Pub Date : 1992-06-30DOI: 10.1070/IM1992V038N03ABEH002213
P. Naumkin, I. A. Shishmarev
The asymptotics as is found for solutions of the Cauchy problem for a system of equations of surface waves with dissipation.
给出了具有耗散的表面波方程组的柯西问题解的渐近性。
{"title":"ASYMPTOTICS FOR LARGE TIME OF SOLUTIONS OF A SYSTEM OF EQUATIONS FOR SURFACE WAVES","authors":"P. Naumkin, I. A. Shishmarev","doi":"10.1070/IM1992V038N03ABEH002213","DOIUrl":"https://doi.org/10.1070/IM1992V038N03ABEH002213","url":null,"abstract":"The asymptotics as is found for solutions of the Cauchy problem for a system of equations of surface waves with dissipation.","PeriodicalId":159459,"journal":{"name":"Mathematics of The Ussr-izvestiya","volume":"5 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":"122323195","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}
Pub Date : 1992-06-30DOI: 10.1070/IM1992V038N03ABEH002216
A. Tyurin
A twistor description of the Weil-Petersson metric on the moduli space of stable vector bundles on a K3-surface with hyper-Kahler structure is given, and this metric is extended to the compactification of the moduli space by torsion-free sheaves.
{"title":"The Weil-Petersson Metric on the Moduli Space of Stable Vector Bundles and Sheaves on AN Algebraic Surface","authors":"A. Tyurin","doi":"10.1070/IM1992V038N03ABEH002216","DOIUrl":"https://doi.org/10.1070/IM1992V038N03ABEH002216","url":null,"abstract":"A twistor description of the Weil-Petersson metric on the moduli space of stable vector bundles on a K3-surface with hyper-Kahler structure is given, and this metric is extended to the compactification of the moduli space by torsion-free sheaves.","PeriodicalId":159459,"journal":{"name":"Mathematics of The Ussr-izvestiya","volume":"37 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":"121644059","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}
Pub Date : 1992-06-30DOI: 10.1070/IM1992V038N03ABEH002221
K. M. Éminyan
This paper is concerned with the question of the average value of the function τ(n), the number of divisors of n, for some special sequences of natural numbers.
本文研究了某些特殊自然数序列的函数τ(n)的平均值，即n的因数数的问题。
{"title":"ON THE DIRICHLET DIVISOR PROBLEM IN SOME SEQUENCES OF NATURAL NUMBERS","authors":"K. M. Éminyan","doi":"10.1070/IM1992V038N03ABEH002221","DOIUrl":"https://doi.org/10.1070/IM1992V038N03ABEH002221","url":null,"abstract":"This paper is concerned with the question of the average value of the function τ(n), the number of divisors of n, for some special sequences of natural numbers.","PeriodicalId":159459,"journal":{"name":"Mathematics of The Ussr-izvestiya","volume":"50 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":"130696133","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}
Pub Date : 1992-06-30DOI: 10.1070/IM1992V038N03ABEH002219
Yu. G. Zarkhin
The author studies abelian varieties with infinite torsion in infinite extensions L of a number field K for which the Galois group Gal(L/K) is a compact l-adic Lie group.
{"title":"TORSION AND ENDOMORPHISMS OF ABELIAN VARIETIES OVER INFINITE EXTENSIONS OF NUMBER FIELDS","authors":"Yu. G. Zarkhin","doi":"10.1070/IM1992V038N03ABEH002219","DOIUrl":"https://doi.org/10.1070/IM1992V038N03ABEH002219","url":null,"abstract":"The author studies abelian varieties with infinite torsion in infinite extensions L of a number field K for which the Galois group Gal(L/K) is a compact l-adic Lie group.","PeriodicalId":159459,"journal":{"name":"Mathematics of The Ussr-izvestiya","volume":"22 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":"123721323","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}
Pub Date : 1992-06-30DOI: 10.1070/IM1992V039N03ABEH002245
D. Fofana
Some exact solutions are found for a system of two nonlinear equations admitting a Lax representation. The dynamics of the scattering data of a fourth-order operator of a special form is indicated, and the system is shown to possess a countable set of first integrals.
{"title":"AN INTEGRABLE SYSTEM EXTENDING THE KORTEWEG-DE VRIES EQUATION","authors":"D. Fofana","doi":"10.1070/IM1992V039N03ABEH002245","DOIUrl":"https://doi.org/10.1070/IM1992V039N03ABEH002245","url":null,"abstract":"Some exact solutions are found for a system of two nonlinear equations admitting a Lax representation. The dynamics of the scattering data of a fourth-order operator of a special form is indicated, and the system is shown to possess a countable set of first integrals.","PeriodicalId":159459,"journal":{"name":"Mathematics of The Ussr-izvestiya","volume":"117 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":"115819492","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}
Pub Date : 1992-06-30DOI: 10.1070/IM1992V039N03ABEH002246
T. V. Red'kina
An integrable complexification of the hierarchy of the KdV equation is constructed. A countable set of first integrals is found, along with the evolution of the scattering data for the complexification of the KdV equation obtained in [1]. Hirota's method is used to obtain some exact solutions of this equation. A representation of the complexification of the KdV equation as an equation of zero curvature is indicated. Bibliography: 10 titles.
