Publications:
A note on Dedekind zeta values at 1/2, International Journal of Number Theory, 2021.
https://doi.org/10.1142/S1793042122500658 .Added a letter from Professor J.-P. Serre in verbatim. arXiv link.
Around a question of Baker ( with P. Rath ), Some contributions to number theory and beyond: Proceedings of the centenary symposium for M V Subbarao, The Fields Institute (to appear).
https://arxiv.org/abs/2212.00358On an extension of a question of Baker (with S. Gun ), International Journal of Number Theory, 2022.
doi.org/10.1142/S1793042123500173On linear independence of Dirichlet L values (with S. Gun and P. Philippon ), Journal of Number Theory, 2023.
https://doi.org/10.1016/j.jnt.2022.09.016Transcendence of generalized Euler-Kronecker constants ( with R. Lunia ), Bulletin of the Australian Mathematical Society, 2023.
https://doi.org/10.1017/S0004972723000631Explicit upper bounds on average of Euler-Kronecker constants of narrow ray class fields ( with R. Lunia and J. Sivaraman ), Research in Number Theory, 2023.
https://doi.org/10.1007/s40993-023-00472-8The Kummer ratio of the relative class number for prime cyclotomic fields (with A. Languasco, P. Moree, S. S. Eddin, and A. Sedunova), Journal of Mathematical Analysis and Applications, 2024.
https://doi.org/10.1016/j.jmaa.2024.128368The Brauer-Siegel ratio for prime cyclotomic fields (with A. Languasco and P. Moree), Pacific Journal of Mathematics, 2025. https://doi.org/10.2140/pjm.2025.334.167
Relative class numbers and Euler-Kronecker constants of maximal real cyclotomic subfields (with A. Languasco, P. Moree, S. S. Eddin, and A. Sedunova), Mathematics of Computation, 2025.
https://doi.org/10.1090/mcom/4134Pair Correlation of zeros of Dirichlet L-Functions: A possible path towards the conjectures of Chowla, Elliott-Halberstam and Montgomery (with A. Languasco and P. Moree), Mathematische Annalen (to appear).
www.arxiv.org/abs/2411.19762