FUNCTIONES ET APPROXIMATIO COMMENTARII MATHEMATICI最新文献

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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":" ","pages":""},"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
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":" ","pages":""},"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
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":"1 1","pages":""},"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":" ","pages":""},"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":" ","pages":""},"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":" ","pages":""},"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":" ","pages":""},"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":" ","pages":""},"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
On Hermitian Eisenstein series of degree $2$ 关于2次的厄米爱森斯坦级数
IF 0.5
FUNCTIONES ET APPROXIMATIO COMMENTARII MATHEMATICI Pub Date : 2022-01-01 DOI: 10.7169/facm/2047
Adrian Hauffe-Waschbusch, A. Krieg, Brandon Williams
{"title":"On Hermitian Eisenstein series of degree $2$","authors":"Adrian Hauffe-Waschbusch, A. Krieg, Brandon Williams","doi":"10.7169/facm/2047","DOIUrl":"https://doi.org/10.7169/facm/2047","url":null,"abstract":"We consider the Hermitian Eisenstein series $E^{(mathbb{K})}_k$ of degree $2$ and weight $k$ associated with an imaginary-quadratic number field $mathbb{K}$ and determine the influence of $mathbb{K}$ on the arithmetic and the growth of its Fourier coefficients. We find that they satisfy the identity $E^{{(mathbb{K})}^2}_4 = E^{{(mathbb{K})}}_8$, which is well-known for Siegel modular forms of degree $2$, if and only if $mathbb{K} = mathbb{Q} (sqrt{-3})$. As an application, we show that the Eisenstein series $E^{(mathbb{K})}_k$, $k=4,6,8,10,12$ are algebraically independent whenever $mathbb{K}neq mathbb{Q}(sqrt{-3})$. The difference between the Siegel and the restriction of the Hermitian to the Siegel half-space is a cusp form in the Maass space that does not vanish identically for sufficiently large weight; however, when the weight is fixed, we will see that it tends to $0$ as the discriminant tends to $-infty$. Finally, we show that these forms generate the space of cusp forms in the Maass Spezialschar as a module over the Hecke algebra as $mathbb{K}$ varies over imaginary-quadratic number fields.","PeriodicalId":44655,"journal":{"name":"FUNCTIONES ET APPROXIMATIO COMMENTARII MATHEMATICI","volume":" ","pages":""},"PeriodicalIF":0.5,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43307070","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
Ulam stability of a quadratic-type functional equation in 3 variables in the quasi-Banach space 拟banach空间中3变量二次型泛函方程的Ulam稳定性
IF 0.5
FUNCTIONES ET APPROXIMATIO COMMENTARII MATHEMATICI Pub Date : 2022-01-01 DOI: 10.7169/facm/1934
Ravi Sharma, S. Chandok
{"title":"Ulam stability of a quadratic-type functional equation in 3 variables in the quasi-Banach space","authors":"Ravi Sharma, S. Chandok","doi":"10.7169/facm/1934","DOIUrl":"https://doi.org/10.7169/facm/1934","url":null,"abstract":"","PeriodicalId":44655,"journal":{"name":"FUNCTIONES ET APPROXIMATIO COMMENTARII MATHEMATICI","volume":" ","pages":""},"PeriodicalIF":0.5,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48603871","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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