{"title":"SOME PROPERTIES OF THE COMPLEXIFICATION OF THE KdV EQUATION","authors":"T. V. Red'kina","doi":"10.1070/IM1992V039N03ABEH002246","DOIUrl":"https://doi.org/10.1070/IM1992V039N03ABEH002246","url":null,"abstract":"An integrable complexification of the hierarchy of the KdV equation is constructed. A countable set of first integrals is found, along with the evolution of the scattering data for the complexification of the KdV equation obtained in [1]. Hirota's method is used to obtain some exact solutions of this equation. A representation of the complexification of the KdV equation as an equation of zero curvature is indicated. Bibliography: 10 titles.","PeriodicalId":159459,"journal":{"name":"Mathematics of The Ussr-izvestiya","volume":"20 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":"115556096","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}
Pub Date : 1992-06-30DOI: 10.1070/IM1992V039N03ABEH002241
A. Krivosheev
This paper describes a class of convex compact sets K in Cn having the following uniqueness property: K is the unique support of every analytic functional for which it is a support.
本文描述了Cn中的一类凸紧集K具有以下唯一性:K是它所支持的每一个解析泛函的唯一支撑点。
{"title":"ON THE UNIQUENESS OF SUPPORTS OF ANALYTIC FUNCTIONALS","authors":"A. Krivosheev","doi":"10.1070/IM1992V039N03ABEH002241","DOIUrl":"https://doi.org/10.1070/IM1992V039N03ABEH002241","url":null,"abstract":"This paper describes a class of convex compact sets K in Cn having the following uniqueness property: K is the unique support of every analytic functional for which it is a support.","PeriodicalId":159459,"journal":{"name":"Mathematics of The Ussr-izvestiya","volume":"29 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":"123149003","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}
Pub Date : 1992-06-30DOI: 10.1070/IM1992V038N03ABEH002211
A. A. Karatsuba
Theorems are proved on the number of zeros of linear combinations of Dirichlet L-functions that lie on intervals of the critical line.
证明了Dirichlet l -函数在临界线区间上的线性组合的0个数。
{"title":"ON THE ZEROS OF A SPECIAL TYPE OF FUNCTION CONNECTED WITH DIRICHLET SERIES","authors":"A. A. Karatsuba","doi":"10.1070/IM1992V038N03ABEH002211","DOIUrl":"https://doi.org/10.1070/IM1992V038N03ABEH002211","url":null,"abstract":"Theorems are proved on the number of zeros of linear combinations of Dirichlet L-functions that lie on intervals of the critical line.","PeriodicalId":159459,"journal":{"name":"Mathematics of The Ussr-izvestiya","volume":"52 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":"132315197","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}
Pub Date : 1992-06-30DOI: 10.1070/IM1992V038N03ABEH002209
O. Bogoyavlenskii
A method for constructing the systems of hydrodynamic type having a number of Riemann invariants is indicated. The method is based on a new differential equation in a space of linear operators. The systems of hydrodynamic type naturally connected with the Volterra model and the Toda lattice are constructed. Their continuous limits are found, the equation (see [1] and [2]) of interaction between Riemann breaking waves and transversal long waves is among them. The equations for self-similar solutions of homogeneous systems of hydrodynamic type are derived.
{"title":"BREAKING SOLITONS. V. SYSTEMS OF HYDRODYNAMIC TYPE","authors":"O. Bogoyavlenskii","doi":"10.1070/IM1992V038N03ABEH002209","DOIUrl":"https://doi.org/10.1070/IM1992V038N03ABEH002209","url":null,"abstract":"A method for constructing the systems of hydrodynamic type having a number of Riemann invariants is indicated. The method is based on a new differential equation in a space of linear operators. The systems of hydrodynamic type naturally connected with the Volterra model and the Toda lattice are constructed. Their continuous limits are found, the equation (see [1] and [2]) of interaction between Riemann breaking waves and transversal long waves is among them. The equations for self-similar solutions of homogeneous systems of hydrodynamic type are derived.","PeriodicalId":159459,"journal":{"name":"Mathematics of The Ussr-izvestiya","volume":"13 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":"127941253","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}
Pub Date : 1992-06-30DOI: 10.1070/IM1992V039N03ABEH002239
Yu. N. Drozhzhinov, B. I. Zav’yalov
Complex-valued admissible and completely admissible functions on a cone are considered. It is proved that holomorphic functions having nonnegative real part (bounded argument) are admissible. These functions are used as comparison functions in multidimensional Tauberian theorems for generalized functions.
{"title":"MULTIDIMENSIONAL TAUBERIAN COMPARISON THEOREMS FOR HOLOMORPHIC FUNCTIONS OF BOUNDED ARGUMENT","authors":"Yu. N. Drozhzhinov, B. I. Zav’yalov","doi":"10.1070/IM1992V039N03ABEH002239","DOIUrl":"https://doi.org/10.1070/IM1992V039N03ABEH002239","url":null,"abstract":"Complex-valued admissible and completely admissible functions on a cone are considered. It is proved that holomorphic functions having nonnegative real part (bounded argument) are admissible. These functions are used as comparison functions in multidimensional Tauberian theorems for generalized functions.","PeriodicalId":159459,"journal":{"name":"Mathematics of The Ussr-izvestiya","volume":"1 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":"122796392","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}
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