Recent Publications Starting in 2020
Preprints
2025
75. Siegfred Alan C. Baluyot, Daniel Alan Goldston, Ade Irma Suriajaya, and Caroline L. Turnage-Butterbaugh, The Alternative Hypothesis for Zeros of the Riemann Zeta-Function, preprint in arXiv:2508.10857 [math.NT].
74. Daniel Alan Goldston, Junghun Lee, Jordan Schettler, and Ade Irma Suriajaya, Pair Correlation Conjecture for the zeros of the Riemann zeta-function II: The Alternative Hypothesis, preprint in arXiv:2507.06823 [math.NT].
73. Daniel Alan Goldston, Junghun Lee, Jordan Schettler, and Ade Irma Suriajaya, Pair Correlation Conjecture for the Zeros of the Riemann Zeta-function I: Simple and Critical Zeros, preprint in arXiv:2503.15449 [math.NT].
72. Siegfred Alan C. Baluyot, Daniel Alan Goldston, Ade Irma Suriajaya, and Caroline L. Turnage-Butterbaugh, Pair Correlation of Zeros of the Riemann Zeta Function I: Proportions of Simple Zeros and Critical Zeros, preprint in arXiv:2501.14545 [math.NT].
Publications
2024
71. Daniel A. Goldston, Apoorva Panidapu, and Jordan Schettler, Explicit calculations for Sono's multidimensional sieve of E_2-numbers, Math. of Comp. 93 No. 350 Nov. (2024), 2943–2958.
70. Siegfred Alan C. Baluyot, Daniel Alan Goldston, Ade Irma Suriajaya, and Caroline L. Turnage Butterbaugh, An Unconditional Montgomery Theorem for Pair Correlation of Zeros of the Riemann Zeta Function, Acta Arith. 214 (2024), 357–376, doi: 10.4064/aa230612-20-3.
2023
69. Hung M. Bui, Daniel A. Goldston, Micah B. Milinovich, and Hugh L. Montgomery, Small gaps and small spacings between zeta zeros, Acta Arith. 210 (2023), 133–153.
68. Daniel A. Goldston and Ade Irma Suriajaya, On a smoothed average of the number of Goldbach representations, Number Theory in Memory of Eduard Wirsing (2023), H. Maier et al. (eds.), Springer Nature Switzerland AG, 145–156, doi: 10.1007/978-3-031-31617-3_10.
67. Daniel A. Goldston, Timothy S. Trudgian, and Caroline L.Turnage-Butterbaugh, On the Montgomery-Odlyzko method regarding gaps between zeros of the zeta-function, J. Math. Anal. Appl. 527 (2023), no. 2, Paper No. 127548, 7 pp.
66. D. A. Goldston and Ade Irma Suriajaya, On an Average Goldbach Representation Formula of Fujii, Nagoya Math. J. 250 (2023), 511–532, doi: 10.1017/nmj.2022.44.
2022
65. Daniel A. Goldston, Apoorva Panidapu, and Jordan Schettler, Small gaps between three almost primes and almost prime powers, Acta
Arithmetica 203 (2022), 1–18.
64. D. A. Goldston and Ade Irma Suriajaya, The Prime Number Theorem and Pair Correlation of Zeros of the Riemann Zeta-Function, Res. Number Theory 8 (2022), article number: 71, doi: 10.1007/s40993-022-00371-4 (SharedIt).
63. John B. Friedlander, Daniel A. Goldston, Henryk Iwaniec and Ade Irma Suriajaya, Exceptional zeros and the Goldbach problem, J. Number Theory 233 (2022), 78–86, doi: 10.1016/j.jnt.2021.06.004.
2021
62. D. A. Goldston and Ade Irma Suriajaya, A singular series average and the zeros of the Riemann zeta-function, Acta Arith. 200 (2021), 71–90, doi: 10.4064/aa200821-24-2.
61. D. A. Goldston and Ade Irma Suriajaya, The error term in the Cesàro mean of the prime pair singular series, J. Number Theory 227 (2021), 144–157, doi: 10.1016/j.jnt.2021.03.004.
60. Daniel A. Goldston, Sidney W. Graham, Apoorva Panidapu, Janos Pintz, Jordan Schettler, and Cem Y. Yıldırım, Small gaps between almost primes, the parity problem, and some conjectures of Erdős on consecutive integers II, J. Number Theory 221 (2021), 222–231.
2020
59. Daniel A. Goldston, S. Funkhouser, S. Sengupta, and D. J. Sengupta, Prime difference champions, Springer Optim. Appl., 165 (2020), 207–236.