Pub Date : 2020-01-01Epub Date: 2020-09-15DOI: 10.1007/s13398-020-00933-0
Mahadi Ddamulira
Let be the sequence of Tribonacci numbers defined by , , and for all . In this note, we use of lower bounds for linear forms in logarithms of algebraic numbers and the Baker-Davenport reduction procedure to find all Tribonacci numbers that are concatenations of two repdigits.
让T (n) n≥0被T Tribonacci之序列数字:0 = 0,T = T = 2 = 1, T和T n + 3 = n + 2 + T T n + 1 + n的所有n≥0。在这篇文章中，我们用下舱的线条来线性使用对数的数字和面包师减少的程序来寻找所有的数字，这些数字是两个重复的结果。
{"title":"Tribonacci numbers that are concatenations of two repdigits.","authors":"Mahadi Ddamulira","doi":"10.1007/s13398-020-00933-0","DOIUrl":"https://doi.org/10.1007/s13398-020-00933-0","url":null,"abstract":"<p><p>Let <math> <msub><mrow><mo>(</mo> <msub><mi>T</mi> <mi>n</mi></msub> <mo>)</mo></mrow> <mrow><mi>n</mi> <mo>≥</mo> <mn>0</mn></mrow> </msub> </math> be the sequence of Tribonacci numbers defined by <math> <mrow><msub><mi>T</mi> <mn>0</mn></msub> <mo>=</mo> <mn>0</mn></mrow> </math> , <math> <mrow><msub><mi>T</mi> <mn>1</mn></msub> <mo>=</mo> <msub><mi>T</mi> <mn>2</mn></msub> <mo>=</mo> <mn>1</mn></mrow> </math> , and <math> <mrow><msub><mi>T</mi> <mrow><mi>n</mi> <mo>+</mo> <mn>3</mn></mrow> </msub> <mo>=</mo> <msub><mi>T</mi> <mrow><mi>n</mi> <mo>+</mo> <mn>2</mn></mrow> </msub> <mo>+</mo> <msub><mi>T</mi> <mrow><mi>n</mi> <mo>+</mo> <mn>1</mn></mrow> </msub> <mo>+</mo> <msub><mi>T</mi> <mi>n</mi></msub> </mrow> </math> for all <math><mrow><mi>n</mi> <mo>≥</mo> <mn>0</mn></mrow> </math> . In this note, we use of lower bounds for linear forms in logarithms of algebraic numbers and the Baker-Davenport reduction procedure to find all Tribonacci numbers that are concatenations of two repdigits.</p>","PeriodicalId":54471,"journal":{"name":"Revista De La Real Academia De Ciencias Exactas Fisicas Y Naturales Serie A-Matematicas","volume":"114 4","pages":"203"},"PeriodicalIF":2.9,"publicationDate":"2020-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1007/s13398-020-00933-0","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"38521518","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2020-01-01DOI: 10.1007/s13398-020-00948-7
Chang-Jian Zhao
{"title":"Čebyšev–Grüss inequalities for $$alpha $$-partial derivatives","authors":"Chang-Jian Zhao","doi":"10.1007/s13398-020-00948-7","DOIUrl":"https://doi.org/10.1007/s13398-020-00948-7","url":null,"abstract":"","PeriodicalId":54471,"journal":{"name":"Revista De La Real Academia De Ciencias Exactas Fisicas Y Naturales Serie A-Matematicas","volume":"32 1","pages":"1-8"},"PeriodicalIF":2.9,"publicationDate":"2020-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"77374784","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2019-01-01DOI: 10.1007/s13398-019-00731-3
G. Rahman, K. Nisar, A. Ghaffar, Feng Qi (祁锋)
{"title":"Some inequalities of the Grüss type for conformable $${varvec{k}}$$-fractional integral operators","authors":"G. Rahman, K. Nisar, A. Ghaffar, Feng Qi (祁锋)","doi":"10.1007/s13398-019-00731-3","DOIUrl":"https://doi.org/10.1007/s13398-019-00731-3","url":null,"abstract":"","PeriodicalId":54471,"journal":{"name":"Revista De La Real Academia De Ciencias Exactas Fisicas Y Naturales Serie A-Matematicas","volume":"1 1","pages":"9"},"PeriodicalIF":2.9,"publicationDate":"2019-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"79273656","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2015-03-01DOI: 10.1007/S13398-014-0177-3
N. T. Chung, H. Q. Toan
{"title":"Multiple solutions for a class of $$N$$N-Kirchhoff type equations via variational methods","authors":"N. T. Chung, H. Q. Toan","doi":"10.1007/S13398-014-0177-3","DOIUrl":"https://doi.org/10.1007/S13398-014-0177-3","url":null,"abstract":"","PeriodicalId":54471,"journal":{"name":"Revista De La Real Academia De Ciencias Exactas Fisicas Y Naturales Serie A-Matematicas","volume":"117 1","pages":"247-256"},"PeriodicalIF":2.9,"publicationDate":"2015-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"76447640","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2015-03-01DOI: 10.1007/S13398-013-0161-3
