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Tribonacci numbers that are concatenations of two repdigits. 由两个拟人数字连接而成的三波那契数。
IF 2.9 2区 数学
Revista De La Real Academia De Ciencias Exactas Fisicas Y Naturales Serie A-Matematicas Pub Date : 2020-01-01 Epub Date: 2020-09-15 DOI: 10.1007/s13398-020-00933-0
Mahadi Ddamulira
{"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}
引用次数: 22
Čebyšev–Grüss inequalities for $$alpha $$-partial derivatives $$alpha $$偏导数的Čebyšev-Grüss不等式
IF 2.9 2区 数学
Revista De La Real Academia De Ciencias Exactas Fisicas Y Naturales Serie A-Matematicas Pub Date : 2020-01-01 DOI: 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}
引用次数: 0
Some inequalities of the Grüss type for conformable $${varvec{k}}$$-fractional integral operators 符合$${varvec{k}}$$ -分数阶积分算子的gr<s:1> s型不等式
IF 2.9 2区 数学
Revista De La Real Academia De Ciencias Exactas Fisicas Y Naturales Serie A-Matematicas Pub Date : 2019-01-01 DOI: 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}
引用次数: 23
Multiple solutions for a class of $$N$$N-Kirchhoff type equations via variational methods 一类$$N$$ N-Kirchhoff型方程的变分多解
IF 2.9 2区 数学
Revista De La Real Academia De Ciencias Exactas Fisicas Y Naturales Serie A-Matematicas Pub Date : 2015-03-01 DOI: 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}
引用次数: 2
Approximate $$(alpha ,beta ,gamma )$$(α,β,γ)-derivation on random Lie $$C^*$$C∗-algebras 随机Lie $$C^*$$ C * -代数上的近似$$(alpha ,beta ,gamma )$$ (α，β，γ)-导数
IF 2.9 2区 数学
Revista De La Real Academia De Ciencias Exactas Fisicas Y Naturales Serie A-Matematicas Pub Date : 2015-03-01 DOI: 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}
引用次数: 3
Calibers, $$omega $$-continuous maps and function spaces 口径，$$omega $$ -连续映射和功能空间
IF 2.9 2区 数学
Revista De La Real Academia De Ciencias Exactas Fisicas Y Naturales Serie A-Matematicas Pub Date : 2014-09-01 DOI: 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}
引用次数: 3
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 涉及$$(p_1(x),ldots ,p_n(x))$$ (p1(x)，…，pn(x))-拉普拉斯算子的一类Neumann双特征值边值系统的多重解
IF 2.9 2区 数学
Revista De La Real Academia De Ciencias Exactas Fisicas Y Naturales Serie A-Matematicas Pub Date : 2014-09-01 DOI: 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}
引用次数: 2
Fixed points of generalized $$alpha $$-$$psi $$-contractions 广义$$alpha $$ - $$psi $$ -收缩的不动点
IF 2.9 2区 数学
Revista De La Real Academia De Ciencias Exactas Fisicas Y Naturales Serie A-Matematicas Pub Date : 2014-09-01 DOI: 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}
引用次数: 23
Characterization of L. Schwartz’ convolutor and multiplier spaces $$mathcal O _{C}'$$OC′ and $$mathcal O _{M}$$OM by the short-time Fourier transform 用短时傅里叶变换表征L. Schwartz的卷积和乘子空间$$mathcal O _{C}'$$ OC '和$$mathcal O _{M}$$ OM
IF 2.9 2区 数学
Revista De La Real Academia De Ciencias Exactas Fisicas Y Naturales Serie A-Matematicas Pub Date : 2014-09-01 DOI: 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}
引用次数: 9
Multi-valued $$F$$F-contractions in 0-complete partial metric spaces with application to Volterra type integral equation 0完全偏度量空间中的多值$$F$$ f压缩及其在Volterra型积分方程中的应用
IF 2.9 2区 数学
Revista De La Real Academia De Ciencias Exactas Fisicas Y Naturales Serie A-Matematicas Pub Date : 2014-09-01 DOI: 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}
引用次数: 45
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