http://ij.informaticsglobal.com/index.php/jims/issue/feedThe Journal of the Indian Mathematical Society2021-06-15T13:56:24+00:00Peeyush Chandrajournal.ims1910@gmail.comOpen Journal Systems<div id="jnr_mq" style="color: red; font-size: 18px;"><marquee>Neither Informatics nor the Indian Mathematical Society has appointed any agent for publishing papers in the Journal of the Indian Mathematical Society. Also, none of us charge any publication/ processing/ page charges or any other fees for publishing a paper</marquee></div>The Indian Mathematical Society began publishing Progress Reports right from 1907 and then the Journal from 1908 (The 1908 and 1909 issues of the Journal are entitled "The Journal of the Indian Mathematical Club"). From 1910 onward, it is published as its current title 'The Journal of Indian Mathematical Society.<br /><span style="color: blue;">The Journal is Indexed in Scopus with <a href="http://scimagojr.com/journalsearch.php?q=21100259506&tip=sid&clean=0" target="_blank">H Index </a>3. Included in UGC's - CARE List of Journals (Group A) </span>http://ij.informaticsglobal.com/index.php/jims/article/view/27831An Estimate of the Growth of Cohomology with Coefficients2021-06-15T12:49:47+00:00Chaitanya Ambichaitanya.ambi@gmail.comFor a connected reductive algebraic group over an arbitrary number eld, we consider a nite dimensional algebraic, irreducible representation of the group of its real points. Each adelic locally symmetric space corresponding to a level structure constructed using the group has an associated sheaf induced by this representation. The purpose of this note is to estimate the rate of growth of the total dimension of the pertinent cohomology with coecients as either of the level structure or the associated sheaf varies. We obtain an upper bound on this total dimension. We also obtain a lower bound under certain topological conditions. Both the bounds are consistent with several classical dimension formulae as well as other known results.2021-06-14T10:16:37+00:00Copyright (c) 2021 The Journal of the Indian Mathematical Societyhttp://ij.informaticsglobal.com/index.php/jims/article/view/25270Uniqueness of Meromorphic Functions Ordinarily and Partially Sharing Values With Reduced Linear <i>C</i>-shift Operators2021-06-15T12:50:22+00:00Abhijit Banerjeeabanerjee kal@yahoo.co.inArpita Royarpita140793@gmail.comIn this paper, we investigate the uniqueness problem of meromorphic functions ordinarily and partially sharing values with the reduced linear c-shift operators governed by them, which practically provide an extensions and improvements of a number of recent results at a large extent.2021-06-14T10:16:38+00:00Copyright (c) 2021 The Journal of the Indian Mathematical Societyhttp://ij.informaticsglobal.com/index.php/jims/article/view/26439Some Biharmonic Problems on the Tangent Bundle with a Berger-type Deformed Sasaki Metric2021-06-15T13:50:49+00:00Abdallah Medjadjabdallah.medjadj@univ-mascara.dzHichem Elhendielhendihichem@yahoo.frLakehal Belarbilakehalbelarbi@gmail.comLet (M<sub>2k</sub>,Φ,g) be an almost anti-paraKahler manifold and TM its tangent bundle equipped with the Berger type deformed Sasaki metric gBS and the paracomplex structure Φ<sub>˜</sub>. In this paper, we deal with the biharmonicity of canonical projection π : TM →M and a vector field X which is considered as a map X : M → TM.2021-06-14T10:16:38+00:00Copyright (c) 2021 The Journal of the Indian Mathematical Societyhttp://ij.informaticsglobal.com/index.php/jims/article/view/27832Growth Properties of Solutions of Complex Linear Differential-difference Equations with Coefficients having the Same Logarithmic Order in the Unit Disc2021-06-15T13:51:00+00:00Nityagopal Biswasnityamaths@gmail.comSanjib Kumar Dattasanjibdatta05@gmail.comGorachand Chakrabortygorachand11@gmail.comIn this paper, we investigate the relations between the growth of meromorphic coefficients