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The Bhargava-Adiga Summation and Partitions 《Bhargava-Adiga》的总结和分割
Journal of the Indian Mathematical Society Pub Date : 2017-07-01 DOI: 10.18311/JIMS/2017/15836
G. Andrews
{"title":"The Bhargava-Adiga Summation and Partitions","authors":"G. Andrews","doi":"10.18311/JIMS/2017/15836","DOIUrl":"https://doi.org/10.18311/JIMS/2017/15836","url":null,"abstract":"The Bhargava-Adiga summation rivals the 1 ψ 1 -summation of Ramanujan in elegance. This paper is devoted to two applications in the theory of integer partitions leading to partition questions related to Gauss's celebrated three triangle theorem.","PeriodicalId":38246,"journal":{"name":"Journal of the Indian Mathematical Society","volume":"84 1","pages":"151-160"},"PeriodicalIF":0.0,"publicationDate":"2017-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48817227","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 7
Fixed Point Theorems for Faintly Compatible Mappings in Intuitionistic Fuzzy Metric Space 直觉模糊度量空间中弱相容映射的不动点定理
Journal of the Indian Mathematical Society Pub Date : 2017-01-02 DOI: 10.18311/JIMS/2017/6106
K. Wadhwa, V. P. Bhardwaj
{"title":"Fixed Point Theorems for Faintly Compatible Mappings in Intuitionistic Fuzzy Metric Space","authors":"K. Wadhwa, V. P. Bhardwaj","doi":"10.18311/JIMS/2017/6106","DOIUrl":"https://doi.org/10.18311/JIMS/2017/6106","url":null,"abstract":"In this paper, we correct the contractive condition of Manro and Kang [16] and prove some common fixed point theorems for four faintly compatible mappings using subsequential continuous mappings in Intuitionistic Fuzzy metric spaces. We also provide an example in support of our main result. Our results improve and generalize the results of Manro and Kang [16].","PeriodicalId":38246,"journal":{"name":"Journal of the Indian Mathematical Society","volume":"84 1","pages":"130-142"},"PeriodicalIF":0.0,"publicationDate":"2017-01-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47141890","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 3
Slightly Regular and Vague Measures 稍微规则和模糊的措施
Journal of the Indian Mathematical Society Pub Date : 2017-01-02 DOI: 10.18311/JIMS/2017/7661
James Camacho
{"title":"Slightly Regular and Vague Measures","authors":"James Camacho","doi":"10.18311/JIMS/2017/7661","DOIUrl":"https://doi.org/10.18311/JIMS/2017/7661","url":null,"abstract":"Outer and inner measures of a measure μ are defined and used to prove results involving them on a lattice l and its complement l '. Most of the results concern slightly regular measures, and vague measures. Then outer and inner measures associated to two measures μ, ν are then used to prove results involving them on two lattices l 1 , and l 2 where l 1 ⊂ l 2 .","PeriodicalId":38246,"journal":{"name":"Journal of the Indian Mathematical Society","volume":"84 1","pages":"23-38"},"PeriodicalIF":0.0,"publicationDate":"2017-01-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45054216","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Some Fixed Point Theorems Under Contractive Type Conditions in Complex Valued Metric Spaces 复值度量空间中压缩型条件下的一些不动点定理
Journal of the Indian Mathematical Society Pub Date : 2017-01-02 DOI: 10.18311/JIMS/2017/6122
G. Saluja
