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Publications De L'institut Mathematique最新文献

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Symmetries of conservation laws 守恒定律的对称性
Publications De L'institut Mathematique Pub Date : 2007-02-18 DOI: 10.2298/PIM0591029K
S. Konjik
{"title":"Symmetries of conservation laws","authors":"S. Konjik","doi":"10.2298/PIM0591029K","DOIUrl":"https://doi.org/10.2298/PIM0591029K","url":null,"abstract":"We apply techniques of symmetry group analysis in solving two systems of conservation laws: a model of two strictly hyperbolic conservation laws and a zero pressure gas dynamics model, which both have no global so- lution, but whose solution consists of singular shock waves. We show that these shock waves are solutions in the sense of 1-strong association. Also, we compute all projectable symmetry groups and show that they are 1-strongly associated, hence transform existing solutions in the sense of 1-strong associ- ation into other solutions.","PeriodicalId":416273,"journal":{"name":"Publications De L'institut Mathematique","volume":"1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2007-02-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"115523861","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
SUMS OF LIKE POWERS AND SOME DENSE SETS 类幂和与密集集的和
Publications De L'institut Mathematique Pub Date : 2006-09-08 DOI: 10.2298/PIM0795045M
Z. Mijajlovic, Milos Milosevic, A. Perović
{"title":"SUMS OF LIKE POWERS AND SOME DENSE SETS","authors":"Z. Mijajlovic, Milos Milosevic, A. Perović","doi":"10.2298/PIM0795045M","DOIUrl":"https://doi.org/10.2298/PIM0795045M","url":null,"abstract":"We introduce the notion of the P -sequences and apply their prop- erties in studying representability of real numbers. Another application of P -sequences we find in generating the Prouhet-Tarry-Escott pairs.","PeriodicalId":416273,"journal":{"name":"Publications De L'institut Mathematique","volume":"39 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2006-09-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"124672557","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
CONVOLUTIONS AND MEAN SQUARE ESTIMATES OF CERTAIN NUMBER-THEORETIC ERROR TERMS 某些数论误差项的卷积和均方估计
Publications De L'institut Mathematique Pub Date : 2005-12-14 DOI: 10.2298/PIM0694141I
A. Ivic
{"title":"CONVOLUTIONS AND MEAN SQUARE ESTIMATES OF CERTAIN NUMBER-THEORETIC ERROR TERMS","authors":"A. Ivic","doi":"10.2298/PIM0694141I","DOIUrl":"https://doi.org/10.2298/PIM0694141I","url":null,"abstract":"We study the convolution function C[f(x)]:=int_1^x f(y)fBigl(frac xyBigr)frac{dy}y When f(x) is a suitable number-theoretic error term. Asymptotics and upper bounds for C[f(x)] are derived from mean square bounds for f(x). Some applications are given, in particular to |zeta(tfrac12+ix)|^{2k} and the classical Rankin--Selberg problem from analytic number theory.","PeriodicalId":416273,"journal":{"name":"Publications De L'institut Mathematique","volume":"21 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2005-12-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"127663305","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: 5
A general strong Nyman-Beurling criterion for the Riemann hypothesis 黎曼假设的一般强尼曼-伯林判据
Publications De L'institut Mathematique Pub Date : 2005-05-22 DOI: 10.2298/PIM0578117B
L. Báez-Duarte
{"title":"A general strong Nyman-Beurling criterion for the Riemann hypothesis","authors":"L. Báez-Duarte","doi":"10.2298/PIM0578117B","DOIUrl":"https://doi.org/10.2298/PIM0578117B","url":null,"abstract":"For each [FORMULA] formally consider its Miintz transform [FORMULA]. For certain ƒ's with both [FORMULA] it is true that the Riemann hypothesis holds if and only if ƒ is in the L2 closure of the vector space generated by the dilations [FORMULA]. Such is the case for example when ƒ = X(0,1) where the above statement reduces to the strong Nyman criterion already established by the author. In this note we show that the necessity implication holds for any continuously differentiable function ƒ vanishing at infinity and satisfying [FORMULA]. If in addition ƒ is of compact support, then the sufficiency implication also holds true. It would be convenient to remove this compactness condition .","PeriodicalId":416273,"journal":{"name":"Publications De L'institut Mathematique","volume":"82 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2005-05-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"126466215","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
Coherence of Proof-Net Categories Proof-Net类别的一致性
Publications De L'institut Mathematique Pub Date : 2005-03-01 DOI: 10.2298/PIM0578001D
K. Dosen, Z. Petric
{"title":"Coherence of Proof-Net Categories","authors":"K. Dosen, Z. Petric","doi":"10.2298/PIM0578001D","DOIUrl":"https://doi.org/10.2298/PIM0578001D","url":null,"abstract":"The notion of proof-net category defined in this paper is closely related to graphs implicit in proof nets for the multiplicative fragment without constant propositions of linear logic. Analogous graphs occur in Kelly's and Mac Lane's coherence theorem for symmetric monoidal closed categories. A coherence theorem with respect to these graphs is proved for proof-net cat- egories. Such a coherence theorem is also proved in the presence of arrows corresponding to the mix principle of linear logic. The notion of proof-net cat- egory catches the unit free fragment of the notion of star-autonomous category, a special kind of symmetric monoidal closed category.","PeriodicalId":416273,"journal":{"name":"Publications De L'institut Mathematique","volume":"69 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2005-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"128699126","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: 6