and that of meromorphic solutions of complex linear differential-difference equations with meromorphic cofficients of finite logarithmic order in the unit disc. Our results can be viewed as the generalization for both the cases of complex linear differential equations and complex linear difference equations.2021-06-14T10:16:38+00:00Copyright (c) 2021 The Journal of the Indian Mathematical Societyhttp://ij.informaticsglobal.com/index.php/jims/article/view/27833On α-prime Ideals in the Semiring of Non-Negative Integers2021-06-15T13:51:08+00:00Dipak Ravindra Bondedrbonde@rediffmail.comJayprakash Ninu Chaudharijnchaudhari@rediffmail.comCharacterizations of α-prime ideals in the semiring of non- negative integers are investigated.2021-06-14T10:16:38+00:00Copyright (c) 2021 The Journal of the Indian Mathematical Societyhttp://ij.informaticsglobal.com/index.php/jims/article/view/27849Approximation of Functions in <i>H(α; p)</i>-space By Taylor Means2021-06-15T13:51:42+00:00Prem Chandrapremchandraujnn@yahoo.inIn 2014, the authors [Mat. Vesnik, 66(1)(2014),46{57], among the other results, obtained the Jackson order: O(n<sup>-α</sup>) for 0 < α < 1 as the degree of approximation of functions in a subspace of H(α; p), 0 < α ≤ 1, 1 ≤ p ≤ ∞ space. In the present paper, among the other re- sults, we extend the subspace of H(α; p), used earlier by the authors[ibid], to obtain the Jackson order: O(n<sup>-α</sup>) for 0 < α ≤ 1 and relax the hypothesis imposed upon the functions in H(α; p) space.2021-06-14T10:16:38+00:00Copyright (c) 2021 The Journal of the Indian Mathematical Societyhttp://ij.informaticsglobal.com/index.php/jims/article/view/27834On Subtractive Ideals of (m; n)-semirings2021-06-15T13:51:58+00:00J. N. Chaudharijnchaudhari@rediffmail.comHarish Nemadehgnemade123@redimail.comLet <em>R</em> be a commutative (m, n)-semiring with an identity element. It is proved that every partitioning ideal of <em>R</em> is a subtractive ideal. Also if <em>I</em> is a partitioning ideal of R, then a relation between the set of subtractive ideals (subtractive prime ideals) of <em>R</em> containing <em>I</em> and the set of subtractive ideals (subtractive prime ideals) of the quotient (m, n)-semiring <em>R/I(Q</em>) is obtained.2021-06-14T10:16:38+00:00Copyright (c) 2021 The Journal of the Indian Mathematical Societyhttp://ij.informaticsglobal.com/index.php/jims/article/view/27835Note on the <i><sub>p</sub>R<sub>q</sub>(α; β; z)</i> Function2021-06-15T13:52:08+00:00Rachana Desairachana.132@gmail.comA. K. Shuklaajayshukla2@redimail.comThe aim of this paper is to give some convergence conditions of the <em><sub>p</sub>R<sub>q</sub>(α; β; z)</em> function. We also derive the integral representation of the function <em><sub>p</sub>R<sub>q</sub>(α; β; z)</em> in the form of Mellin-Barnes Integral including its analytic property.2021-06-14T10:16:38+00:00Copyright (c) 2021 The Journal of the Indian Mathematical Societyhttp://ij.informaticsglobal.com/index.php/jims/article/view/24897Irreducibility of A Formal Power Series with Integer Coefficients2021-06-15T13:54:50+00:00Mriganka S. Duttadutta.mriganka82@gmail.comHelen K. Saikiahsaikia@yahoo.comIn this article, we have established a relation between total number of partitions of a positive integer n and all possible factorizations of a power series with constant term prime power<em> p<sup>n</sup></em>, into irreducible power series. Finally we try to develop an irreducibility criterion for power series whose constant term is a prime power.2021-06-14T10:16:38+00:00Copyright (c) 2021 The Journal of the Indian Mathematical Societyhttp://ij.informaticsglobal.com/index.php/jims/article/view/27836A Lusternik-Schnirelmann Type Theorem for C<sup>1</sup>-Frechet Manifolds2021-06-15T13:55:02+00:00Kaveh Eftekharinasabkaveh@imath.kiev.uaIvan Lastivkaiola@nau.edu.uaWe prove a Lusternik-Schnirelmann type theorem for a <em>C</em><sup>1</sup>- function