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Borne de hauteur semi-effective pour le problème de Mordell-Lang dans un tore 环面中Mordell-Lang问题的半有效高度系柱
IF 0.5
FUNCTIONES ET APPROXIMATIO COMMENTARII MATHEMATICI Pub Date : 2019-09-01 DOI: 10.7169/FACM/1779
Jérôme Von Buhren
{"title":"Borne de hauteur semi-effective pour le problème de Mordell-Lang dans un tore","authors":"Jérôme Von Buhren","doi":"10.7169/FACM/1779","DOIUrl":"https://doi.org/10.7169/FACM/1779","url":null,"abstract":"","PeriodicalId":44655,"journal":{"name":"FUNCTIONES ET APPROXIMATIO COMMENTARII MATHEMATICI","volume":" ","pages":""},"PeriodicalIF":0.5,"publicationDate":"2019-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43513477","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
On the race between primes with an odd versus an even sum of the last $k$ binary digits 关于最后一个$k$二进制数字的奇数和偶数素数之间的竞赛
IF 0.5
FUNCTIONES ET APPROXIMATIO COMMENTARII MATHEMATICI Pub Date : 2019-09-01 DOI: 10.7169/facm/1687
Youness Lamzouri, Bruno Martin
{"title":"On the race between primes with an odd versus an even sum of the last $k$ binary digits","authors":"Youness Lamzouri, Bruno Martin","doi":"10.7169/facm/1687","DOIUrl":"https://doi.org/10.7169/facm/1687","url":null,"abstract":"","PeriodicalId":44655,"journal":{"name":"FUNCTIONES ET APPROXIMATIO COMMENTARII MATHEMATICI","volume":" ","pages":""},"PeriodicalIF":0.5,"publicationDate":"2019-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45275014","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
On the $p$-divisibility of class numbers of cyclotomic function fields 关于分圆函数域的类数的$p$-可整除性
IF 0.5
FUNCTIONES ET APPROXIMATIO COMMENTARII MATHEMATICI Pub Date : 2019-09-01 DOI: 10.7169/FACM/1757
D. Shiomi
{"title":"On the $p$-divisibility of class numbers of cyclotomic function fields","authors":"D. Shiomi","doi":"10.7169/FACM/1757","DOIUrl":"https://doi.org/10.7169/FACM/1757","url":null,"abstract":"","PeriodicalId":44655,"journal":{"name":"FUNCTIONES ET APPROXIMATIO COMMENTARII MATHEMATICI","volume":"31 4","pages":""},"PeriodicalIF":0.5,"publicationDate":"2019-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"41290510","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
Algèbres de Jordan sans J-diviseurs topologiques généralisés de zéro 没有J的Jordan代数-广义拓扑零除数
IF 0.5
FUNCTIONES ET APPROXIMATIO COMMENTARII MATHEMATICI Pub Date : 2019-09-01 DOI: 10.7169/FACM/1744
Abdelaziz Tajmouati, A. Zinedine
{"title":"Algèbres de Jordan sans J-diviseurs topologiques généralisés de zéro","authors":"Abdelaziz Tajmouati, A. Zinedine","doi":"10.7169/FACM/1744","DOIUrl":"https://doi.org/10.7169/FACM/1744","url":null,"abstract":"","PeriodicalId":44655,"journal":{"name":"FUNCTIONES ET APPROXIMATIO COMMENTARII MATHEMATICI","volume":" ","pages":""},"PeriodicalIF":0.5,"publicationDate":"2019-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.7169/FACM/1744","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"41636889","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
Evaluation of the convolution sum $sum_{al+bm=n} sigma(l) sigma(m)$ for $(a,b)=(1,48),(3,16),(1,54),(2,27)$ 卷积和的评估$sum_{al+bm=n} sigma(l) sigma(m)$为 $(a,b)=(1,48),(3,16),(1,54),(2,27)$
IF 0.5
FUNCTIONES ET APPROXIMATIO COMMENTARII MATHEMATICI Pub Date : 2019-09-01 DOI: 10.7169/FACM/1742
S. Alaca, Yavuz Kesicioğlu
{"title":"Evaluation of the convolution sum $sum_{al+bm=n} sigma(l) sigma(m)$ for $(a,b)=(1,48),(3,16),(1,54),(2,27)$","authors":"S. Alaca, Yavuz Kesicioğlu","doi":"10.7169/FACM/1742","DOIUrl":"https://doi.org/10.7169/FACM/1742","url":null,"abstract":"","PeriodicalId":44655,"journal":{"name":"FUNCTIONES ET APPROXIMATIO COMMENTARII MATHEMATICI","volume":" ","pages":""},"PeriodicalIF":0.5,"publicationDate":"2019-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.7169/FACM/1742","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44163918","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
Carleson embeddings for Hardy-Orlicz and Bergman-Orlicz spaces of the upper-half plane 上半平面Hardy-Orlicz和Bergman-Orlicz空间的Carleson嵌入
IF 0.5
FUNCTIONES ET APPROXIMATIO COMMENTARII MATHEMATICI Pub Date : 2019-08-29 DOI: 10.7169/FACM/1877
Jean Marcel T. Dje, B. Sehba
{"title":"Carleson embeddings for Hardy-Orlicz and Bergman-Orlicz spaces of the upper-half plane","authors":"Jean Marcel T. Dje, B. Sehba","doi":"10.7169/FACM/1877","DOIUrl":"https://doi.org/10.7169/FACM/1877","url":null,"abstract":"In this paper we characterize off-diagonal Carleson embeddings for both Hardy-Orlicz spaces and Bergman-Orlicz spaces of the upper-half plane. We use these results to obtain embedding relations and pointwise multipliers between these spaces.","PeriodicalId":44655,"journal":{"name":"FUNCTIONES ET APPROXIMATIO COMMENTARII MATHEMATICI","volume":" ","pages":""},"PeriodicalIF":0.5,"publicationDate":"2019-08-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47050293","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: 4
