55 citations · 121 across the 40 of their papers we have counts for
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Bressoud-Subbarao type weighted partition identities for a generalized divisor function
Archit Agarwal, Subhash Chand Bhoria, Pramod Eyyunni +1
In 1984, Bressoud and Subbarao obtained an interesting weighted partition identity for a generalized divisor function, by means of combinatorial arguments. Recently, the last three…
Hardy-Littlewood-Riesz type equivalent criteria for the Generalized Riemann hypothesis
Meghali Garg, Bibekananda Maji
In the present paper, we prove that the generalized Riemann hypothesis for the Dirichlet -function is equivalent to the following bound: Let and be po…
A new generalization of the minimal excludant arising from an analogue of Franklin's identity
Subhash Chand Bhoria, Pramod Eyyunni, Bibekananda Maji
Euler's classical identity states that the number of partitions of an integer into odd parts and distinct parts are equinumerous. Franklin gave a generalization by considering part…
Riesz-type criteria for the Riemann hypothesis
Archit Agarwal, Meghali Garg, Bibekananda Maji
In 1916, Riesz proved that the Riemann hypothesis is equivalent to the bound $\sum_{n=1}^\infty \frac{μ(n)}{n^2} \exp\left( - \frac{x}{n^2} \right) = O_ε \left( x^{-\frac{3}{4} + ε…