ON THE DISTRIBUTION OF M-TUPLES OF B-NUMBERS 关于b数的m元组的分布
Publications De L'institut Mathematique Pub Date : 2004-10-01 DOI: 10.2298/PIM0591071N
W. Nowak
{"title":"ON THE DISTRIBUTION OF M-TUPLES OF B-NUMBERS","authors":"W. Nowak","doi":"10.2298/PIM0591071N","DOIUrl":"https://doi.org/10.2298/PIM0591071N","url":null,"abstract":"In the classical sense, the set B consists of all integers which can be written as a sum of two perfect squares. In other words, these are the values attained by norms of integral ideals over the Gaussian field Q(i). G. J. Rieger (1965) and T. Cochrane, R. E. Dressler (1987) established bounds for the number of pairs (n; n + h), resp., triples (n; n + 1; n + 2) of B-numbers up to a large real parameter x. The present article generalizes these investigations into two directions: The result obtained deals with arbitrary M-tuples of arithmetic progressions of positive integers excluding the trivial case that one of them is a constant multiple of one of the others. Furthermore, the estimate applies to the case of an arbitrary normal extension K of the rational field instead of Q(i).","PeriodicalId":416273,"journal":{"name":"Publications De L'institut Mathematique","volume":"100 ","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2004-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"113981460","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: 6
On summatory functions of additive functions and regular variation 加性函数和正则变分的求和函数
Publications De L'institut Mathematique Pub Date : 2003-11-20 DOI: 10.2298/PIM0271027I
A. Ivi'c
{"title":"On summatory functions of additive functions and regular variation","authors":"A. Ivi'c","doi":"10.2298/PIM0271027I","DOIUrl":"https://doi.org/10.2298/PIM0271027I","url":null,"abstract":"An overview of results and problems concerning the asymptotic behaviour for summatory functions of a certain class of additive functions is given. The class of functions in question involves regular variation. Some new Abelian and Tauberian results for additive functions of the form F(n)=Sigma ah(p), p^alpha||n, are obtained. .","PeriodicalId":416273,"journal":{"name":"Publications De L'institut Mathematique","volume":"47 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2003-11-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"129485601","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
A multiple sum involving the Möbius function. 包含Möbius函数的多重和。
Publications De L'institut Mathematique Pub Date : 2003-10-06 DOI: 10.2298/PIM0476031M
Y. Motohashi
{"title":"A multiple sum involving the Möbius function.","authors":"Y. Motohashi","doi":"10.2298/PIM0476031M","DOIUrl":"https://doi.org/10.2298/PIM0476031M","url":null,"abstract":"We consider a multiple arithmetical sum involving the Mobius function which despite its elementary appearance is in fact of a highly intriguing nature. We establish an asymptotic formula for the quadruple case that raises the first genuinely non-trivial situation. This is a rework of an old unpublished note of ours.","PeriodicalId":416273,"journal":{"name":"Publications De L'institut Mathematique","volume":"16 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2003-10-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"132380032","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: 7
Verification of Atiyah's conjecture for some nonplanar configurations with dihedral symmetry 一些具有二面体对称的非平面构型的Atiyah猜想的验证
Publications De L'institut Mathematique Pub Date : 2002-08-01 DOI: 10.2298/PIM0272023D
D. Djoković
{"title":"Verification of Atiyah's conjecture for some nonplanar configurations with dihedral symmetry","authors":"D. Djoković","doi":"10.2298/PIM0272023D","DOIUrl":"https://doi.org/10.2298/PIM0272023D","url":null,"abstract":"To an ordered TV-tuple of distinct points in the three-dimensional Euclidean space, Atiyah has associated an ordered TV-tuple of complex homogeneous polynomials in two variables of degree N - 1, each determined only up to a scalar factor. He has conjectured that these polynomials are linearly independent. In this note it is shown that Atiyah's conjecture is true if m of the points are on a line L and the remaining n = N - m points are the vertices of a regular n-gon whose plane is perpendicular to L and whose centroid lies on L.","PeriodicalId":416273,"journal":{"name":"Publications De L'institut Mathematique","volume":"26 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2002-08-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"125420389","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: 13
Tauberian retrieval theory 陶伯利检索理论
Publications De L'institut Mathematique Pub Date : 1900-01-01 DOI: 10.2298/PIM0271105S
Č. V. Stanojević, Vera B. Stanojević
{"title":"Tauberian retrieval theory","authors":"Č. V. Stanojević, Vera B. Stanojević","doi":"10.2298/PIM0271105S","DOIUrl":"https://doi.org/10.2298/PIM0271105S","url":null,"abstract":"Karamata's Hauptsatz [11] and its corollary is the main tool for convergence recovery from Abel's necessary conditions and the control of oscillatory behavior of limiting processes. By modifying the basic discovery from [11], relaxing Abel's necessary conditions and lightening the control of oscillatory behavior an extended Tauberian theory is outlined. This theory goes beyond convergence recovery. It retrieves various kinds of moderate divergence. .","PeriodicalId":416273,"journal":{"name":"Publications De L'institut Mathematique","volume":"45 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"114985837","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: 25
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