7 papers · 1 filter
Congruences for Overcolored Partition -tuples Restricted by Parity of the Parts
M. P. Thejitha, S. N. Fathima
In recent work, authors defined to be the number of overcolored partition -tuples wherein both even and odd parts are colored with and colors, respe…
On the sum of odd minimal excludants over overpartitions
Veena V S, S N Fathima
Andrews and Newman introduced the minimal excludant of an integer partition and studied the summatory function , and Baruah et al. refined t…
A Note On Certain Minimal Excludants Over Overpartitions
Dipika Sarkar, M. P. Thejitha, S. N. Fathima
Let and denote the sum of minimal excludants and sum of even minimal excludants over all overpartitions, respectively. In this work, we stud…
Overcolored Partition -tuples Restricted by Parity of the Parts
M. P. Thejitha, S. N. Fathima
In this paper, we study the combinatorial object which counts the overcolored partition -tuples wherein both even and odd parts are colored with and …
Generalization of Ramanujan's Continued Fractions for Even Order
Dipika Sarkar, S. N. Fathima, M. P. Thejitha
In this paper, we derive three generalized continued fractions of any even order with the aid of a general continued fraction identity of Ramanujan and we establish general the…
Vanishing Coefficients of q^{5n+r} and q^{7n+r} in Certain Infinite q-series Expansions
M. P. Thejitha, Anusree Anand, S. N. Fathima
Motivated by the recent work of several authors on vanishing coefficients of the arithmetic progression in certain -series expansion, we study some variants of these -series…
Arithmetic Properties of Partitions with 1-colored Even Parts and r-colored Odd Parts
M. P. Thejitha, S. N. Fathima
Recently, Hirschhorn and Sellers defined the partition function , which counts the number of partitions of wherein even parts come in only one color, while the odd part…