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math olympiad training
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Anne-Maria Ernvall-Hytönen
publications
List of publications

    Thesis

  1. On Short Exponential Sums Involving Fourier Coefficients of Holomorphic Cusp Forms (Dissertation Thesis), TUCS Dissertations No 101, 2008.

    Journal articles

  2. On the error term in the approximate functional equation for the exponential sums involving the Fourier coefficients of cusp forms. International Journal of Number Theory, volume 4, number 5, October 2008, 747-756.
  3. (with K. Karppinen) On short exponential sums involving Fourier coefficients of holomorphic cusp forms. International Mathematics Research Notices, volume 2008, 2008, article ID rnm147.
  4. A relation between Fourier coefficients of holomorphic cusp forms and exponential sums. Publications de l'Institut Mathematique (Beograd), volume 86(100), 2009.
  5. A note concerning certain exponential sums related to cusp forms. Siauliai Mathematical Seminar 4(12), 2009 (Special issue celebrating the 60th birthday of Professor Antanas Laurincikas).
  6. On certain exponential sums related to GL(3) cusp forms. Comptes rendus Mathematique Acad. Sci. Paris, Ser. I 348 (2010) 5--8.
  7. (with A. Lepistö) Bounds and computational results for exponential sums related to cusp forms, Acta Mathematica Universitatis Ostraviensis 17 (2009), 81--90.
  8. On the mean square of short exponential sums related to cusp forms. To appear in Functiones et Approximatio.
  9. (with K. Matomäki, P. Haukkanen and J. Merikoski) Formulas for the number of gridlines. To appear in Monatshefte für Mathematik.
  10. An improvement on the upper bound of exponential sums of holomorphic cusp forms. (submitted)

    Articles in Proceedings

  11. (with K. Nyberg) On Server-Aided Computation for RSA Protocols with Private Key Splitting. In the proceedings of the Nordsec2003 -conference, 2003.
  12. Some topics concerning the RSA system with key splitting. In the proceedings of Algorithmic Number Theory 2007, Turku, 45--49.
  13. On problems related to Fourier series of holomorphic cusp forms. In the proceedings of 5th Annual International Symposium on Voronoi Diagrams in Science and Engineering and 4th International Kyiv Conference on Analytic Number Theory and Spatial Tessellations: Voronoi's impact on modern science, book 4, volume 1, 2008, 18--26.

    Textbooks

  14. (with Kerkko Luosto and Tapio Pokela) Pyramidi 11: Lukuteoria ja logiikka (high school textbook). Tammi, 2006, and its Swedish translation (with Kristian Smedlund in addition to the original authors) Ellips 11: Talteori och logik. Schildt, 2007.

    Edited proceedings

  15. (with M. Jutila, J. Karhumäki, and A. Lepistö) Proceedings of Conference on Algorithmic Number Theory 2007, TUCS General publication 46, 2007.
  16. (with C. Hollanti) Proceedings of the 3rd Nordic EWM Summer School for PhD Students in Mathematics, TUCS General publication 53, 2009.

    Miscellaneous

  17. Täydellisyyttä etsimässä (Looking for perfectness, text on perfect numbers for general audience). Submitted.
  18. Tekijäfunktio ja muita lukuteoreettisia otuksia (Divisor function and other number theoretical functions, in Finnish). Solmu 2010, no. 2, 24-26.
  19. Kirkosta Koreaan ja kristilliselle opistolle (text on math competitions from a personal point of view). Solmu 2009, no. 1, 30-32.
  20. A poster on exponential sums related to holomorphic cusp forms. 3rd Nordic EWM Summer School for PhD Students in Mathematics, 2009.
  21. Published solutions to problems appeared earlier in American Mathematical Monthly:
    • (with T. Ernvall) A Special Prime, vol. 115 (2008), 666.
    • (with R. Ernvall) Groups of Divisors, vol. 110 (2003), 442-443
    • A Summation Inequality, vol. 108 (2001), 777
  22. (with T. Hytönen) Kokonaisuus on pienempi kuin osiensa summa - arvioita sarjoille ja integraaleille, Arkhimedes 2006, no. 6, 22-25.
  23. Lukuteorian törmäyskurssi (Crash course in number theory, material for Finnish Mathematics Olympiad Training).