Sai Teja Somu

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20152024

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Showing 2015Show all

5 papers · 1 filter

math.NT2015

On the coefficients of divisors of $x^{n} - 1$

Sai Teja Somu

Let $a (r, n)$ be $r$ th coefficient of $n$ th cyclotomic polynomial. Suzuki proved that ${a (r, n) ∣ r \geq 1, n \geq 1} = Z$ . If $m$ and $n$ are two natural numbers we prove an ana…

math.NT2015

On unavoidable obstructions in Gaussian walks

Sai Teja Somu, Ram Krishna Pandey

In this paper we investigate a problem about certain walks in the ring of Gaussian integers. Let $n, d$ be two natural numbers. Does there exist a sequence of Gaussian integers $z_j…

math.NT2015

On Newman's phenomenon in higher bases

Sai Teja Somu

A well known result of Newman says that upto a limit, multiples of $3$ with even number of 1's in binary representation always exceed multiples of $3$ with odd number of 1's. The p…

math.NT2015

On Integer sequences in Product sets

Sai Teja Somu

Let $B$ be a finite set of natural numbers or complex numbers. Product set corresponding to $B$ is defined by $B . B := {ab : a, b \in B}$ . In this paper we give an upper bound for longe…

math.NT2015

On the distribution of numbers related to the divisors of $x^{n} - 1$

Sai Teja Somu

Let $n_{1}, \dots, n_{r}$ be any finite sequence of integers and let $S$ be the set of all natural numbers $n$ for which there exists a divisor $d (x) = 1 + \sum_{i = 1}^{d e g (d)} c_{i} x^{i}$ of $x^…

On the coefficients of divisors of xn−1

On unavoidable obstructions in Gaussian walks

On Newman's phenomenon in higher bases

On Integer sequences in Product sets

On the distribution of numbers related to the divisors of xn−1

On the coefficients of divisors of $x^{n} - 1$

On the distribution of numbers related to the divisors of $x^{n} - 1$