On Lehmer's Problem
Preprint, 2026.
View PDFResearch Papers
A list of research publications by R. Thangadurai. You can search by author, title, journal, or year.
79
papers
An invertible matrix criterion for the linear independence of certain series
Preprint, 2026.
View PDFA Rational Shift analogue of the Corvaja-Zannier Theorem
Preprint, 2026.
View PDFAlgebraic independence of Certain Liouville type numbers
Preprint, 2026.
View PDFA non-automatic irrational number from the last non-zero digits of the lcm(1, 2, ..., n)
Preprint, 2026.
View PDFOn a finite version of a Problem of Polya
Preprint, 2026.
View PDFDistribution of Lehmer numbers modulo primes
Preprint, 2026.
View PDFOn a conjecture of P. Erdos
Preprint, 2025.
View PDFA transcendence criterion using patterns in the $b$-ary expansion of powers of real numbers
Preprint, 2025.
View PDFOn a conjecture of P. Erdos
Preprint, 2025.
View PDFPV number as a completely normal basis generator of finite abelian extensions or Dihedral extensions of number fields
Research in the Mathematical Sciences, 13(2), 2026, Paper no. 27. DOI: 10.1007/s40687-026-00616-z.
View PDFSurjectivity of Trace for relative extensions
M. R. Murty et al. (eds.), Lie Algebras and Number Theory, Springer Proc. Math. Stat., 544 (2026), 193-202.
View PDFAn effective version of the primitive element theorem
Bulletin of the Australian Mathematical Society, 113, 2026, 280-287.
View PDFA Note on Mahler's Theorem - II
Proceedings of the Indian Academy of Sciences (Math. Sci), 135, Paper 39, 2025.
View PDFLinear independence of special values of Jacobi-theta constant
Ramanujan J. 66 (2) (2025), paper number 35, 23 pp.
View PDFSophi Germin Prime p and the permutation of product of first p cycles
Quaestiones Mathematicae, (2024), 1-6.
View PDFSufficient conditions for a problem of Polya
Proceedings of the American Mathematical Society, 152(9), 2024, 3715-3730.
View PDFOn simulataneous approximation of algebraic numbers
Mathematika, 68, (2022) 1153-1175.
View PDFA necessary and sufficient condition for 2 to be a primitive root of 2p+1$
Math. Student, 89, (2020), no. 2-4, 171-176.
View PDFDistribution of residues modulo p using the Dirichlet's class number formula,
K. Chakraborty et al. (eds.), Class groups of number fields and related topics, Springer Proc. Math. Stat., (2020) 97-108.
View PDFA note on Gauss's theorem on primitive roots
The American Mathematical Monthly, 126(3), 2019, 252-254.
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