B. Maji

activity

20092026

most citedObservation of spontaneous magnetization jump and field-induced irreversibility in Nd5Ge3

55 citations · 121 across the 40 of their papers we have counts for

collaborators

41 papers

math.NT2026

An extension of Ramanujan-Guinand identity for the Dedekind zeta function and a new formula for $ζ_{F} (2)$ and $ζ_{F} (2 m + 1)$

Diksha Rani Bansal, Bibekananda Maji

On page 253 of his Lost Notebook, Ramanujan recorded an intriguing identity relating a generalized divisor function and a modified Bessel function, which was later rediscovered by…

math.NT2025

Analogues of Harglotz-Zagier-Novikov function

Diksha Rani Bansal, Bibekananda Maji, Pragya Singh

Recently, Choie and Kumar extensively studied the Herglotz-Zagier-Novikov function $F (z; u, v)$ , defined as \begin{align*} \mathfrak{F}(z;u,v) = \int_{0}^{1} \frac{\log(1-…

math.NT2025

Rademacher-type exact formula and higher order Turán inequalities for $r$ -colored $ℓ$ -regular partitions

Archit Agarwal, Meghali Garg, Bibekananda Maji

In 1937, Rademacher refined the circle method of Hardy and Ramanujan to derive an exact convergent series for the partition function $p (n)$ . In 1942, Hua derived an exact formula f…

math.NT2025

Rademacher-type exact formula and higher order Turán inequalities for cubic overpartitions

Archit Agarwal, Meghali Garg, Bibekananda Maji

In 1918, Hardy and Ramanujan made a breakthrough by developing the circle method to deduce an asymptotic formula for the partition function $p (n)$ , which was later refined by Radem…

math.MG2025

Modified Distance Ratio Metrics via Domain Diameter and their geometric implications

Bibekananda Maji, Pritam Naskar, Swadesh Kumar Sahoo

Let $D ⊊ R^{n}, n \geq 2$ , be a domain. In this manuscript, a new version of the Vuorinen's distance ratio metric $j_{D}$ [{\tt J. Analyse Math.} {\bf 45} (1985), 69--115…

math.NT2025

Number Field Analogue of Jacobi Theta Relation And Zeros of Dedekind zeta function on Re $(s) = 1/2$

Diksha Rani Bansal, Bibekananda Maji

In 1914, Hardy proved that there are infinitely many non-trivial zeros of the Riemann zeta function $ζ (s)$ on the critical line Re $(s) = 1/2$ using the Jacobi theta relation. In this…

math.MG2025

A naive generalization of the hyperbolic and the quasihyperbolic metrics

Bibekananda Maji, Pritam Naskar, Swadesh Kumar Sahoo

Although the hyperbolic metric possesses many remarkable properties, it is not defined on arbitrary subdomains of $R^{n}$ with $n \geq 2$ . This article introduces a new hype…

math.NT2025

A divisor generating $q$ -series and cumulants arising from random graphs

Archit Agarwal, Subhash Chand Bhoria, Pramod Eyyunni +2

Uchimura, in 1987, introduced a probability generating function for a random variable $X$ and using properties of this function he discovered an interesting $q$ -series identity. He…

math.NT2024

Laurent series expansions of $L$ -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 $ζ (s)$ , Hurwitz zeta function $ζ (s, a)$ and Diric…

math.NT2024

Equivalent criteria for the Riemann hypothesis for a general class of $L$ -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…

math.NT2024

A Number Field Analogue of Ramanujan's identity for $ζ (2 m + 1)$

Diksha Rani Bansal, Bibekananda Maji

Ramanujan's famous formula for $ζ (2 m + 1)$ has captivated the attention of numerous mathematicians over the years. Grosswald, in 1972, found a simple extension of Ramanujan's formula…

math.NT2024

An asymptotic expansion for a Lambert series associated to Siegel cusp forms of degree $n$

Babita, Abhash Kumar Jha, Bibekananda Maji +1

Utilizing inverse Mellin transform of the symmetric square $L$ -function attached to Ramanujan tau function, Hafner and Stopple proved a conjecture of Zagier, which states that the…

math.NT2024

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 $q$ -series that has applications in probability theory and in the analysis of data structures, called heaps. Mainly, he proved the fo…

math.NT2023

Finite sequences of integers expressible as sums of two squares

Ajai Choudhry, Bibekananda Maji

This paper is concerned with finite sequences of integers that may be written as sums of squares of two nonzero integers. We first find infinitely many integers $n$ such that $n, n…

math.NT2023

A Dirichlet character analogue of Ramanujan's formula for odd zeta values

Anushree Gupta, Md Kashif Jamal, Nilmoni Karak +1

In 2001, Kanemitsu, Tanigawa, and Yoshimoto studied the following generalized Lambert series, $n = 1 \sum \infty \frac{n ^{N - 2 h}}{exp ( n ^{N} x ) - 1},$ for $N \in N$ and…

