WorldCat Identities

Panchishkin, A. A. (Alekseĭ Alekseevich)

Overview
Works: 46 works in 128 publications in 2 languages and 2,146 library holdings
Roles: Author, Thesis advisor
Publication Timeline
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Most widely held works by A. A Panchishkin
Introduction to modern number theory : fundamental problems, ideas and theories by Yuri Ivanovic Manin( )

24 editions published between 2005 and 2007 in English and held by 900 WorldCat member libraries worldwide

"Introduction to Modern Number Theory 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, the central ideas of modern theories are exposed. Some topics covered include non-Abelian generalizations of class field theory, recursive computability and Diophantine equations, zeta- and L-functions."--Jacket
Non-Archimedean L-functions of Siegel and Hilbert modular forms by Aleksej A Pančiškin( Book )

17 editions published between 1900 and 2013 in English and Undetermined and held by 423 WorldCat member libraries worldwide

This book is devoted to the arithmetical theory of Siegel modular forms and their L-functions. The central object are L-functions of classical Siegel modular forms whose special values are studied using the Rankin-Selberg method and the action of certain differential operators on modular forms which have nice arithmetical properties. A new method of p-adic interpolation of these critical values is presented. An important class of p-adic L-functions treated in the present book are p-adic L-functions of Siegel modular forms having logarithmic growth (which were first introduced by Amice, Velu and Vishik in the elliptic modular case when they come from a good supersingular reduction of ellptic curves and abelian varieties). The given construction of these p-adic L-functions uses precise algebraic properties of the arihmetical Shimura differential operator. The book could be very useful for postgraduate students and for non-experts giving a quick access to a rapidly developping domain of algebraic number theory: the arithmetical theory of L-functions and modular forms
Non-Archimedean L-functions and arithmetical Siegel modular forms by Michel Courtieu( Book )

17 editions published between 2003 and 2004 in English and held by 386 WorldCat member libraries worldwide

Number theory I : fundamental problems, ideas and theories by I︠U︡. I Manin( Book )

6 editions published between 1992 and 2005 in English and held by 269 WorldCat member libraries worldwide

Introduction to modern number theory : fundamental problems, ideas and theories by Yuri Ivanovic Manin( Book )

1 edition published in 2005 in English and held by 19 WorldCat member libraries worldwide

Introduction to modern number theory : fundamental problems, ideas and theories by Jurij I Manin( Book )

1 edition published in 2007 in English and held by 17 WorldCat member libraries worldwide

Introduction to Modern Number Theory : Fundamental Problems, Ideas and Theories by Yuri Ivanovic Manin( )

2 editions published in 2005 in English and held by 13 WorldCat member libraries worldwide

Non-Archimedean L-functions of Siegel and Hilbert modular forms by Michel Courtieu( )

3 editions published between 1991 and 2004 in English and held by 11 WorldCat member libraries worldwide

Introduction to Modern Number Theory : Fundamental Problems, Ideas and Theories by Yuri Ivanovic Manin( )

2 editions published in 2005 in English and held by 8 WorldCat member libraries worldwide

Non-Archimedean L-function of Siegel and Hilbert modular forms by Alexey A Panchishkin( Book )

1 edition published in 1991 in English and held by 8 WorldCat member libraries worldwide

Non-Archimedean L-functions and arithmetical of Siegel and Hilbert modular forms by Michel Courtieu( Book )

2 editions published in 2004 in English and held by 6 WorldCat member libraries worldwide

Non-archimedean L-functions of Siegel and Hilbert modilar forms by Alexey A Panchishkin( Book )

1 edition published in 1991 in English and held by 6 WorldCat member libraries worldwide

Introduction to modern number theory : fundamental problems, ideas and theories( )

1 edition published in 2005 in English and held by 6 WorldCat member libraries worldwide

Trigonometric functions (Problem-solving approach) by A Panchishkin( Book )

