Dr Aleksander Simonic

Books

Book Chapters

Edited Books

Journal Articles

Journal articles | 2023

2023, 'Atkinson's formula for the mean square of ζ(s) with an explicit error term', Journal of Number Theory, 244, pp. 111 - 168, http://dx.doi.org/10.1016/j.jnt.2022.09.010

Journal articles | 2023

2023, 'Estimates for L-functions in the Critical Strip Under GRH with Effective Applications', Mediterranean Journal of Mathematics, 20, http://dx.doi.org/10.1007/s00009-023-02289-2

Journal articles | 2022

2022, 'EXPLICIT ESTIMATES FOR zeta(S) IN THE CRITICAL STRIP UNDER THE RIEMANN HYPOTHESIS', QUARTERLY JOURNAL OF MATHEMATICS, 73, pp. 1055 - 1087, http://dx.doi.org/10.1093/qmath/haac007

Journal articles | 2022

2022, 'On explicit estimates for S(t), S1(t), and ζ(1/2+it) under the Riemann Hypothesis', Journal of Number Theory, 231, pp. 464 - 491, http://dx.doi.org/10.1016/j.jnt.2021.05.014

Journal articles | 2022

2022, 'SOME EXPLICIT AND UNCONDITIONAL RESULTS ON GAPS BETWEEN ZEROES OF THE RIEMANN ZETA-FUNCTION', Transactions of the American Mathematical Society, 375, pp. 3239 - 3265, http://dx.doi.org/10.1090/tran/8571

Journal articles | 2021

2021, 'Atkinson's formula for the mean square of $ζ(s)$ with an explicit error term', J. Number Theory 244 (2023), 111-168, http://dx.doi.org/10.1016/j.jnt.2022.09.010

Journal articles | 2021

2021, 'Quasimodularity of the k th residual cranks', International Journal of Number Theory, 17, pp. 1 - 13, http://dx.doi.org/10.1142/S1793042121500019

Journal articles | 2020

Simonič A, 2020, 'Explicit zero density estimate for the Riemann zeta-function near the critical line', Journal of Mathematical Analysis and Applications, 491, pp. 124303 - 124303, http://dx.doi.org/10.1016/j.jmaa.2020.124303

Journal articles | 2020

2020, 'A note on a straight gravity tunnel through a rotating body', American Journal of Physics, 88, pp. 499 - 502, http://dx.doi.org/10.1119/10.0001181

Journal articles | 2019

2019, 'Lexell’s theorem via stereographic projection', Beiträge zur Algebra und Geometrie / Contributions to Algebra and Geometry, 60, pp. 459 - 463, http://dx.doi.org/10.1007/s13366-018-0426-2

Journal articles | 2019

2019, 'On Littlewood's proof of the prime number theorem', Bulletin of the Australian Mathematical Society, 101, pp. 226 - 232, http://dx.doi.org/10.1017/S0004972719000881

Journal articles | 2019

2019, 'Platonic configurations of points and lines', , http://arxiv.org/abs/1907.08751v1

Journal articles | 2018

2018, 'Calculus style proof of Poncelet's theorem for two ellipses', Elemente der Mathematik, 73, pp. 145 - 150, http://dx.doi.org/10.4171/EM/367

Journal articles | 2018

2018, 'Lehmer pairs and derivatives of Hardy's Z-function', Journal of Number Theory, 184, pp. 451 - 460, http://dx.doi.org/10.1016/j.jnt.2017.08.030

Journal articles | 2015

2015, 'The Ahlfors lemma and Picard's theorems', Rose-Hulman Undergraduate Math Journal, 16, pp. 113 - 136

Working Papers

Other

Preprints | 2022

2022, Conditional estimates for the logarithmic derivative of Dirichlet $L$-functions, , http://arxiv.org/abs/2206.00819v1

Preprints | 2022

2022, Estimates for $L$-functions in the critical strip under GRH with effective applications, , http://arxiv.org/abs/2201.10771v1

Preprints | 2021

2021, Explicit estimates for $ζ(s)$ in the critical strip under the Riemann Hypothesis, , http://arxiv.org/abs/2109.11744v2

Preprints | 2020

2020, Quasimodularity of the $k$th Residual Cranks, , http://dx.doi.org/10.48550/arxiv.2005.01919

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