Marc Technau
Dr. Marc Technau
Institut für Analysis und Zahlentheorie
Kopernikusgasse 24/II
8010 Graz
Austria

Room: NT·02·018
Phone: +43 (316) 873 – 7623
Office hour: Wednesday, 11–12
Email:
PGP: B04B ADAE FD84 7BA4 6243 E51D 570C 09D2 81B8 4E19

Publications

  1. The least prime number in a Beatty sequence (with J. Steuding), J. Number Theory 169, 144–159 (2016), doi:10.1016/j.jnt.2016.05.022, (preprint: arXiv:1512.08382 [math.NT])
  2. A Loewner Equation for Infinitely Many Slits (with N. Technau), Comput. Methods Funct. Theory (2017) 17: 255, doi:10.1007/s40315-016-0179-6
  3. Emptiness Problems for Integer Circuits (with D. Barth, M. Beck, T. Dose, Ch. Glaßer and L. Michler),
  4. The maximal order of iterated multiplicative functions (with Ch. Elsholtz and N. Technau), submitted, (preprint: arXiv:1709.04799 [math.NT])
  5. Modular hyperbolas and Beatty sequences submitted, (preprint: arXiv:1808.00413 [math.NT])
  6. Kloosterman sums with twice-differentiable functions (with I. E. Shparlinski), submitted, (preprint: arXiv:1902.05989 [math.NT])

In preparation

  1. Generalised Beatty sets
  2. On the distribution of αp modulo one in imaginary quadratic number fields with class number one (with S. Baier)

Other

  1. On Beatty sets and some generalisations thereof doctoral dissertation (2018), Würzburg University Press, URN: urn:nbn:de:bvb:20-opus-163303

Talks

  1. On a result of F. P. Boca on the number of products of certain matrices with trace ≤ N Arithmetik an der A7, Würzburg, 30.01.2015
  2. Special values in Beatty sequences Arithmetik an der A7, Hildesheim, 15.01.2016
  3. The least prime number in a Beatty sequence Royal Holloway Number Theory Seminar, Egham (Surrey), 11.05.2016
  4. Iterating number-theoretic functions for fun and no profit whatsoever The Joint Über-Seminar, Würzburg, 19.05.2016
  5. The least prime number in a Beatty sequence Elementare und Analytische Zahlentheorie (ElAZ2016), Stobl am Wolfgangsee, 07.09.2016
  6. On the maximal order of some arithmetic functions The Sixth International Conference Analytic and Probabilistic Methods in Number Theory, Palanga, 16.09.2016
  7. Kloosterman sums with Beatty sequences Arithmetik an der A7, Würzburg, 22.–23.06.2017
  8. Generalised Beatty sets Oberseminar Zahlentheorie, Würzburg, 08.12.2017
  9. On the distribution of αp modulo one in imaginary quadratic number fields with class number one Zahlentheoretisches Kolloquium, Graz, 11.01.2019

Teaching

See TUGonline.

Links

Here is an excerpt from my doctoral ancestry as of August 2018:

Excerpt from my doctoral ancestry
(Click to enlarge!)