6 editions published in 1988 in English and Undetermined and held by 6 WorldCat member libraries worldwide

Trigonometricheskie funkt︠s︡ii v zadachakh by A. A Panchishkin( Book )

2 editions published in 1986 in Russian and held by 6 WorldCat member libraries worldwide

Trigonometričeskie funkcii v zadačach by Aleksej Alekseevič Pančiškin( Book )

4 editions published in 1986 in Russian and held by 5 WorldCat member libraries worldwide

Introduction to Modern Number Theory : Fundamental Problems, Ideas and Theories by Yuri Ivanovic Manin( )

1 edition published in 2005 in English and held by 5 WorldCat member libraries worldwide

"Introduction to Modern Number Theory" 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, the central ideas of modern theories are exposed. Some topics covered include non-Abelian generalizations of class field theory, recursive computability and Diophantine equations, zeta- and L-functions. This substantially revised and expanded new edition contains several new sections, such as Wiles' proof of Fermat's Last Theorem, and relevant techniques coming from a synthesis of various theories. Moreover, the authors have added a part dedicated to arithmetical cohomology and noncommutative geometry, a report on point counts on varieties with many rational points, the recent polynomial time algorithm for primality testing, and some others subjects. From the reviews of the 2nd edition: "... For my part, I come to praise this fine volume. This book is a highly instructive read ... the quality, knowledge, and expertise of the authors shines through. ... The present volume is almost startlingly up-to-date ..." (A. van der Poorten, Gazette, Australian Math. Soc. 34 (1), 2007)
Motives for absolute Hodge cycles by A. A Panchishkin( Book )

2 editions published in 1992 in English and held by 5 WorldCat member libraries worldwide

Introduction to modern number theory : fundamental problems, ideas and theories by I⁻ŁU. I Manin( )

1 edition published in 2005 in English and held by 4 WorldCat member libraries worldwide

Introduction to Modern Number Theory( )

1 edition published in 2005 in English and held by 4 WorldCat member libraries worldwide

 
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Introduction to modern number theory : fundamental problems, ideas and theories Number theory I : fundamental problems, ideas and theories Introduction to modern number theory : fundamental problems, ideas and theories Introduction to modern number theory : fundamental problems, ideas and theories Introduction to Modern Number Theory : Fundamental Problems, Ideas and Theories Introduction to modern number theory : fundamental problems, ideas and theories
Covers
Non-Archimedean L-functions of Siegel and Hilbert modular formsNon-Archimedean L-functions and arithmetical Siegel modular formsNumber theory I : fundamental problems, ideas and theoriesIntroduction to modern number theory : fundamental problems, ideas and theoriesIntroduction to modern number theory : fundamental problems, ideas and theoriesIntroduction to Modern Number Theory : Fundamental Problems, Ideas and TheoriesNon-Archimedean L-functions and arithmetical of Siegel and Hilbert modular formsIntroduction to modern number theory : fundamental problems, ideas and theories
Alternative Names
Panchishkin, A. 1953-

Panchishkin, A. A.

Panchishkin, A. A. 1953-

Panchishkin, A. A. (Aleksei Alekseevich), 1953-

Panchishkin, Alekseĭ Alekseevich

Panchishkin, Aleksei Alekseevich 1953-

Panchishkin, Alexei.

Panchishkin, Alexei 1953-

Panchishkin, Alexei A.

Panchishkin, Alexei A. 1953-

Panchishkin, Alexej A. 1953-

Panchishkin, Alexey.

Panchishkin, Alexey A.

Panchishkin, Alexey A. 1953-

Panchishkin Alexey Alekseevich

Panchishkin, Alexey Alekseevich, 1953-

Pančiškin, A. 1953-

Pančiškin, A. A.

Pančiškin, A. A. 1953-

Pančiškin, Aleksej A.

Pančiškin, Aleksej Alekseevič 1953-

Pantchichkine, Alexei, 1953-

Панчишкин Алексей Алексеевич

Languages