Publications
Submitted:
Diksha Rani Bansal and Bibekananda Maji,
A number field analogue of Ramanujan's identity for zeta(2m+1),
submitted for publication, July 2024.
Babita, Abhash Jha, Bibekananda Maji and Manidipa Pal,
An asymptotic expansion of the constant term of an automorphic function,
submitted for publication, May 2024.
Archit Agarwal, Subhash Chand Bhoria, Pramod Eyyunni and Bibekananda Maji,
A divisor generating q-series identity and its applications to probability theory and random graphs,
submitted for publication, May 2024.
Babita, Abhash Jha, Bibekananda Maji and Manidipa Pal,
An asymptotic expansion of a Lambert series associated to Siegel cusp forms of degree n,
submitted for publication, March 2024.
Bibekananda Maji and Tithi Sarkar,
Zeros of Ramanujan-type polynomials,
submitted for publication, June 2023.
Atul Dixit, Bibekananda Maji and Akshaa Vatwani,
Voronoi summation formula for a generalized divisor function,
submitted for publication, March 2023.
arXiv:2303.09937
Bibekananda Maji, Pritam Naskar and Sumukha Sathyanarayana,
A series associated to Rankin-Selberg L-function and modified K-Bessel function,
submitted for publication, Feb 2023.
Accepted/Published:
Anushree Gupta, Md Kashif Jamal, Nilmoni Karak and Bibekananda Maji,
A Dirichlet character analogue of Ramanujan's formula for odd zeta values,
Adv. in Appl. Math. 158 (2024), 102707.
https://doi.org/10.1016/j.aam.2024.102707
Babita, Abhash Kumar Jha, Abhishek Juyal and Bibekananda Maji
An asymptotic expansion for a Lambert series associated to Siegel cusp forms, Ramanujan J. (2024).
https://doi.org/10.1007/s11139-024-00864-z
Ajai Choudhry and Bibekananda Maji,
Finite sequences of integers expressible as sums of two squares,
Int. J. Number Theory, (2024).
https://doi.org/10.1142/S1793042124500866
Archit Agarwal, Subhash Chand Bhoria, Pramod Eyyunni, and Bibekananda Maji,
Bressoud-Subbarao type weighted partition identities for a generalized divisor function,
Ann. Comb., 28, 555--574 (2024).
https://doi.org/10.1007/s00026-023-00647-1
Diksha Rani Bansal, Anuvrat Jaindungarwal, and Bibekananda Maji,
Voronoi bound for a generalized divisor function,
Proc. Indian Acad. Sci. Math. Sci. 133:34 (2023), 11 pp.
Nayandeep Deka Baruah, Subhash Chand Bhoria, Pramod Eyyunni and Bibekananda Maji,
A refinement of a result of Andrews and Newman on the sum of minimal excludants,
Ramanujan J. 62 (2023), 1045--1067.
https://doi.org/10.1007/s11139-023-00738-w
Meghali Garg and Bibekananda Maji,
Hardy-Littlewood-Riesz type equivalent criteria for the generalized Riemann hypothesis,
Monatsh. für Math. 201 (2023) 771--788.
https://doi.org/10.1007/s00605-023-01857-8
Debika Banerjee and Bibekananda Maji,
Identities associated to a generalized divisor function and modified Bessel function,
Research in Number Theory, 9, 28 (2023).
https://doi.org/10.1007/s40993-023-00431-3
Subhash Chand Bhoria, Pramod Eyyunni and Bibekananda Maji,
A new generalization of the minimal excludant arising from an analogue of Franklin's identity,
Discrete Math., 346 (2023), 113334.
https://doi.org/10.1016/j.disc.2023.113334
Shashi Chourasiya, Md Kashif Jamal and Bibekananda Maji
A new Ramanujan-type identity for L(2k+1, chi_1),
Ramanujan J., 60 (2023), 729--750.
https://doi.org/10.1007/s11139-022-00661-6
Abhishek Juyal, Bibekananda Maji and Sumukha Satyanarayana,
An asymptotic expansion for a Lambert series associated to the symmetric
square L-function,
Int. J. Number Theory, 19 (2022), 553--567.
