6 papers
Boundary Condition dependent Universality Classes on a Hyperbolic Lattice
Pallabi Dey, Debasish Banerjee, Arnab Kundu +1
We study the ferromagnetic Ising model on finite hyperbolic tessellations of Euclidean AdS with open and wired boundary conditions. Because a finite fraction of spins remains a…
Interplay of Gauss Law and the fermion sign problem in quantum link models with dynamical matter
Pallabi Dey, Debasish Banerjee, Emilie Huffman
Quantum Link Models with dynamical matter coupled to spin- gauge fields in and can potentially give rise to the Coulomb phase expected in qua…
Perfect powers in sum of three fifth powers
Pranabesh Das, Pallab Kanti Dey, Angelos Koutsianas +1
In this paper we determine the perfect powers that are sums of three fifth powers in an arithmetic progression. More precisely, we completely solve the Diophantine equation $$ (x-d…
Torsion groups of Mordell curves over cubic and sextic fields
Pallab Kanti Dey, Bidisha Roy
In this paper, we classify torsion groups of rational Mordell curves explicitly over cubic fields as well as over sextic fields. Also, we classify torsion groups of Mordell curves…
Prime powers dividing products of consecutive integer values of
Stephan Baier, Pallab Kanti Dey
Let be a positive integer and . In this paper, we study orders of primes dividing products of the form . We prove that if $m >…
Perfect powers in alternating sum of consecutive cubes
Pranabesh Das, Pallab Kanti Dey, B. Maji +1
In this paper, we consider the problem about finding out perfect powers in an alternating sum of consecutive cubes. More precisely, we completely solve the Diophantine equation $(x…