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New estimates for some integrals of functions defined over primes 定义在素数上的函数的一些积分的新估计
IF 0.5
FUNCTIONES ET APPROXIMATIO COMMENTARII MATHEMATICI Pub Date : 2022-01-01 DOI: 10.7169/facm/2049
Christian Axler
{"title":"New estimates for some integrals of functions defined over primes","authors":"Christian Axler","doi":"10.7169/facm/2049","DOIUrl":"https://doi.org/10.7169/facm/2049","url":null,"abstract":"In this paper we give new estimates for integrals involving some arithmetic functions defined over prime numbers. The main focus here is on the prime counting function $pi(x)$ and the Chebyshev $vartheta$-function. Some of these estimates depend on the correctness of the Riemann hypothesis on the nontrivial zeros of the Riemann zeta function $zeta(s)$.","PeriodicalId":44655,"journal":{"name":"FUNCTIONES ET APPROXIMATIO COMMENTARII MATHEMATICI","volume":null,"pages":null},"PeriodicalIF":0.5,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47401634","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: 1
Multiplication on Besov and Triebel-Lizorkin spaces of power weights 幂权的Besov和triiebel - lizorkin空间的乘法
IF 0.5
FUNCTIONES ET APPROXIMATIO COMMENTARII MATHEMATICI Pub Date : 2022-01-01 DOI: 10.7169/facm/1991
Hamza Brahim Boulares, D. Drihem
{"title":"Multiplication on Besov and Triebel-Lizorkin spaces of power weights","authors":"Hamza Brahim Boulares, D. Drihem","doi":"10.7169/facm/1991","DOIUrl":"https://doi.org/10.7169/facm/1991","url":null,"abstract":"","PeriodicalId":44655,"journal":{"name":"FUNCTIONES ET APPROXIMATIO COMMENTARII MATHEMATICI","volume":null,"pages":null},"PeriodicalIF":0.5,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45707060","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
Mean square value of $L$-functions at $s=1$ for non-primitive characters, Dedekind sumsand bounds on relative class numbers $L$-函数在$s=1$处的均方值，用于非原始字符，Dedekind和相对类数的边界
IF 0.5
FUNCTIONES ET APPROXIMATIO COMMENTARII MATHEMATICI Pub Date : 2022-01-01 DOI: 10.7169/facm/2027
S. Louboutin
{"title":"Mean square value of $L$-functions at $s=1$ for non-primitive characters, Dedekind sumsand bounds on relative class numbers","authors":"S. Louboutin","doi":"10.7169/facm/2027","DOIUrl":"https://doi.org/10.7169/facm/2027","url":null,"abstract":"","PeriodicalId":44655,"journal":{"name":"FUNCTIONES ET APPROXIMATIO COMMENTARII MATHEMATICI","volume":null,"pages":null},"PeriodicalIF":0.5,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47935309","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
On the mean square average of Dirichlet $L$-function over characters of odd parityin a special case 一种特殊情况下Dirichlet $L$-函数在奇奇奇上的均方平均值
IF 0.5
FUNCTIONES ET APPROXIMATIO COMMENTARII MATHEMATICI Pub Date : 2022-01-01 DOI: 10.7169/facm/2020
N. E. Thomas, A. Chandran, K. V. Namboothiri
{"title":"On the mean square average of Dirichlet $L$-function over characters of odd parityin a special case","authors":"N. E. Thomas, A. Chandran, K. V. Namboothiri","doi":"10.7169/facm/2020","DOIUrl":"https://doi.org/10.7169/facm/2020","url":null,"abstract":"","PeriodicalId":44655,"journal":{"name":"FUNCTIONES ET APPROXIMATIO COMMENTARII MATHEMATICI","volume":null,"pages":null},"PeriodicalIF":0.5,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43628873","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
A characterization of two-weighted inequalities for maximal, singular operators andtheir commutators in generalized weighted Morrey spaces 广义加权Morrey空间中极大奇异算子及其交换子的两个加权不等式的特征
IF 0.5
FUNCTIONES ET APPROXIMATIO COMMENTARII MATHEMATICI Pub Date : 2022-01-01 DOI: 10.7169/facm/1924
C. Aykol, J. Hasanov, Z. Safarov