https://doi.org/10.1142/S1793042123500264
Archit Agarwal, Meghali Garg and Bibekananda Maji,
Riesz-type criteria for the Riemann hypothesis,
Proc. Amer. Math. Soc., 150 (2022), 5151--5163.
https://doi.org/10.1090/proc/16064
Bibekananda Maji, Sumukha Sathyanarayana and B. R. Shankar,
An asymptotic expansion for a twisted Lambert series associated
to a cusp form and the Mobius function: level aspect,
Results Maths. 77, 123 (2022).
https://doi.org/10.1007/s00025-022-01655-y
Prabh Simrat Kaur, Subhash Chand Bhoria, Pramod Eyyunni and Bibekananda Maji,
Minimal excludant over partitions into distinct parts,
Int. J. Number Theory, 18 (2022), 2015--2028.
https://doi.org/10.1142/S1793042122501032
Anushree Gupta and Bibekananda Maji,
On Ramanujan's formula for zeta(1/2) and zeta(2m+1),
J. Math. Anal. Appl., 507 (2022), 125738.
https://doi.org/10.1016/j.jmaa.2021.125738
Subhash Chand Bhoria, Pramod Eyyunni and Bibekananda Maji,
Generalization of five q-series identities of Ramanujan and unexplored
weighted partition identities, Ramanujan J., 58 (2022), 435--462.
https://doi.org/10.1007/s11139-021-00529-1
Abhishek Juyal, Bibekananda Maji and Sumukha Satyanarayana,
An exact formula for a Lambert series associated to a cusp form
and the Mobius function, Ramanujan J., 57 (2022), 769--784.
https://doi.org/10.1007/s11139-020-00375-7
Pramod Eyyunni, Bibekananda Maji and Garima Sood,
An Inequality between finite analogues of rank and crank moments,
Int. J. Number Theory (In a special Issue- in honor of Prof. Bruce Berndt),
17 (2021), 405--423.
https://doi.org/10.1142/S1793042120400217
Atul Dixit, Pramod Eyyunni, Bibekananda Maji and Garima Sood,
Untrodden pathways in the theory of the restricted partition function p(n, N),
Journal of Combinatorial Theory, Series A, 180 (2021), 105423.
Atul Dixit and Bibekananda Maji,
Generalized Lambert series and arithmetic nature of odd zeta values,
Proc. Roy. Soc. Edinburg Sect. A: Mathematics, 150 (2020), 741--769.
Pallab Kanti Dey, Pranabesh Das, Bibekananda Maji and Sudhanshu Sekhar Rout,
Perfect powers in alternating sum of consecutive cubes,
Glasnik Mathematicki, 55 (2020), 37--53.
Atul Dixit and Bibekananda Maji,
Partition implications of a three parameter q-series idenity,
Ramanujan J., 52 (2020), 323--358.
Atul Dixit, Rajat Gupta, Rahul Kumar and Bibekananda Maji,
Generalized Lambert series, Raabe's cosine transform and a two-parameter
generalization of Ramanujan's formula for zeta(2m+1),
Nagoya Math. J., 239 (2020), 232--293.
Atul Dixit, Rahul Kumar, Bibekananda Maji and Alexandru Zaharescu,
Zeros of combinations of the Riemann Ξ-function and the confluent
hypergeometric function on bounded vertical shifts,
J. Math. Anal. Appl., 446 (2018), 307--323.
Kalyan Chakraborty, Abhishek Juyal, Bibekananda Maji and Shiv Datta Kumar,
An asymptotic expansion of a Lambert series associated to cusp forms
Int. J. Number Theory, 14 (2018), 289--299.
Debika Banerjee, Kalyan Chakraborty, Shigeru Kanemitsu and Bibekananda Maji,
Abel-tauber process and asymptotic formulas,
Kyushu J. Math., 71 (2017), 363--385.
Kalyan Chakraborty, Shigeru Kanemitsu and Bibekananda Maji,
Modular-type relations associated to the Rankin-Selberg L-function,
Ramanujan J., 42 (2017), 285--299.
Pallab Kanti Dey and Bibekananda Maji,
Arithmetic Progressions on y^2= x^3 +k,
J. Integer Seq. 19 (2016), Article 16.7.4
Bibekananda Maji
A new proof of the infinitude of primes,
Resonance, 20 (2015), 1128--1135.