Goran Djanković

Associate professor

Faculty of Mathematics, University of Belgrade

Studentski trg 16, p. p. 550
11 000 Belgrade, Serbia
e-mail: goran[dot]djankovic / at / matf dot bg dot ac dot rs

Research interests: Number theory

in particular: L-functions, automorphic forms and arithmetic quantum chaos

Papers and preprints

• (With R. Khan) The fourth moment of truncated Eisenstein series, arXiv
• (With D. Đokić) The sixth power moment of Dirichlet L-functions over rational function fields, Journal of Mathematical Analysis and Applications, Volume 514, Issue 1, October 2022, 126296, journal
• (With D. Đokić and N. Lelas) The triple reciprocity law for the twisted second moments of Dirichlet L-functions over function fields, Proceedings of the American Mathematical Society, Volume 149, Number 7, July 2021, Pages 2851-2860, journal
• (With D. Đokić) The mixed second moment of quadratic Dirichlet L-functions over function fields, The Rocky Mountain Journal of Mathematics, 51(6): 2003-2017 (December 2021) journal
• (With R. Khan) On the Random Wave Conjecture for Eisenstein series, International Mathematics Research Notices, rny266, Volume 2020, Issue 23, November 2020, Pages 9694-9716 arXiv journal
• The least common multiple of random sets in polynomial rings over finite fields, The Ramanujan Journal 55, pages13 - 23 (2021), journal
• The reciprocity law for the twisted second moment of Dirichlet L-functions over rational function fields, Bulletin of the Australian Mathematical Society, Vol. 98, Issue 3 (2018), pp. 383-388 journal
• (With R. Khan) A conjecture for the regularized fourth moment of Eisenstein series, Journal of Number Theory, vol. 182 (2018) pp. 236-257, arXiv journal
• Power-moments of SL_3(Z) Kloosterman sums, Czechoslovak Mathematical Journal, vol. 63 (2013), issue 3, pp. 833-845 journal
• Euler-Hadamard products and power moments of symmetric square L-functions, International Journal of Number Theory, Vol. 9, No. 3 (2013) 621-639 journal
• A larger GL(2) large sieve in the level aspect, Central European Journal of Mathematics, 10(2) (2012) , 748 - 760 journal or link
• On some exact reciprocity formulas for twisted second moments of Dirichlet L-functions, Bull. Korean Math. Soc. 49 (2012), No. 5, pp. 1007 - 1014 link
• The sixth moment of the family of $\Gamma_1(q)$-automorphic L-functions, Archiv der Mathematik, 97 (2011), 535 - 547 link
• Nonvanishing of the family of $\Gamma_1(q)$-automorphic L-functions at the central point, International Journal of Number Theory, Vol. 7, No. 6 (2011) 1423 - 1440 link
• The Erdos-Kac theorem for curvatures in integral Apollonian circle packings, Publications de l'institut mathematique, tome 89(103) (2011), 11 - 17 link

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Teaching (Serbian)