Zobrazeno 1 - 10
of 35
pro vyhledávání: '"Kotyada, Srinivas"'
Let $m\geq 1$ and $a_m$ be integers. Let $\alpha$ be a rational number which is not a negative integer such that $\alpha = \frac{u}{v}$ with $\gcd(u,v) = 1, v>0$. Let $\phi(x)$ belonging to $\Z[x]$ be a monic polynomial which is irreducible modulo al
Externí odkaz:
http://arxiv.org/abs/2306.06890
Autor:
Jakhar, Anuj, Kotyada, Srinivas
Let $n$ be a positive integer and $f_n(x)= 1+x+\frac{x^2}{2!}+\cdots + \frac{x^n}{n!}$ denote the $n$-th Taylor polynomial of the exponential function. Let $K = \mathbf{Q}(\theta)$ be an algebraic number field where $\theta$ is a root of $f_n(x)$ and
Externí odkaz:
http://arxiv.org/abs/2303.08100
Autor:
Hoque, Azizul, Kotyada, Srinivas
We investigate the class number one problem for a parametric family of real quadratic fields of the form $\mathbb{Q}( \sqrt{m^2+4r})$ for certain positive integers $m$ and $r$.
Comment: 4 pages. To appear in Archiv der Mathematik
Comment: 4 pages. To appear in Archiv der Mathematik
Externí odkaz:
http://arxiv.org/abs/2008.03505
Let $K$ be a cyclic cubic field and $\mathcal{O}_K$ be its ring of integers. In this note we prove that all cyclic cubic number fields with conductors in the interval $ [73, 11971]$ and with class number one are Euclidean.
Comment: 7 pages, to a
Comment: 7 pages, to a
Externí odkaz:
http://arxiv.org/abs/1706.04877
Let $K/\mathbb{Q}$ be an algebraic number field of class number one and $\mathcal{O}_K$ be its ring of integers. We show that there are infinitely many non-Wieferich primes with respect to certain units in $\mathcal{O}_K$ under the assumption of the
Externí odkaz:
http://arxiv.org/abs/1610.00488
It is proved that Epstein's zeta-function $\zeta_{Q}(s)$, related to a positive definite integral binary quadratic form, has a zero $1/2 + i\gamma$ with $ T \leq \gamma \leq T + T^{{3/7} +\varepsilon} $ for sufficiently large positive numbers $T$. Th
Externí odkaz:
http://arxiv.org/abs/1602.06069
Autor:
Banerjee, Pradipto, Kotyada, Srinivas
In this paper we find a new lower bound on the number of imaginary quadratic extensions of the function field $\mathbb{F}_{q}(x)$ whose class groups have elements of a fixed odd order. More precisely, for $q$, a power of an odd prime, and $g$ a fixed
Externí odkaz:
http://arxiv.org/abs/1102.3769
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Autor:
Anuj Jakhar, Kotyada Srinivas
We give a lower bound for the degree of an irreducible factor of a given polynomial. This improves and generalizes the results obtained in [4, On the irreducible factors of a polynomial, Proc. Amer. Math. Soc., 148 (2020] 1429 -- 1437].
8 pages,
8 pages,
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::f57037fd1fd1416f40affca8d3552cea
http://arxiv.org/abs/2001.02437
http://arxiv.org/abs/2001.02437