6 papers
Effect of nonmagnetic Ti substitution on the structural, magnetic and transport properties in pyrochlore iridate Eu2(Ir1-xTix)2O7
Sampad Mondal, B. Maji, M. Modak +2
We have studied the effect of nonmagnetic Ti substitution Eu2(Ir1-xTix)2O7 with the help of electrical transport and magnetic measurement. The minor structural modification enhance…
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, for and…
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 i.e., the Lambert series $\sum_{n=1}^\infty…
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…
A new Ramanujan-type identity for
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…