R. Saadati, T. Rassias, Y. Cho
{"title":"Approximate $$(alpha ,beta ,gamma )$$(α,β,γ)-derivation on random Lie $$C^*$$C∗-algebras","authors":"R. Saadati, T. Rassias, Y. Cho","doi":"10.1007/S13398-013-0161-3","DOIUrl":"https://doi.org/10.1007/S13398-013-0161-3","url":null,"abstract":"","PeriodicalId":54471,"journal":{"name":"Revista De La Real Academia De Ciencias Exactas Fisicas Y Naturales Serie A-Matematicas","volume":"7 1","pages":"1-10"},"PeriodicalIF":2.9,"publicationDate":"2015-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"82396984","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2014-09-01DOI: 10.1007/S13398-012-0111-5
O. Okunev, V. Tkachuk
{"title":"Calibers, $$omega $$-continuous maps and function spaces","authors":"O. Okunev, V. Tkachuk","doi":"10.1007/S13398-012-0111-5","DOIUrl":"https://doi.org/10.1007/S13398-012-0111-5","url":null,"abstract":"","PeriodicalId":54471,"journal":{"name":"Revista De La Real Academia De Ciencias Exactas Fisicas Y Naturales Serie A-Matematicas","volume":"15 1","pages":"419-430"},"PeriodicalIF":2.9,"publicationDate":"2014-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"79521535","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2014-09-01DOI: 10.1007/S13398-013-0160-4
G. Afrouzi, Qihu Zhang, A. Hadjian
{"title":"Multiple solutions for a class of Neumann doubly eigenvalue boundary value systems involving the $$(p_1(x),ldots ,p_n(x))$$(p1(x),…,pn(x))-Laplacian","authors":"G. Afrouzi, Qihu Zhang, A. Hadjian","doi":"10.1007/S13398-013-0160-4","DOIUrl":"https://doi.org/10.1007/S13398-013-0160-4","url":null,"abstract":"","PeriodicalId":54471,"journal":{"name":"Revista De La Real Academia De Ciencias Exactas Fisicas Y Naturales Serie A-Matematicas","volume":"21 1","pages":"1055-1064"},"PeriodicalIF":2.9,"publicationDate":"2014-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"73048341","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2014-09-01DOI: 10.1007/S13398-013-0123-9
P. Amiri, S. Rezapour, N. Shahzad
{"title":"Fixed points of generalized $$alpha $$-$$psi $$-contractions","authors":"P. Amiri, S. Rezapour, N. Shahzad","doi":"10.1007/S13398-013-0123-9","DOIUrl":"https://doi.org/10.1007/S13398-013-0123-9","url":null,"abstract":"","PeriodicalId":54471,"journal":{"name":"Revista De La Real Academia De Ciencias Exactas Fisicas Y Naturales Serie A-Matematicas","volume":"11 1","pages":"519-526"},"PeriodicalIF":2.9,"publicationDate":"2014-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"82998617","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2014-09-01DOI: 10.1007/S13398-013-0144-4
C. Bargetz, N. Ortner
{"title":"Characterization of L. Schwartz’ convolutor and multiplier spaces $$mathcal O _{C}'$$OC′ and $$mathcal O _{M}$$OM by the short-time Fourier transform","authors":"C. Bargetz, N. Ortner","doi":"10.1007/S13398-013-0144-4","DOIUrl":"https://doi.org/10.1007/S13398-013-0144-4","url":null,"abstract":"","PeriodicalId":54471,"journal":{"name":"Revista De La Real Academia De Ciencias Exactas Fisicas Y Naturales Serie A-Matematicas","volume":"75 1","pages":"833-847"},"PeriodicalIF":2.9,"publicationDate":"2014-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"76695669","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2014-09-01DOI: 10.1007/S13398-013-0157-Z
Daniela Paesano, C. Vetro
{"title":"Multi-valued $$F$$F-contractions in 0-complete partial metric spaces with application to Volterra type integral equation","authors":"Daniela Paesano, C. Vetro","doi":"10.1007/S13398-013-0157-Z","DOIUrl":"https://doi.org/10.1007/S13398-013-0157-Z","url":null,"abstract":"","PeriodicalId":54471,"journal":{"name":"Revista De La Real Academia De Ciencias Exactas Fisicas Y Naturales Serie A-Matematicas","volume":"34 1","pages":"1005-1020"},"PeriodicalIF":2.9,"publicationDate":"2014-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"82698179","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
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