Half-integral weight modular forms and real quadratic $p$-rational fields 半积分权模形式与实二次$p$-有理域
IF 0.5
FUNCTIONES ET APPROXIMATIO COMMENTARII MATHEMATICI Pub Date : 2019-06-07 DOI: 10.7169/facm/1851
J. Assim, Zakariae Bouazzaoui
{"title":"Half-integral weight modular forms and real quadratic $p$-rational fields","authors":"J. Assim, Zakariae Bouazzaoui","doi":"10.7169/facm/1851","DOIUrl":"https://doi.org/10.7169/facm/1851","url":null,"abstract":"Using half-integral weight modular forms we give a criterion for the existence of real quadratic $p$-rational fields. For $p=5$ we prove the existence of infinitely many real quadratic $p$-rational fields.","PeriodicalId":44655,"journal":{"name":"FUNCTIONES ET APPROXIMATIO COMMENTARII MATHEMATICI","volume":" ","pages":""},"PeriodicalIF":0.5,"publicationDate":"2019-06-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44998611","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: 10
A constraint for twist equivalence of cusp forms on GL$(n)$ GL$(n)$上尖形扭转等价的约束
IF 0.5
FUNCTIONES ET APPROXIMATIO COMMENTARII MATHEMATICI Pub Date : 2019-06-03 DOI: 10.7169/FACM/1913
D. Ramakrishnan, Liyang Yang
{"title":"A constraint for twist equivalence of cusp forms on GL$(n)$","authors":"D. Ramakrishnan, Liyang Yang","doi":"10.7169/FACM/1913","DOIUrl":"https://doi.org/10.7169/FACM/1913","url":null,"abstract":"This note answers, and generalizes, a question of Kaisa Matomaki. We show that give two cuspidal automorphic representations $pi_1$ and $pi_2$ of $GL_n$ over a number field $F$ of respective conductor $N_1,$ $N_2,$ every character $chi$ such that $pi_1otimeschisimeqpi_2$ of conductor $Q,$ satisfies the bound: $Q^nmid N_1N_2.$ If at every finite place $v,$ $pi_{1,v}$ is a discrete series whenever it is ramified, then $Q^n$ divides the least common multiple $[N_1, N_2].$","PeriodicalId":44655,"journal":{"name":"FUNCTIONES ET APPROXIMATIO COMMENTARII MATHEMATICI","volume":" ","pages":""},"PeriodicalIF":0.5,"publicationDate":"2019-06-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44514141","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 integrality properties of hypergeometric series 超几何级数的完整性性质
IF 0.5
FUNCTIONES ET APPROXIMATIO COMMENTARII MATHEMATICI Pub Date : 2019-05-08 DOI: 10.7169/FACM/1843
A. Adolphson, S. Sperber
{"title":"On integrality properties of hypergeometric series","authors":"A. Adolphson, S. Sperber","doi":"10.7169/FACM/1843","DOIUrl":"https://doi.org/10.7169/FACM/1843","url":null,"abstract":"Let $A$ be a set of $N$ vectors in ${mathbb Z}^n$ and let $v$ be a vector in ${mathbb C}^N$ that has minimal negative support for $A$. Such a vector $v$ gives rise to a formal series solution of the $A$-hypergeometric system with parameter $beta=Av$. If $v$ lies in ${mathbb Q}^n$, then this series has rational coefficients. Let $p$ be a prime number. We characterize those $v$ whose coordinates are rational, $p$-integral, and lie in the closed interval $[-1,0]$ for which the corresponding normalized series solution has $p$-integral coefficients. From this we deduce further integrality results for hypergeometric series.","PeriodicalId":44655,"journal":{"name":"FUNCTIONES ET APPROXIMATIO COMMENTARII MATHEMATICI","volume":" ","pages":""},"PeriodicalIF":0.5,"publicationDate":"2019-05-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46561057","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 linear twist of degree $1$ functions in the extended Selberg class 关于扩展Selberg类中阶$1$函数的线性扭曲
IF 0.5
FUNCTIONES ET APPROXIMATIO COMMENTARII MATHEMATICI Pub Date : 2019-03-14 DOI: 10.7169/facm/1801
Giamila Zaghloul
{"title":"On the linear twist of degree $1$ functions in the extended Selberg class","authors":"Giamila Zaghloul","doi":"10.7169/facm/1801","DOIUrl":"https://doi.org/10.7169/facm/1801","url":null,"abstract":"Given a degree 1 function $Finmathcal{S}^{sharp}$ and a real number $alpha$, we consider the linear twist $F(s,alpha)$, proving that it satisfies a functional equation reflecting $s$ into $1-s$, which can be seen as a Hurwitz-Lerch type of functional equation. We also derive some results on the distribution of the zeros of the linear twist.","PeriodicalId":44655,"journal":{"name":"FUNCTIONES ET APPROXIMATIO COMMENTARII MATHEMATICI","volume":" ","pages":""},"PeriodicalIF":0.5,"publicationDate":"2019-03-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46591765","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
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