Паршин, А. НOverview
Most widely held works by
А. Н Паршин
Number theory II : algebraic number theory
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Book
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17 editions published in 1992 in English and held by 295 WorldCat member libraries worldwide
Number theory I : fundamental problems, ideas and theories
by I︠U︡. I Manin
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Book
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15 editions published between 1992 and 1995 in English and held by 285 WorldCat member libraries worldwide This book surveys from a unified point of view both the modern state and the trends of continuing development of various branches of number theory. Motivated by elementary problems (including some modern areas such as cryptography, factorization and primality testing), the central ideas of modern theories are exposed: algebraic number theory, calculations and properties of Galois groups, nonAbelian generalizations of class field theory, recursive computability and links with Diophantine equations, the arithmetic of algebraic varieties, connections with modular forms, zeta and Lfunctions. The authors have tried to present the most significant results and methods of modern time. An overview of the major conjectures is also given in order to illustrate current thinking in number theory. Most of these conjectures are based on analogies between functions and numbers, and on connections with other branches of mathematics such as algebraic topology, analysis, representation theory and geometry
Algebraic geometry IV : linear algebraic groups, invariant theory
by A. N Parshin
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Book
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15 editions published between 1994 and 2009 in English and held by 273 WorldCat member libraries worldwide This volume of the Encyclopaedia contains two contributions on closely related subjects: the theory of linear algebraic groups and invariant theory. The first part is written by T.A. Springer, a wellknown expert in the first mentioned field. He presents a comprehensive survey, which contains numerous sketched proofs and he discusses the particular features of algebraic groups over special fields (finite, local, and global). The authors of part two, E.B. Vinberg and V.L. Popov, are among the most active researchers in invariant theory. The last 20 years have been a period of vigorous development in this field due to the influence of modern methods from algebraic geometry. The book will be very useful as a reference and research guide to graduate students and researchers in mathematics and theoretical physics
Algebra VII : combinatorial group theory, applications to geometry
by A. N Parshin
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Book
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13 editions published between 1991 and 1993 in English and held by 268 WorldCat member libraries worldwide
Algebraic geometry III : complex algebraic varieties, algebraic curves and their Jacobians
by Viktor S Kulikov
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Book
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9 editions published in 1998 in English and held by 233 WorldCat member libraries worldwide The first contribution of this EMS volume on the subject of complex algebraic geometry touches upon many of the central problems in this vast and very active area of current research. While it is much too short to provide complete coverage of this subject, it provides a succinct summary of the areas it covers, while providing indepth coverage of certain very important fields  some examples of the fields treated in greater detail are theorems of Torelli type, K3 surfaces, variation of Hodge structures and degenerations of algebraic varieties. The second part provides a brief and lucid introduction to the recent work on the interactions between the classical area of the geometry of complex algebraic curves and their Jacobian varieties, and partial differential equations of mathematical physics. The paper discusses the work of Mumford, Novikov, Krichever, and Shiota, and would be an excellent companion to the older classics on the subject by Mumford
Number theory IV : transcendental numbers
by I. R Shafarevich
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Book
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11 editions published between 1998 and 2011 in English and held by 230 WorldCat member libraries worldwide This book is a survey of the most important directions of research in transcendental number theory. The central topics in this theory include proofs of irrationality and transcendence of various numbers, especially those that arise as the values of special functions. Questions of this sort go back to ancient times. An example is the old problem of squaring the circle, which Lindemann showed to be impossible in 1882, when he proved that $Öpi$ is a transcendental number. Euler's conjecture that the logarithm of an algebraic number to an algebraic base is transcendental was included in Hilbert's famous list of open problems; this conjecture was proved by Gel'fond and Schneider in 1934. A more recent result was ApÖ'ery's surprising proof of the irrationality of $Özeta(3)$ in 1979. The quantitative aspects of the theory have important applications to the study of Diophantine equations and other areas of number theory. For a reader interested in different branches of number theory, this monograph provides both an overview of the central ideas and techniques of transcendental number theory, and also a guide to the most important results
Algebraic number theory and algebraic geometry : papers dedicated to A.N. Parshin on the occasion of his sixtieth birthday
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Book
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4 editions published in 2002 in English and held by 202 WorldCat member libraries worldwide
Algebraic geometry V : fano varieties
by Vasilij Alekseevič Iskovskih
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Book
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11 editions published between 1998 and 2010 in English and held by 190 WorldCat member libraries worldwide
Algebra and analysis : proceedings of the International Centennial Chebotarev Conference held in Kazan, Russia, June 511, 1994
by International Centennial Chebotarev Conference
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Book
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4 editions published in 1996 in English and held by 70 WorldCat member libraries worldwide
Algebra
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Book
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3 editions published in 1990 in English and held by 45 WorldCat member libraries worldwide
Algebraic geometry
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Book
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8 editions published between 1994 and 1998 in English and held by 20 WorldCat member libraries worldwide
Number theory
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Book
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6 editions published between 1992 and 1995 in English and held by 19 WorldCat member libraries worldwide
Algebraic curves, algebraic manifolds and schemes
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Book
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1 edition published in 1994 in English and held by 18 WorldCat member libraries worldwide
Seminar Russkai︠a︡ filosofii︠a︡: tradit︠s︡ii︠a︡ i sovremennostʹ : 20042009
by Seminar "Russkai︠a︡ filosofii︠a︡: tradit︠s︡ii︠a︡ i sovremennostʹ"
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Book
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1 edition published in 2011 in Russian and held by 14 WorldCat member libraries worldwide
Transcendental numbers
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Book
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2 editions published in 1998 in English and held by 11 WorldCat member libraries worldwide
Complex algebraic varieties ; Algebraic curves and their Jacobians
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Book
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2 editions published in 1998 in English and held by 10 WorldCat member libraries worldwide
Linear algebraic groups ; Invariant theory
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Book
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2 editions published in 1994 in English and held by 9 WorldCat member libraries worldwide
Putʹ : matematika i drugie miry
by A. N Parshin
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Book
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2 editions published in 2002 in Russian and held by 8 WorldCat member libraries worldwide
Pavel Aleksandrovich Florenskiĭ
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Book
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2 editions published in 2013 in Russian and held by 7 WorldCat member libraries worldwide
Number theory, algebra, and analysis : collected papers dedicated to Professor Anatolii Alekseevich Karatsuba on the occasion of his 75th birthday
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Book
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1 edition published in 2012 in English and held by 6 WorldCat member libraries worldwide more
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Algebra Algebraic number theory Algebraic varieties Combinatorial group theory Curves, Algebraic Data encryption (Computer science) Geometric group theory Geometry, Algebraic Global analysis (Mathematics) Hodge theory Invariants Jacobians Linear algebraic groups Logic, Symbolic and mathematical Manifolds (Mathematics) Mathematical analysis Mathematical physics Mathematics Noncommutative rings Number theory Philosophy Philosophy, Russian Religion and science Russia Schemes (Algebraic geometry) SciencePhilosophy Topological groups Transcendental numbers

Alternative Names
Parshin, A. N.
Parshin, A.N., 1942
Parshin, Alekseĭ Nikolaevich
Parshin, Aleksey Nikolaevich
Parshin, Aleksey Nikolaevich 1942
Parshin, Alexei N.
Parshin, Alexei Nikolaevich
Paršin, A. N. 1942
Paršin, Aleksej N. 1942
Pars̆in, Alexej Nikolaevic̆
Паршин, Алексей Николаевич
Паршин, Алексей Николаевич, 1942....
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