math.NT2023

Zeros of Ramanujan-type Polynomials

Bibekananda Maji, Tithi Sarkar

Ramanujan's notebooks contain many elegant identities and one of the celebrated identities is a formula for $ζ (2 k + 1)$ . In 1972, Grosswald gave an extension of the Ramanujan's formu…

math.NT2023

An asymptotic expansion for a Lambert series associated to Siegel cusp forms

Babita, Abhash Kumar Jha, Abhishek Juyal +1

In 2000, Hafner and Stopple proved a conjecture of Zagier which states that the constant term of the automorphic function $∣Δ (x + i y) ∣^{2}$ i.e., the Lambert series $\sum_{n=1}^\infty…

math.NT2023

Voronoi summation formula for the generalized divisor function $σ_{z}^{(k)} (n)$

Atul Dixit, Bibekananda Maji, Akshaa Vatwani

For a fixed $z \in C$ and a fixed $k \in N$ , let $σ_{z}^{(k)} (n)$ denote the sum of $z$ -th powers of those divisors $d$ of $n$ whose $k$ -th powers also divide $n$ . Th…

math.CO2022

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…

math.NT2022

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 $L$ -function $L (s, χ)$ is equivalent to the following bound: Let $k \geq 1$ and $ℓ$ be po…

math.CO2022

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…

math.NT2022

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…

math.NT2021

A new Ramanujan-type identity for $L (2 k + 1, χ_{1})$

Shashi Chourasiya, Md Kashif Jamal, Bibekananda Maji

One of the celebrated formulas of Ramanujan is about odd zeta values, which has been studied by many mathematicians over the years. A notable extension was given by Grosswald in 19…

math.NT2021★ 7 cited

A refinement of a result of Andrews and Newman on the sum of minimal excludants

Nayandeep Deka Baruah, Subhash Chand Bhoria, Pramod Eyyunni +1

In this article, we refine a result of Andrews and Newman, that is, the sum of minimal excludants over all the partitions of a number $n$ equals the number of partitions of $n$ int…

An extension of Ramanujan-Guinand identity for the Dedekind zeta function and a new formula for ζF​(2) and ζF​(2m+1)

Analogues of Harglotz-Zagier-Novikov function

Rademacher-type exact formula and higher order Turán inequalities for r-colored ℓ-regular partitions

Rademacher-type exact formula and higher order Turán inequalities for cubic overpartitions

Modified Distance Ratio Metrics via Domain Diameter and their geometric implications

Number Field Analogue of Jacobi Theta Relation And Zeros of Dedekind zeta function on Re(s)=1/2

A naive generalization of the hyperbolic and the quasihyperbolic metrics

A divisor generating q-series and cumulants arising from random graphs

Laurent series expansions of L-functions

Equivalent criteria for the Riemann hypothesis for a general class of L-functions

A Number Field Analogue of Ramanujan's identity for ζ(2m+1)

An asymptotic expansion for a Lambert series associated to Siegel cusp forms of degree n

A divisor generating q-series identity and its applications to probability theory and random graphs

Finite sequences of integers expressible as sums of two squares

A Dirichlet character analogue of Ramanujan's formula for odd zeta values

Zeros of Ramanujan-type Polynomials

An asymptotic expansion for a Lambert series associated to Siegel cusp forms

Voronoi summation formula for the generalized divisor function σz(k)​(n)

Bressoud-Subbarao type weighted partition identities for a generalized divisor function

Hardy-Littlewood-Riesz type equivalent criteria for the Generalized Riemann hypothesis

A new generalization of the minimal excludant arising from an analogue of Franklin's identity

Riesz-type criteria for the Riemann hypothesis

A new Ramanujan-type identity for L(2k+1,χ1​)

A refinement of a result of Andrews and Newman on the sum of minimal excludants

An extension of Ramanujan-Guinand identity for the Dedekind zeta function and a new formula for $ζ_{F} (2)$ and $ζ_{F} (2 m + 1)$

Rademacher-type exact formula and higher order Turán inequalities for $r$ -colored $ℓ$ -regular partitions

Number Field Analogue of Jacobi Theta Relation And Zeros of Dedekind zeta function on Re $(s) = 1/2$

A divisor generating $q$ -series and cumulants arising from random graphs

Laurent series expansions of $L$ -functions

Equivalent criteria for the Riemann hypothesis for a general class of $L$ -functions

A Number Field Analogue of Ramanujan's identity for $ζ (2 m + 1)$

An asymptotic expansion for a Lambert series associated to Siegel cusp forms of degree $n$

Voronoi summation formula for the generalized divisor function $σ_{z}^{(k)} (n)$

A new Ramanujan-type identity for $L (2 k + 1, χ_{1})$