Adrian Dudek

Adrian Dudek

Mathematician

Publications

  1. (with H. Bohl) On Counting Constructions and Isomorphism Classes of I-Graphs (submitted)

  2. (with D. Johnston) Almost Primes Between all Squares J. Number Theory (to appear)

  3. (with M. Cully-Hugill) An Explicit Mean-Value Estimate for the Prime Number Theorem in Intervals J. Aust. Math. Soc. (2024)

  4. (with M. Cully-Hugill) A Conditional Explicit Result for the Prime Number Theorem in Short Intervals Research in Number Theory (2023)

  5. (with L. Pankowski and V. Scharaschkin) Note on the number of divisors of reducible quadratic polynomials Bull. Aust. Math. Soc., 99 (2019)

  6. (with L. Grenie and G. Molteni) Short Intervals for Primes in AP on GRH Math. Comp., 15 (2019)

  7. Explicit Estimates for Primes Between Cubes Funct. Approx. Comment. Math., 55 (2016)

  8. On the Success of Mishandling Euclid’s Lemma Amer. Math. Monthly, 123 (2016)

  9. On the Spectrum of the Generalised Petersen Graphs Graphs and Combin., 32 (2016)

  10. (with D. Platt) On the Sum of the Square of a Prime and a Square-free Number LMS. J. Comput. Math., 19 (2016)

  11. On the Number of Divisors of $n^2-1$ Bull. Aust. Math. Soc., 93 (2016)

  12. (with L. Grenie and G. Molteni) Primes in Explicit Short Intervals on RH Int. J. Number Theory, 12 (2016)

  13. Corrigendum to “Almost-Ramanujan Graphs and Prime Gaps” European J. Combin., 51 (2016)

  14. On the Sum of a Prime and a Square-free Number Ramanujan J., 42 (2017)

  15. (with D. Platt) On Solving a Curious Inequality of Ramanujan Exp. Math., 24 (2015)

  16. An Explicit Result for $|L(1+it, \chi)|$ Funct. Approx. Comment. Math., 53 (2015)

  17. On the Riemann Hypothesis and the Difference Between Primes Int. J. Number Theory, 11 (2015)

  18. Almost-Ramanujan Graphs and Prime Gaps European J. Combin., 2015 (43) 204-209, 2009