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MULTIPLICATIVE FUNCTIONS ON THE SET OF SHIFTED PRIME NUMBERS 移位素数集合上的乘法函数
Mathematics of The Ussr-izvestiya Pub Date : 1992-06-30 DOI: 10.1070/IM1992V039N03ABEH002243
N. M. Timofeev
{"title":"MULTIPLICATIVE FUNCTIONS ON THE SET OF SHIFTED PRIME NUMBERS","authors":"N. M. Timofeev","doi":"10.1070/IM1992V039N03ABEH002243","DOIUrl":"https://doi.org/10.1070/IM1992V039N03ABEH002243","url":null,"abstract":"This paper is concerned with the behavior of multiplicative functions on the set , where is a prime and is a nonzero integer. Several results are obtained in which either the average value of a multiplicative function on this set is estimated or its asymptotic behavior is determined. As one application a nontrivial estimate of is found, where , is a sufficiently large prime, and is a character of degree greater than 4.","PeriodicalId":159459,"journal":{"name":"Mathematics of The Ussr-izvestiya","volume":"23 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1992-06-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"132629718","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: 8
PIECEWISE MONOTONIC FUNCTIONS OF SEVERAL VARIABLES AND A THEOREM OF HARDY AND LITTLEWOOD 多元的分段单调函数及hardy和littlewood定理
Mathematics of The Ussr-izvestiya Pub Date : 1992-06-30 DOI: 10.1070/IM1992V039N03ABEH002240
M. I. D’yachenko
{"title":"PIECEWISE MONOTONIC FUNCTIONS OF SEVERAL VARIABLES AND A THEOREM OF HARDY AND LITTLEWOOD","authors":"M. I. D’yachenko","doi":"10.1070/IM1992V039N03ABEH002240","DOIUrl":"https://doi.org/10.1070/IM1992V039N03ABEH002240","url":null,"abstract":"The author discusses classes of periodic functions of variables that are either piecewise monotonic or piecewise monotonic in the sense of Hardy, and clarifies the connections, for such functions, between the property of belonging to space, , and the convergence of series of their trigonometric Fourier coefficients, We establish the existence, when 1$ SRC=http://ej.iop.org/images/0025-5726/39/3/A02/tex_im_2240_img5.gif/>, of certain results that differ from the one-dimensional case.","PeriodicalId":159459,"journal":{"name":"Mathematics of The Ussr-izvestiya","volume":"27 7","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1992-06-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"132653406","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
SIMULTANEOUS APPROXIMATION OF THE SOLUTION AND ITS DERIVATIVES IN A BOUNDARY VALUE PROBLEM FOR A LINEAR DIFFERENTIAL EQUATION WITH POLYNOMIAL COEFFICIENTS 多项式系数线性微分方程边值问题解及其导数的同时逼近
Mathematics of The Ussr-izvestiya Pub Date : 1992-06-01 DOI: 10.1070/IM1992V038N03ABEH002214
E. S. Sinaiskii
{"title":"SIMULTANEOUS APPROXIMATION OF THE SOLUTION AND ITS DERIVATIVES IN A BOUNDARY VALUE PROBLEM FOR A LINEAR DIFFERENTIAL EQUATION WITH POLYNOMIAL COEFFICIENTS","authors":"E. S. Sinaiskii","doi":"10.1070/IM1992V038N03ABEH002214","DOIUrl":"https://doi.org/10.1070/IM1992V038N03ABEH002214","url":null,"abstract":"The author investigates an algorithm for the construction of a polynomial that realizes the simultaneous approximation of the solution of a boundary value problem and its derivatives with the same rapidity of decrease of the error as for the case of the best uniform polynomial approximation of the function on an interval.","PeriodicalId":159459,"journal":{"name":"Mathematics of The Ussr-izvestiya","volume":"100 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1992-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"128192279","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
ADDITIONS AND CORRECTIONS TO THE PAPER “ISOTRIVIAL FAMILIES OF CURVES ON AFFINE SURFACES AND CHARACTERIZATION OF THE AFFINE PLANE” 对“仿射曲面上曲线的等平凡族和仿射平面的表征”一文的补充和修正
Mathematics of The Ussr-izvestiya Pub Date : 1992-04-30 DOI: 10.1070/IM1992V038N02ABEH002208
M. Zaidenberg
{"title":"ADDITIONS AND CORRECTIONS TO THE PAPER “ISOTRIVIAL FAMILIES OF CURVES ON AFFINE SURFACES AND CHARACTERIZATION OF THE AFFINE PLANE”","authors":"M. Zaidenberg","doi":"10.1070/IM1992V038N02ABEH002208","DOIUrl":"https://doi.org/10.1070/IM1992V038N02ABEH002208","url":null,"abstract":"","PeriodicalId":159459,"journal":{"name":"Mathematics of The Ussr-izvestiya","volume":"5 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1992-04-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"127958507","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 GROUPS ALL OF WHOSE PROPER SUBGROUPS ARE FINITE CYCLIC 在所有其固有子群是有限循环的群上
Mathematics of The Ussr-izvestiya Pub Date : 1992-04-30 DOI: 10.1070/IM1992V039N02ABEH002232
S. I. Adyan, I. G. Lysënok
{"title":"ON GROUPS ALL OF WHOSE PROPER SUBGROUPS ARE FINITE CYCLIC","authors":"S. I. Adyan, I. G. Lysënok","doi":"10.1070/IM1992V039N02ABEH002232","DOIUrl":"https://doi.org/10.1070/IM1992V039N02ABEH002232","url":null,"abstract":"For any odd number n≥1003, the authors construct an infinite 2-generator group each of whose proper subgroups is contained in a cyclic subgroup of order n. This result strengthens analogous results of Ol'shanskiĭ for prime n>1075 and Atabekyan and Ivanov for odd n>1080. The proof is carried out in the original language of Novikov-Adyan theory. Bibliography: 6 titles.","PeriodicalId":159459,"journal":{"name":"Mathematics of The Ussr-izvestiya","volume":"172 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1992-04-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"115231618","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: 46
