55 citations · 121 across the 40 of their papers we have counts for
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Laurent series expansions of -functions
Tushar Karmakar, Saikat Maity, Bibekananda Maji
One of the main objectives of the current paper is to revisit the well known Laurent series expansions of the Riemann zeta function , Hurwitz zeta function and Diric…
Equivalent criteria for the Riemann hypothesis for a general class of -functions
Meghali Garg, Bibekananda Maji
In 1916, Riesz gave an equivalent criterion for the Riemann hypothesis (RH). Inspired from Riesz's criterion, Hardy and Littlewood showed that RH is equivalent to the following bou…
A Number Field Analogue of Ramanujan's identity for
Diksha Rani Bansal, Bibekananda Maji
Ramanujan's famous formula for has captivated the attention of numerous mathematicians over the years. Grosswald, in 1972, found a simple extension of Ramanujan's formula…
An asymptotic expansion for a Lambert series associated to Siegel cusp forms of degree
Babita, Abhash Kumar Jha, Bibekananda Maji +1
Utilizing inverse Mellin transform of the symmetric square -function attached to Ramanujan tau function, Hafner and Stopple proved a conjecture of Zagier, which states that the…
A divisor generating q-series identity and its applications to probability theory and random graphs
Archit Agarwal, Subhash Chand Bhoria, Pramod Eyyunni +1
In I981, Uchimura studied a divisor generating -series that has applications in probability theory and in the analysis of data structures, called heaps. Mainly, he proved the fo…