{"title":"Some Fixed Point Theorems Under Contractive Type Conditions in Complex Valued Metric Spaces","authors":"G. Saluja","doi":"10.18311/JIMS/2017/6122","DOIUrl":"https://doi.org/10.18311/JIMS/2017/6122","url":null,"abstract":"The purpose of this paper is to establish some fixed point and common fixed point theorems under contractive type conditions involving rational expression in the setting of complex valued metric spaces. The results presented in this paper extend and generalize some previous works from the existing literature.","PeriodicalId":38246,"journal":{"name":"Journal of the Indian Mathematical Society","volume":"84 1","pages":"96-108"},"PeriodicalIF":0.0,"publicationDate":"2017-01-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43705621","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Integral Closure of Noetherian Domains and Intersections of Rees Valuation Rings, (II) Noetherian域的积分闭包与Rees值环的交集，（II）
Journal of the Indian Mathematical Society Pub Date : 2017-01-02 DOI: 10.18311/jims/2017/6108
Paula Kemp, L. Ratliff, Kishor Shah
{"title":"Integral Closure of Noetherian Domains and Intersections of Rees Valuation Rings, (II)","authors":"Paula Kemp, L. Ratliff, Kishor Shah","doi":"10.18311/jims/2017/6108","DOIUrl":"https://doi.org/10.18311/jims/2017/6108","url":null,"abstract":"Let 1 < s 1 < . . . < s k be integers, and assume that κ ≥ 2 (so s k ≤ 3). Then there exists a local UFD (Unique Factorization Domain) (R,M) such that: (1) Height(M) = s k . (2) R = R' = ∩{VI (V,N) € V j }, where V j (j = 1, . . . , κ) is the set of all of the Rees valuation rings (V,N) of the M-primary ideals such that trd((V I N) I (R I M)) = s j - 1. (3) With V 1 , . . . , V κ as in (2), V 1 ∪ . . . V κ is a disjoint union of all of the Rees valuation rings of allof the M-primary ideals, and each M-primary ideal has at least one Rees valuation ring in each V j .","PeriodicalId":38246,"journal":{"name":"Journal of the Indian Mathematical Society","volume":"84 1","pages":"43-54"},"PeriodicalIF":0.0,"publicationDate":"2017-01-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43103074","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Fuzzy Simpson's 3/8 th Rule for Integration of Fuzzy Functions 模糊函数积分的Fuzzy Simpson 3/8法则
Journal of the Indian Mathematical Society Pub Date : 2017-01-02 DOI: 10.18311/JIMS/2017/6617
T. Ramachandran, R. Parimala
{"title":"Fuzzy Simpson's 3/8 th Rule for Integration of Fuzzy Functions","authors":"T. Ramachandran, R. Parimala","doi":"10.18311/JIMS/2017/6617","DOIUrl":"https://doi.org/10.18311/JIMS/2017/6617","url":null,"abstract":"In this paper,we propose a fuzzy Simpson's 3/8 th rule with positive coeffcient for solving fuzzy integral based on four equally spaced points. In this way a new direction for the numerical solution of fuzzy integral is suggested. This method is illustrated by solving some examples and comparison made with exact solution and are presented.","PeriodicalId":38246,"journal":{"name":"Journal of the Indian Mathematical Society","volume":"84 1","pages":"81-89"},"PeriodicalIF":0.0,"publicationDate":"2017-01-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42905271","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
The Log-Behavior of the Partial Sum for the Tribonacci Numbers Tribonacci数的部分和的对数行为
Journal of the Indian Mathematical Society Pub Date : 2017-01-02 DOI: 10.18311/JIMS/2017/6115
Feng-Zhen Zhao
{"title":"The Log-Behavior of the Partial Sum for the Tribonacci Numbers","authors":"Feng-Zhen Zhao","doi":"10.18311/JIMS/2017/6115","DOIUrl":"https://doi.org/10.18311/JIMS/2017/6115","url":null,"abstract":"Let {T n } n ≥ 0 and {T n [1] } n ≥ 0 denote the tribonacci sequence and the sequence for the partial sum of {T n } n ≥ 0, respectively. In this paper, we mainly investigate the log-concavity of T n [1] } n ≥ 1 and the log-balancedness of some sequences involving T n [1] . In addition, we discuss the monotonicity of some sequences related to T n [1] .","PeriodicalId":38246,"journal":{"name":"Journal of the Indian Mathematical Society","volume":"84 1","pages":"143-149"},"PeriodicalIF":0.0,"publicationDate":"2017-01-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48866571","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Star-Selection Principle: Another New Direction 选星原则：另一个新方向