BREAKING SOLITONS. VI. EXTENSION OF SYSTEMS OF HYDRODYNAMIC TYPE 打破孤立子。六、水动力型系统的扩展
Mathematics of The Ussr-izvestiya Pub Date : 1992-04-30 DOI: 10.1070/IM1992V039N02ABEH002233
O. Bogoyavlenskii
{"title":"BREAKING SOLITONS. VI. EXTENSION OF SYSTEMS OF HYDRODYNAMIC TYPE","authors":"O. Bogoyavlenskii","doi":"10.1070/IM1992V039N02ABEH002233","DOIUrl":"https://doi.org/10.1070/IM1992V039N02ABEH002233","url":null,"abstract":"Systems of differential equations, admitting the Lax representation and extending the systems of hydrodynamic type, connected with the Volterra model and Toda lattice, are presented. A construction of differential operator equations with derivatives of arbitrary order with respect to the variables t and y and possessing a reduction preserving the eigenvalues of the corresponding operator L is suggested. Dynamical systems having a Lax representation and generalizing the Toda lattice are constructed. A construction of integrable Euler equations admitting a Lax representation with n independent spectral parameters and connected with n Riemann surfaces is found.","PeriodicalId":159459,"journal":{"name":"Mathematics of The Ussr-izvestiya","volume":"16 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1992-04-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"124108875","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
DIFFERENTIATION ALGORITHM AND CLASSIFICATION OF REPRESENTATIONS 表征的微分算法与分类
Mathematics of The Ussr-izvestiya Pub Date : 1992-04-30 DOI: 10.1070/IM1992V039N02ABEH002234
A. G. Zavadskii
{"title":"DIFFERENTIATION ALGORITHM AND CLASSIFICATION OF REPRESENTATIONS","authors":"A. G. Zavadskii","doi":"10.1070/IM1992V039N02ABEH002234","DOIUrl":"https://doi.org/10.1070/IM1992V039N02ABEH002234","url":null,"abstract":"A complete classification of the indecomposable representations of partially ordered sets of finite growth is given.","PeriodicalId":159459,"journal":{"name":"Mathematics of The Ussr-izvestiya","volume":"72 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1992-04-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"126167480","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: 12
DEFORMATIONS OF INSTANTON SURFACES 瞬态曲面的变形
Mathematics of The Ussr-izvestiya Pub Date : 1992-04-30 DOI: 10.1070/IM1992V038N02ABEH002201
V. Pidstrigach
{"title":"DEFORMATIONS OF INSTANTON SURFACES","authors":"V. Pidstrigach","doi":"10.1070/IM1992V038N02ABEH002201","DOIUrl":"https://doi.org/10.1070/IM1992V038N02ABEH002201","url":null,"abstract":"A solution is given for the problem of determining smoothness invariants on an algebraic surface from a nonsmooth compact moduli space of instantons. For this a study is made of the deformation of the instanton surface. The results are used to distinguish smoothness on certain algebraic surfaces.","PeriodicalId":159459,"journal":{"name":"Mathematics of The Ussr-izvestiya","volume":"71 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1992-04-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"128670434","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
DESCRIPTION OF THE GENERAL FORM OF NONTRIVIAL EXPANSIONS OF ZERO IN EXPONENTIALS. APPLICATIONS 描述指数中零的非平凡展开式的一般形式。应用程序
Mathematics of The Ussr-izvestiya Pub Date : 1992-04-30 DOI: 10.1070/IM1992V039N02ABEH002235
Y. Korobeinik
{"title":"DESCRIPTION OF THE GENERAL FORM OF NONTRIVIAL EXPANSIONS OF ZERO IN EXPONENTIALS. APPLICATIONS","authors":"Y. Korobeinik","doi":"10.1070/IM1992V039N02ABEH002235","DOIUrl":"https://doi.org/10.1070/IM1992V039N02ABEH002235","url":null,"abstract":"The general form of series in exponentials that converge absolutely to zero in complete, Hausdorff, locally convex function spaces is described. The results are applied to the description of kernels of (scalar and matrix) convolution operators and to solving the factorization problem for convolution operators.","PeriodicalId":159459,"journal":{"name":"Mathematics of The Ussr-izvestiya","volume":"23 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1992-04-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"125922417","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
BIRATIONAL GEOMETRY OF MODULI VARIETIES OF VECTOR BUNDLES OVER $ mathbf P^2$ P^2上向量束的模变的双几何
Mathematics of The Ussr-izvestiya Pub Date : 1992-04-30 DOI: 10.1070/IM1992V038N02ABEH002206
P. Katsylo
{"title":"BIRATIONAL GEOMETRY OF MODULI VARIETIES OF VECTOR BUNDLES OVER $ mathbf P^2$","authors":"P. Katsylo","doi":"10.1070/IM1992V038N02ABEH002206","DOIUrl":"https://doi.org/10.1070/IM1992V038N02ABEH002206","url":null,"abstract":"The fields of rational functions on the moduli varieties of stable (symplectic) vector bundles over the projective plane are described. As a consequence the rationality of some series of moduli varieties is proved.","PeriodicalId":159459,"journal":{"name":"Mathematics of The Ussr-izvestiya","volume":"35 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1992-04-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"126750951","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: 8
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