Adrian Dudek

Adrian Dudek

Mathematician

Publications

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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