Journal of the Indian Mathematical Society Pub Date : 2017-01-02 DOI: 10.18311/JIMS/2017/6124
Prasenjit Bal, S. Bhowmik
{"title":"Star-Selection Principle: Another New Direction","authors":"Prasenjit Bal, S. Bhowmik","doi":"10.18311/JIMS/2017/6124","DOIUrl":"https://doi.org/10.18311/JIMS/2017/6124","url":null,"abstract":"Generally selection principles deal with two collections of families of subsets. In this paper we have introduce some new star-selection principles termed as SS* C,1 ( A, B ) and SS* C,fin ( A, B ) which deal with three collections of subsets or families of subsets of a set. As a initiation of a systemic study, some properties of the new selection principles are investigated which show them to be distinct from existing selection principles.","PeriodicalId":38246,"journal":{"name":"Journal of the Indian Mathematical Society","volume":"84 1","pages":"1-6"},"PeriodicalIF":0.0,"publicationDate":"2017-01-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"49294519","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 8
Application of Deformed Lie Algebras to Non-Perturbative Quantum Field Theory 变形李代数在非微扰量子场论中的应用
Journal of the Indian Mathematical Society Pub Date : 2017-01-02 DOI: 10.18311/JIMS/2017/5839
Ali Shojaei-Fard
{"title":"Application of Deformed Lie Algebras to Non-Perturbative Quantum Field Theory","authors":"Ali Shojaei-Fard","doi":"10.18311/JIMS/2017/5839","DOIUrl":"https://doi.org/10.18311/JIMS/2017/5839","url":null,"abstract":"The manuscript implements Connes-Kreimer Hopf algebraic renormalization of Feynman diagrams and Dubois-Violette type noncommutative differential geometry to discover a new class of differential calculi with respect to infinite formal expansions of Feynman diagrams which are generated by Dyson-Schwinger equations.","PeriodicalId":38246,"journal":{"name":"Journal of the Indian Mathematical Society","volume":"84 1","pages":"109-129"},"PeriodicalIF":0.0,"publicationDate":"2017-01-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46499497","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 2
On a Class of Infinite Semipositone Nonlinear Systems with Multiple Parameters 一类多参数无限半正子非线性系统
Journal of the Indian Mathematical Society Pub Date : 2017-01-02 DOI: 10.18311/jims/2017/6110
S. H. Rasouli
{"title":"On a Class of Infinite Semipositone Nonlinear Systems with Multiple Parameters","authors":"S. H. Rasouli","doi":"10.18311/jims/2017/6110","DOIUrl":"https://doi.org/10.18311/jims/2017/6110","url":null,"abstract":"We analyze the existence of positive solutions of infinite semipositone nonlinear systems with multiple parameters of the form {Δu = α 1 (f (v)) - 1/ u n ) + β 1 (h (u) - 1/ u n ), x € Ω), -Δv = α 2 (g (u)) - 1/ v θ ) + β 2 (k (v) - 1/ u θ ),  x € Ω), u = v =0,  x € δΩ), where Ω is a bounded smooth domain of R N , η, θ e (0, 1), and α 1 , α 2 , β 1 and β 2 are nonnegative parameters. Here f, g, h, k e C ([0, ∞ ]), are non-decreasing functions and f(0), g(0), h(0), k(0) > 0. We use the method of sub-super solutions to prove the existence of positive solution for α 1 + β 1 and α 2 + β 2 large.","PeriodicalId":38246,"journal":{"name":"Journal of the Indian Mathematical Society","volume":"84 1","pages":"90-95"},"PeriodicalIF":0.0,"publicationDate":"2017-01-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42889641","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
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