. |
Ratner M., “On Raghunathan's measure conjecture”, Ann. of Math. (2), 134:3 (1991), 545–607 |
| Sa. |
Samak P., “Asymptotic behavior of periodic orbits of the horocycle flow and
Eisenstein series”, Comm. Pure Appl. Math., 34:6 (1981), 719–739 |
