P. Ray

activity

20162022

most citedPell and Pell-Lucas numbers as sums of three repdigits

2 citations · 4 across the 4 of their papers we have counts for

collaborators

4 papers

math.NT2022★ 2 cited

Padovan numbers which are concatenations of three repdigits

Kisan Bhoi, Prasanta Kumar Ray

Padovan sequence is a ternary recurrent sequence defined by the recurrence relation $P_{n + 3} = P_{n + 1} + P_{n}$ with initial terms $P_{0} = P_{1} = P_{2} = 1.$ In this study it is shown that…

math.NT2022

On the Diophantine equation $B_{n_{1}} + B_{n_{2}} = 2^{a_{1}} + 2^{a_{2}} + 2^{a_{3}}$

Kisan Bhoi, Prasanta Kumar Ray

In this study we find all solutions of the Diophantine equation $B_{n_{1}} + B_{n_{2}} = 2^{a_{1}} + 2^{a_{2}} + 2^{a_{3}}$ in positive integer variables $(n_{1}, n_{2}, a_{1}, a_{2}, a_{3}),$ …

math.NT2020★ 2 cited

Pell and Pell-Lucas numbers as sums of three repdigits

Kisan Bhoi, Bijan Kumar Patel, Prasanta Kumar Ray

In this study, we find all Pell and Pell-Lucas numbers which are sums of three base 10 repdigits. The proof of our main theorem uses lower bounds for linear forms in logarithms of…

math.NT2016

Higher-order identities for balancing numbers

Takao Komatsu, Prasanta Kumar Ray

Let $B_{n}$ be the $n$ -th balancing number. In this paper, we give some explicit expressions of $\sum_{l=0}^{2 r-3}(-1)^l\binom{2 r-3}{l}\sum_{j_1+\cdots+j_r=n-2 l\atop j_1,\dots,j_r…

Padovan numbers which are concatenations of three repdigits

On the Diophantine equation Bn1​​+Bn2​​=2a1​+2a2​+2a3​

Pell and Pell-Lucas numbers as sums of three repdigits

Higher-order identities for balancing numbers

On the Diophantine equation $B_{n_{1}} + B_{n_{2}} = 2^{a_{1}} + 2^{a_{2}} + 2^{a_{3}}$