Recent Publications Since 2020: Under construction.
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
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
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.
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
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.