Preprints
Conditional estimates for L-functions in the Selberg class (with N. Palojärvi), preprint (2022).
Research Papers
Conditional estimates for the logarithmic derivative of Dirichlet L-functions (with A. Chirre and M. V. Hagen), Indag. Math. (N.S.) 35 (2024), no. 1, 14–27. MR
Estimates for L-functions in the critical strip under GRH with effective applications, Mediterr. J. Math. 20 (2023), no. 2, paper no. 87, 24 pp. MR
Atkinson's formula for the mean square of ζ(s) with an explicit error term (with V. V. Starichkova), J. Number Theory 244 (2023), 111–168. MR
Explicit estimates for ζ(s) in the critical strip under the Riemann Hypothesis, Q. J. Math. 73 (2022), no. 3, 1055–1087. MR
Some explicit and unconditional results on gaps between zeroes of the Riemann zeta-function (with T. S. Trudgian and C. L. Turnage-Butterbaugh), Trans. Amer. Math. Soc. 375 (2022), no. 5, 3239–3265. MR
On explicit estimates for S(t), S1(t), and ζ(1/2 + it) under the Riemann Hypothesis, J. Number Theory 231 (2022), 464–491. MR
Quasimodularity of the kth residual cranks (with T. Morrill), Int. J. Number Theory 17 (2021), no. 1, 1–13. MR
Explicit zero density estimate for the Riemann zeta-function near the critical line, J. Math. Anal. Appl. 491 (2020), no. 1, 124303, 41 pp. MR
A note on a straight gravity tunnel through a rotating body, Am. J. Phys. 88 (2020), no. 6, 499–502.
On Littlewood's proof of the prime number theorem, Bull. Aust. Math. Soc. 101 (2020), no. 2, 226–232. MR
Lexell's theorem via stereographic projection, Beitr. Algebra Geom. 60 (2019), no. 3, 459–463. MR
Calculus style proof of Poncelet's theorem for two ellipses, Elem. Math. 73 (2018), no. 4, 145–150. MR
Lehmer pairs and derivatives of Hardy's Z-function, J. Number Theory 184 (2018), 451–460. MR
On a problem concerning two conics, Crux Mathematicorum 38 (2012), no. 9, 372–377.
Expository Papers
The Ahlfors lemma and Picard's theorems, Rose-Hulman Undergrad. Math J. 16 (2015), no. 2, 114–136. MR
Professional Papers
Marjan in oksitanski križ, Presek 49 (2021/2022), št. 1, 5–7.
O preureditvah vrst s kompleksnimi členi, Obzornik Mat. Fiz. 67 (2020), št. 5, 161–176. MR
Srinivasa Aiyangar Ramanujan (1887-1920) - 2. del (z M. Strnad), Mat. šol. 25 (2019), št. 2, 51–61.
Bertrandov postulat, Obzornik Mat. Fiz. 66 (2019), št. 1, 11–21. MR
Srinivasa Aiyangar Ramanujan (1887-1920) - 1. del (z M. Strnad), Mat. šol. 25 (2019), št. 1, 49–58.
Ramanujanova kvadratura kroga (z M. Strnad), Presek 46 (2018/2019), št. 6, 8–12.
Trikotnika v trikotniku (z J. Kovičem), Presek 46 (2018/2019), št. 3, 4–7.
Рамануђанов доказ Бертрановог постулата, Настава математике LXIII (2018), 3-4, 70–75.
Riemannove ničle in praštevila, Obzornik Mat. Fiz. 64 (2017), št. 6, 201–215. MR
Elementary approach to the Hartogs extension theorem, Matrika 3:4 (2016), št. 1, 1–12.
Pozabljena umetnost sferne trigonometrije, Presek 43 (2015/2016), št. 4, 19–25.
O neki zvezi med Riemannovo funkcijo zeta in praštevili, Obzornik Mat. Fiz. 61 (2014), št. 6, 201–212. MR
Baselski problem, Obzornik Mat. Fiz. 58 (2011), št. 1, 1–11. MR
Tarok, verjetnost in upanje (z D. Širajem), Presek 37 (2009/2010), št. 4, 4–6.
Kotaljenje krožnice, Presek 37 (2009/2010), št. 2, 4–7.
Independent Publications
New effective results in the theory of the Riemann zeta-function, PhD Thesis, School of Science, The University of New South Wales (Canberra), Canberra, 2022. Extended abstract published in Bull. Aust. Math. Soc. (2023). DOI
Greenov izrek o hiperravninah v kompleksnem projektivnem prostoru (Slovenian; Green's theorem on hyperplanes in complex projective space), magistrsko delo, Fakulteta za matematiko in fiziko, Univerza v Ljubljani, Ljubljana, 2018.
Kobayashijeva in Brodyjeva hiperboličnost kompleksnih mnogoterosti (Slovenian; The Kobayashi and the Brody hyperbolicity of complex manifolds), delo diplomskega seminarja, Fakulteta za matematiko in fiziko, Univerza v Ljubljani, Ljubljana, 2015.
Hiperboličnost komplementa unije hiperravnin v kompleksnem projektivnem prostoru (Slovenian; Hyperbolicity of complements of hyperplane arrangements in complex projective space), raziskovalno delo, Fakulteta za matematiko in fiziko, Univerza v Ljubljani, Ljubljana, 2014.
Matematika starih civilizacij, Gimnazija Ledina, Ljubljana, 2006.
Book Reviews and Problems
J. Kovič, A. Simonič, Primality testing for beginners (L. Rempe-Gillen, R. Waldecker), Obzornik Mat. Fiz. 67 (2020), št. 5, 197–200.
Naloga, Presek 47 (2019/2020), št. 1, 10.
Prime numbers and the Riemann hypothesis (B. Mazur, W. Stein), Obzornik Mat. Fiz. 63 (2016), št. 5, 197–199.
Other Writings
R. Gregorič, N. Rugelj, A. Smerdu, A. Simonič, Bernoullijevi polinomi, 6. Matematično raziskovalno srečanje, Ribčev Laz, 2011.
R. Gregorič, K. Klobas, V. Topolovec, A. Simonič, Riemannova zeta funkcija in Eulerjev produkt, 5. Matematično raziskovalno srečanje, Ribčev Laz, 2010.
K. Klobas, M. Leonardis, A. Simonič, G. Zadnik, Eulerjeva karakteristika torusa, 4. Matematično raziskovalno srečanje, Koper, 2009.
D. Kraljič, N. Rosenstein, M. Aleksandrov, A. Simonič, G. Zadnik, Inverzija in Möbiusove transformacije, 3. Matematično raziskovalno srečanje, Koper, 2008.
Zlati rez v matematiki in njegova pojavnost, Gimnazija Ledina, Ljubljana, 2007.
Miscellaneous
B. Riemann, O številu praštevil, manjših od dane količine (prevod v slovenščino), 2016.
Glasbena šola Grosuplje (zvočni posnetek): 1974–2004: 30 let.
Šolski ptički, Grosupeljski Odmevi 23(6/7) (1998), 28.