Zobrazeno 1 - 10
of 42
pro vyhledávání: '"Anupam Saikia"'
Publikováno v:
Research in Number Theory. 8
Given any positive integer n, it is well known that there always exist triangles with rational sides a, b and c such that the area of the triangle is n. Assuming finiteness of the Shafarevich-Tate group, we first construct a family of infinitely many
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::a7e2e326b64feb11bc30e0aa5caeac6d
https://doi.org/10.1007/s40993-022-00411-z
https://doi.org/10.1007/s40993-022-00411-z
Autor:
Jaitra Chattopadhyay, Anupam Saikia
Publikováno v:
The Ramanujan Journal.
For a prime number $p \geq 5$, we explicitly construct a family of imaginary quadratic fields $K$ with ideal class groups $Cl_{K}$ having $p$-rank ${\rm{rk}_{p}(Cl_{K})}$ at least $2$. We also quantitatively prove, under the assumption of the $abc$-c
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::240e0b77dd3d710e4a74f36857881fed
https://doi.org/10.1007/s11139-022-00667-0
https://doi.org/10.1007/s11139-022-00667-0
Autor:
Shamik Das, Anupam Saikia
Publikováno v:
Research in Number Theory. 8
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::f8c3c72ecc40ce35b495f4ef761fc1f4
https://doi.org/10.1007/s40993-022-00382-1
https://doi.org/10.1007/s40993-022-00382-1
Autor:
Shamik Das, Anupam Saikia
Publikováno v:
Journal of Pure and Applied Algebra. 227:107335
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::a3c22f080c414a38c1a8fc6d8d277e3b
https://doi.org/10.1016/j.jpaa.2023.107335
https://doi.org/10.1016/j.jpaa.2023.107335
Autor:
Jaitra Chattopadhyay, Anupam Saikia
Publikováno v:
Research in Number Theory. 8
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::1d029a8e3e9805e72182117e95301847
https://doi.org/10.1007/s40993-022-00327-8
https://doi.org/10.1007/s40993-022-00327-8
Publikováno v:
Tatra Mountains Mathematical Publications. 77:139-162
In this paper we propose an efficient multivariate encryption scheme based on permutation polynomials over finite fields. We single out a commutative group ℒ(q, m) of permutation polynomials over the finite field F q m. We construct a trapdoor func
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::576c3f9ae91d90d1df51cb853bc1a25e
https://doi.org/10.2478/tmmp-2020-0013
https://doi.org/10.2478/tmmp-2020-0013
Autor:
Anupam Saikia, Shamik Das
Publikováno v:
Bulletin of the Australian Mathematical Society. 103:218-229
The notion of $\theta $ -congruent numbers is a generalisation of congruent numbers where one considers triangles with an angle $\theta $ such that $\cos \theta $ is a rational number. In this paper we discuss a criterion for a natural number to be $
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::83a8aae34eb525b1da433894316a7032
https://doi.org/10.1017/s0004972720000672
https://doi.org/10.1017/s0004972720000672
Autor:
Anupam Saikia
Publikováno v:
Acta Arithmetica. 194:179-186
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::bc201e3843fd255d2a5a55d118bc220e
https://doi.org/10.4064/aa190213-28-8
https://doi.org/10.4064/aa190213-28-8
Publikováno v:
Acta Arithmetica. 196:291-302
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::3bfb487011f2d95ff0b0d9aa5a8eace1
https://doi.org/10.4064/aa190828-5-12
https://doi.org/10.4064/aa190828-5-12
In 2016, in the work related to Galois representations, Greenberg conjectured the existence of multi-quadratic $p$-rational number fields of degree $2^{t}$ for any odd prime number $p$ and any integer $t \geq 1$. Using the criteria provided by him to
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::abcca9270459cb668a6b47e304699d42
