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2024 Journal Article An explicit mean-value estimate for the prime number theorem in intervalCully-Hugill, Michaela and Dudek, Adrian W. (2024). An explicit mean-value estimate for the prime number theorem in interval. Journal of the Australian Mathematical Society, 117 (1), 1-15. doi: 10.1017/S1446788723000113 |
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2022 Journal Article A conditional explicit result for the prime number theorem in short intervalsCully-Hugill, Michaela and Dudek, Adrian W. (2022). A conditional explicit result for the prime number theorem in short intervals. Research in Number Theory, 8 (3) 61. doi: 10.1007/s40993-022-00358-1 |
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2019 Journal Article Explicit short intervals for primes in arithmetic progressions on GRHDudek, Adrian W., Grenie, Loic and Molteni, Giuseppe (2019). Explicit short intervals for primes in arithmetic progressions on GRH. International Journal of Number Theory, 15 (4), 825-862. doi: 10.1142/s1793042119500441 |
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2019 Journal Article Note on the number of divisors of reducible quadratic polynomialsDudek, Adrian W., Pankowski, Lukasz and Scharaschkin, Victor (2019). Note on the number of divisors of reducible quadratic polynomials. Bulletin of the Australian Mathematical Society, 99 (1), 1-9. doi: 10.1017/S0004972718000734 |
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2017 Journal Article On the sum of a prime and a square-free numberDudek, Adrian W. (2017). On the sum of a prime and a square-free number. Ramanujan Journal, 42 (1), 233-240. doi: 10.1007/s11139-015-9736-2 |
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2016 Journal Article An explicit result for primes between cubesDudek, Adrian W. (2016). An explicit result for primes between cubes. Functiones Et Approximatio Commentarii Mathematici, 55 (2), 177-197. doi: 10.7169/facm/2016.55.2.3 |
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2016 Journal Article On the Success of Mishandling Euclid's LemmaDudek, Adrian W. (2016). On the Success of Mishandling Euclid's Lemma. American Mathematical Monthly, 123 (9), 924-927. doi: 10.4169/amer.math.monthly.123.9.924 |
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2016 Journal Article On the Spectrum of the Generalised Petersen GraphsDudek, Adrian W. (2016). On the Spectrum of the Generalised Petersen Graphs. Graphs and Combinatorics, 32 (5), 1843-1850. doi: 10.1007/s00373-016-1676-0 |
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2016 Journal Article Primes in explicit short intervals on RHDudek, Adrian W., Grenie, Loic and Molteni, Giuseppe (2016). Primes in explicit short intervals on RH. International Journal of Number Theory, 12 (5), 1391-1407. doi: 10.1142/s1793042116500858 |
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2016 Journal Article On the number of divisors of n2−1Dudek, Adrian W. (2016). On the number of divisors of n2−1. Bulletin of the Australian Mathematical Society, 93 (2), 194-198. doi: 10.1017/s0004972715001136 |
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2016 Journal Article Almost-Ramanujan graphs and prime gaps (vol 43, pg 204, 2015)Dudek, Adrian W. (2016). Almost-Ramanujan graphs and prime gaps (vol 43, pg 204, 2015). European Journal of Combinatorics, 51, 533-534. doi: 10.1016/j.ejc.2015.06.002 |
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2016 Journal Article On the sum of the square of a prime and a square-free numberDudek, Adrian W. and Platt, David J. (2016). On the sum of the square of a prime and a square-free number. LMS Journal of Computation and Mathematics, 19 (1), 16-24. doi: 10.1112/s1461157015000297 |
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2015 Journal Article An explicit result for |L(1+it,χ)|Dudek, Adrian W. (2015). An explicit result for |L(1+it,χ)|. Functiones Et Approximatio Commentarii Mathematici, 53 (1), 23-29. doi: 10.7169/facm/2015.53.1.2 |
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2015 Journal Article On the Riemann hypothesis and the difference between primesDudek, Adrian W. (2015). On the Riemann hypothesis and the difference between primes. International Journal of Number Theory, 11 (3), 771-778. doi: 10.1142/s1793042115500426 |
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2015 Journal Article On Solving a Curious Inequality of RamanujanDudek, Adrian W. and Platt, David J. (2015). On Solving a Curious Inequality of Ramanujan. Experimental Mathematics, 24 (3), 289-294. doi: 10.1080/10586458.2014.990118 |
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2015 Journal Article Almost-Ramanujan graphs and prime gapsDudek, Adrian W. (2015). Almost-Ramanujan graphs and prime gaps. European Journal of Combinatorics, 43, 204-209. doi: 10.1016/j.ejc.2014.09.001 |
