Research
"Be wise! Generalize!
-Piccayune Sentinel
"Be wise! Generalize!
-Piccayune Sentinel
I am broadly interested in number theory. In particular, my research revolves around the ideal class groups of algebraic number fields, divisibility and indivisibility of class numbers, Pólya groups, number fields with large Pólya groups, integer-valued polynomials and arithmetic of elliptic curves. The following are the list of publications and preprints.
Publications
Divisibility property of sum of digits of n and n + 1, The Compass (To appear).
Bi-quadratic Pólya fields with five distinct ramified primes, (with D. Chakraborty and Md. I. Islam), Res. Number Theory, 11 (2025), Paper No. 13.
Large Pólya groups in simplest cubic fields and consecutive bi-qaudratic fields, (with D. Chakraborty and Md. I. Islam), Int. J. Number Theory, 20 (2024), 2277-2286.
A brief survey of recent results on Pólya groups, (with A. Saikia), Class Groups of Number Fields and Related Topics, Springer Nature (2024), 181-195.
Non-Pólya bi-quadratic fields with an Euclidean ideal class, (with A. Saikia), J. Number Theory, 256 (2024), 1-7.
Structure of 2-class groups in the Z2 -extensions of certain real quadratic fields, (with H Laxmi and A. Saikia), Res. Number Theory, 9 (2023), Paper No. 74.
On the p-rationality of consecutive quadratic fields, (with H Laxmi and A. Saikia), J. Number Theory, 248 (2023), 14-26.
On the p-ranks of the ideal class groups of imaginary quadratic fields, (with A. Saikia), Ramanujan J., 62 (2023), 571-581.
On denseness of certain direction and generalized direction sets, (with D. Antony and R. Barman), Integers, 22 (2022), Paper No. A88, 9 pp.
On a generalization of Menon-Sury identity to number fields involving a Dirichlet Character, (with S. Sarkar), Ramanujan J., 59 (2022), 979-992.
Totally real bi-quadratic fields with large Pólya groups, (with A. Saikia), Res. Number Theory, 8 (2022), Paper No. 30.
Simultaneous indivisibility of class numbers of pairs of real quadratic fields, (with A. Saikia), Ramanujan J., 58 (2022), 905-911.
On a question of f -exunits in Z/nZ, (with Anand and B. Roy), Arch. Math. (Basel), 116 (2021), 403-409.
On the simultaneous 3-divisibility of class numbers of triples of imaginary quadratic fields, (with M. Subramani), Acta Arithmetica, 197 (2021), 105-110.
On sums of polynomial-type exceptional units in Z/nZ, (with Anand and B. Roy), Arch. Math. (Basel), 114 (2020), 271-283.
Distribution of residues modulo p using the Dirichlet’s class number formula, (with B. Roy, S. Sarkar and R. Thangadurai), Class Groups of Number Fields and Related Topics, Springer Nature (2020), 97-107.
A short note on the divisibility of class numbers of real quadratic fields, J. Ramanujan Math. Soc., 34 (2019), 389-392.
Mean values and moments of arithmetic functions over number fields, (with P. Darbar), Res. Number Theory, 5 (2019), Art. 23, 15 pp.
Biquadratic fields having a non-principal Euclidean ideal class, (with M. Subramani), J. Number Theory, 204 (2019), 99-112.
Quadratic nonresidues and nonprimitive roots satisfying a coprimality condition, (with B. Roy, S. Sarkar and R. Thangadurai), Bull. Aust. Math. Soc., 99 (2019), 177-183.
On fractionally dense sets, (with B. Roy and S. Sarkar), Rocky Mountain J. Math., 49 (2019), 743-760.
Set equidistribution of subsets of (Z/nZ)* , (with V. Kumar and R. Thangadurai) Hardy-Ramanujan Journal, 41 (2018), 104-112.
A problem related to prime powers, Math. Student, 87 (2018), 135-136.
Preprints
Representation of similar triangles in R^{3}, (with S. S. Chattopadhyay), Communicated.
Some bi-quadratic Pólya fields and large Pólya groups of compositum of simplest cubic and quintic fields, (with D. Chakraborty and Md. I. Islam).
On the Mordell-Weil rank and 2-Selmer group of a family of elliptic curves, (with D. Chakraborty and P. Patel).
Researchgate profile (https://www.researchgate.net/profile/Jaitra-Chattopadhyay-2?ev=hdr_xprf)
ORCID Id:- 0000-0002-3913-6277
Scopus profile (https://www.scopus.com/authid/detail.uri?authorId=57204660677)
Google Scholar profile (https://scholar.google.com/citations?user=KPs7vcgAAAAJ&hl=en)