φ : M → R, where M is a connected infinite dimensional Frechet manifold of class <em>C</em><sup>1</sup>. To this end, in this context we prove the so-called Deformation Lemma and by using it we derive the result generalizing the Minimax Principle.2021-06-14T10:16:38+00:00Copyright (c) 2021 The Journal of the Indian Mathematical Societyhttp://ij.informaticsglobal.com/index.php/jims/article/view/27837Oscillation for Certain Third Order Functional Delay Difference Equation2021-06-15T13:55:09+00:00I. Mohammed Ali Jafferjaffermathsgac@gmail.comR. Shanmugapriyashanmuepic1995@gmail.comThis paper is concerned with the third order functional delay difference equation of the form Δ(C<sub>n</sub>Δ(a<sub>n</sub>Δx<sub>n</sub>)) + <sup>m</sup>Σ<sub>i=1</sub>pn<sub>i</sub>Δxσ<sub>i(n-r)</sub> + <sup>m</sup>Σ<sub>i=1</sub>qn<sub>i</sub>f (xσ<sub>i(n-r)</sub>) = 0. We obtain some new oscillation criteria by using Riccati transformation technique. Examples are given to illustrate the results.2021-06-14T10:16:38+00:00Copyright (c) 2021 The Journal of the Indian Mathematical Societyhttp://ij.informaticsglobal.com/index.php/jims/article/view/27838The Closure Operator, Flats and Hyperplanes of es-Splitting Matroid2021-06-15T13:55:23+00:00P. P. Malavadkarprashant.malavadkar@mitwpu.edu.inS. B. Dhotredsantosh2@yahoo.co.inM. M. Shikaremmshikare@gmail.comThe es-splitting operation on binary matroids is a natural generalization of Slater's <em>n</em>-line splitting operation on graphs. In this paper, we characterize the closure operator of the es-splitting binary matroid M<sup>e</sup><sub>X</sub> in terms of the closure operator of the original binary matroid M. We also describe the ats and the hyperplanes of the es-splitting bi- nary matroid M<sup>e</sup><sub>X</sub> in terms of the ats and the hyperplanes, respectively of the original binary matroid M.2021-06-14T10:16:38+00:00Copyright (c) 2021 The Journal of the Indian Mathematical Societyhttp://ij.informaticsglobal.com/index.php/jims/article/view/25549On a Generalization of Incomplete Fibonacci Quaternions2021-06-15T13:55:32+00:00Bijan Kumar Patelbijan.patelfma@kiit.ac.inNarmada Beheranarmadafma@kiit.ac.inThe aim of this article is to introduce a new class of quater- nions, namely, incomplete Horadam quaternions that are based on in- complete Horadam numbers which generalize the previously introduced incomplete Fibonacci and Lucas quaternions. Further, some identities including summation formulas and generating functions concerning these quaternions are also established.2021-06-14T10:16:38+00:00Copyright (c) 2021 The Journal of the Indian Mathematical Societyhttp://ij.informaticsglobal.com/index.php/jims/article/view/27839Power of a Meromorphic Function Sharing A Set with Least Cardinality and Weight with its Derivative2021-06-15T13:55:44+00:00Arindam Sarkarsarkararindam.as@gmail.comIn this paper we deal with the uniqueness problem of the power of a meromorphic function when it shares a set with its derivative. We also relax the nature of sharing of the set and reduce the cardinality of the shared set in some cases.2021-06-14T10:16:38+00:00Copyright (c) 2021 The Journal of the Indian Mathematical Societyhttp://ij.informaticsglobal.com/index.php/jims/article/view/27840Escaping Sets of Composition of Transcendental Entire Functions2021-06-15T13:56:24+00:00Anand P. Singhsinghanandp@rediffmail.comGarima Tomartomar.garima10@gmail.comIf <em>f</em> and <em>g</em> are transcendental entire functions, then so are <em>f</em> o <em>g</em> and <em>g</em> o<em> f.</em> We discuss here the dynamics of various types of escaping sets and also non-escaping sets of composition of transcendental entire functions <em>f</em> o <em>g</em> and <em>g</em> o <em>f</em> and also its relations with regard to its factors<em> f</em> and <em>g</em>.2021-06-14T10:16:38+00:00Copyright (c) 2021 The Journal of the Indian Mathematical Society