{"title":"A characterization of two-weighted inequalities for maximal, singular operators andtheir commutators in generalized weighted Morrey spaces","authors":"C. Aykol, J. Hasanov, Z. Safarov","doi":"10.7169/facm/1924","DOIUrl":"https://doi.org/10.7169/facm/1924","url":null,"abstract":"","PeriodicalId":44655,"journal":{"name":"FUNCTIONES ET APPROXIMATIO COMMENTARII MATHEMATICI","volume":null,"pages":null},"PeriodicalIF":0.5,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"41988425","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 the exponential Diophantine equation $F_{n}^{x}+F_{n+1}^{x}+cdots+F_{n+k-1}^{x}=F_{m}$ 在美元指数丢番图方程f {n} ^ {x} + f {n + 1} ^ {x} + cdots + f {n + k - 1} ^ f {m} $ {x} =
IF 0.5
FUNCTIONES ET APPROXIMATIO COMMENTARII MATHEMATICI Pub Date : 2022-01-01 DOI: 10.7169/facm/1860
F. Luca, E. Tchammou, A. Togbé
{"title":"On the exponential Diophantine equation $F_{n}^{x}+F_{n+1}^{x}+cdots+F_{n+k-1}^{x}=F_{m}$","authors":"F. Luca, E. Tchammou, A. Togbé","doi":"10.7169/facm/1860","DOIUrl":"https://doi.org/10.7169/facm/1860","url":null,"abstract":"","PeriodicalId":44655,"journal":{"name":"FUNCTIONES ET APPROXIMATIO COMMENTARII MATHEMATICI","volume":null,"pages":null},"PeriodicalIF":0.5,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46631968","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
Almost all Fourier coefficients of symmetric power $L$-functions are small 几乎所有对称幂$L$-函数的傅立叶系数都很小
IF 0.5
FUNCTIONES ET APPROXIMATIO COMMENTARII MATHEMATICI Pub Date : 2022-01-01 DOI: 10.7169/facm/2082
Henry H. Kim
{"title":"Almost all Fourier coefficients of symmetric power $L$-functions are small","authors":"Henry H. Kim","doi":"10.7169/facm/2082","DOIUrl":"https://doi.org/10.7169/facm/2082","url":null,"abstract":"","PeriodicalId":44655,"journal":{"name":"FUNCTIONES ET APPROXIMATIO COMMENTARII MATHEMATICI","volume":null,"pages":null},"PeriodicalIF":0.5,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43396327","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
Average behaviour of higher moments of cusp form coefficients 尖形系数较高矩的平均行为
IF 0.5
FUNCTIONES ET APPROXIMATIO COMMENTARII MATHEMATICI Pub Date : 2022-01-01 DOI: 10.7169/facm/1988
Guodong Hua
{"title":"Average behaviour of higher moments of cusp form coefficients","authors":"Guodong Hua","doi":"10.7169/facm/1988","DOIUrl":"https://doi.org/10.7169/facm/1988","url":null,"abstract":"","PeriodicalId":44655,"journal":{"name":"FUNCTIONES ET APPROXIMATIO COMMENTARII MATHEMATICI","volume":null,"pages":null},"PeriodicalIF":0.5,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47964956","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
Estimates for the shifted convolution sum involving Fourier coefficients of cusp forms of half-integral weight 涉及半积分权尖点形式傅立叶系数的移位卷积和的估计
IF 0.5
FUNCTIONES ET APPROXIMATIO COMMENTARII MATHEMATICI Pub Date : 2022-01-01 DOI: 10.7169/facm/1942
Abash Kumar Jha, L. Vaishya
{"title":"Estimates for the shifted convolution sum involving Fourier coefficients of cusp forms of half-integral weight","authors":"Abash Kumar Jha, L. Vaishya","doi":"10.7169/facm/1942","DOIUrl":"https://doi.org/10.7169/facm/1942","url":null,"abstract":". In this article, we obtain certain estimate for the shifted convolution sum involving the Fourier coefficients of half-integral weight cusp forms.","PeriodicalId":44655,"journal":{"name":"FUNCTIONES ET APPROXIMATIO COMMENTARII MATHEMATICI","volume":null,"pages":null},"PeriodicalIF":0.5,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46942195","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
One class of continuous functionswith complicated local properties relatednewline to Engel series 一类具有复杂局部性质的连续函数与恩格尔级数有关
IF 0.5
FUNCTIONES ET APPROXIMATIO COMMENTARII MATHEMATICI Pub Date : 2022-01-01 DOI: 10.7169/facm/1963
O. Baranovskyi, M. Pratsiovytyi
{"title":"One class of continuous functionswith complicated local properties relatednewline to Engel series","authors":"O. Baranovskyi, M. Pratsiovytyi","doi":"10.7169/facm/1963","DOIUrl":"https://doi.org/10.7169/facm/1963","url":null,"abstract":"","PeriodicalId":44655,"journal":{"name":"FUNCTIONES ET APPROXIMATIO COMMENTARII MATHEMATICI","volume":null,"pages":null},"PeriodicalIF":0.5,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48939373","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
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