Publish or Perish!!

Mark Sheingorn
marksh@alum.dartmouth.org

  1. Individual Closed Horocyclic Orbits on the Modular Surface, (with Marvin Knopp), http://arxiv.org/abs/1103.6278
  2. McShane's Identity, Using Elliptic Elements, (with Thomas A. Schmidt), Geometricae Dedicata, 134 (2008) 75-90.
  3. Classifying Low Height Geodesics on , (with Thomas A. Schmidt), Int'l J. of Number Theory, 3 (2007) 421-438.
  4. Low Height Geodesics on : Explicit Height Formulae, Examples and Local Isolation, (with Thomas A. Schmidt), Int'l J. of Number Theory, 3 (2007) 473-501.
  5. Parametrizing Simple Closed Geodesy on , (with Thomas A. Schmidt), Journal of the Australian Math. Soc., 74 (2003) 43-60.
  6. Geodesics on Riemann Surfaces with Ramification Points of Order Greater than Two, New York Journal of Mathematics , New York J. Math., 7 (2001), 189-199.
  7. Covering the Hecke Triangle Groups, (with Thomas A. Schmidt), Ramanujan Journal, 1 (1997), 155-163.
  8. Riemann Surfaces Have Hall Rays at Each Cusp, (with Thomas A. Schmidt), Ill. J of Math, 41 (1997), 378-397.
  9. Dirichlet Series and Hecke Triangle Groups of Infinite Volume, (with Marvin Knopp), Acta Arithmetica, LXXVI.3 (1996), 227-244.
  10. Length Spectra of Hecke Triangle Surfaces, (with Thomas A. Schmidt), Mathematische Zeit., 220 (1995), 369-397.
  11. On Infinite Volume Hecke Triangle Surfaces, (with Thomas A. Schmidt), Compositio Math., 95 (1995), 247-262.
  12. The Riemann Surface, Acta Arithmetica, 63 (1993), 255-266.
  13. Continued Fractions, Congruence Subgroups, and the Hecke Triangle Groups, in ``Number Theory with an Emphasis on the Markoff Spectrum'', A. Pollington and W. Moran, eds., Lecture Notes in Pure and Applied Mathematics 147 (1993), Marcel Dekker, New York. (pp. 239-254)
  14. ``A Tribute to Emil Grosswald", Marvin Knopp and Mark Sheingorn, eds., Cont. Math. 143 (1993), AMS, Providence, RI.
  15. Low Height Hecke Triangle Group Geodesics, in ``A Tribute to Emil Grosswald", Marvin Knopp and Mark Sheingorn, eds., Cont. Math. 143 (1993), AMS, Providence, RI. (pp. 545-560)
  16. In Appreciation of Emil Grosswald, (with David Bressoud and Marvin Knopp), in ``A Tribute to Emil Grosswald", Marvin Knopp and Mark Sheingorn, eds., Cont. Math. 143 (1993), AMS, Providence, RI. (pp. 1-8)
  17. Effective Lower Bounds for the Norm of the Poincaré -Operator, TAMS, 325 (1991), 453-463.
  18. Hyperbolic Reflections on Pell's Equation, J. of Number Theory, 33 (1989), 267-285.
  19. Rational Solutions of and Simple Closed Geodesics on Fricke Surfaces, in ``Holomorphic Functions and Moduli I''; D. Drasin et al, eds.; MSRI Publ. 10; Springer-Verlag, New York, 1988. (pp. 229-236)
  20. Closed Geodesics on a Riemann Surface with Application to the Markov Spectrum, TAMS 295(1986), 635-647. (with A. Beardon and J. Lehner)
  21. Characterization of Simple Closed Geodesics on Fricke Surfaces, Duke Math. J. 52 (1985), 535-545.
  22. A Symbolic Dynamics for Geodesics on Punctured Riemann surfaces, Math. Ann. 268 (1984), 425-448. (with J. Lehner)
  23. Computing Self-intersections of Closed Geodesics on Finite-sheeted Covers of the Modular Surface, Math. Comp. 44 (1985), 233-240. (with J. Lehner)
  24. Simple Closed Geodesics on Arise from the Markov Spectrum, BAMS 11 (1984), 359-362. (with J. Lehner)
  25. Exponential Sums Connected with Ramanujan's -Function, Mathematika 29 (1982), 270-277. (with L.A. Parson)
  26. Trajectories on Riemann Surfaces, in ``Explicit Solutions of Quantum and Classical Models and Parallel Arithmetical Problems''; D.V. & G.V.Chudnovsky, eds.; Marcel Dekker, New York, 1984. (pp. 379-400.)
  27. Bounding the Norm of the Poincaré -Operator, Lecture Notes in Mathematics # 899, Springer-Verlag, New York, 1981, 422-441. (with L.A. Parson)
  28. Transitivity for the Modular Group, Proc. Cambridge Phil.Soc., 88 (1980), 409-423.
  29. Boundary Behavior of Automorphic Forms and Transitivity for the Modular Group, Ill. J. of Math., 24 (1980), 440-451.
  30. Characterization of Fuchsian Groups whose Integrable Forms are Bounded, Ann. of Math., 106 (1977), 239-258. (with D. Niebur)
  31. Fields with Large Kronecker Constant, J. of Number Theory, 9 (1977), 182-186. (with T. Callahan & M.Newman)
  32. Continuous Solution of a Homogeneous Functional Equation, Æquationes Math., 13 (1975), 47-59. (with M. Newman)
  33. Variations on Continuity, Math. Magazine, 47 (1974), 41-43. (with R. Bumcrot)
  34. Polynomial Approximation in the Bers spaces, Princeton Annals Surv. 2, 79 (1974), 58-67. (with T. Metzger)
  35. Poincare Series Bounded away from Zero in a Fundamental Region, Am. J. of Math., 95 (1973), 729-749.
  36. Characterizations of , NBS J. of Res., 77B (1973), 85-92.