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Level One Algebraic Cusp Forms of Classical Groups of Small Rank
ISBN: 9781470410940 / Angielski Termin realizacji zamówienia: ok. 5-8 dni roboczych. The authors determine the number of level $1$, polarized, algebraic regular, cuspidal automorphic representations of $mathrm_n$ over $mathbb Q$ of any given infinitesimal character, for essentially all $n leq 8$. For this, they compute the dimensions of spaces of level $1$ automorphic forms for certain semisimple $mathbb Z$-forms of the compact groups $mathrm_7$, $mathrm_8$, $mathrm_9$ (and ${mathrm G}_2$) and determine Arthur's endoscopic partition of these spaces in all cases. They also give applications to the $121$ even lattices of rank $25$ and determinant $2$ found by...
The authors determine the number of level $1$, polarized, algebraic regular, cuspidal automorphic representations of $mathrm_n$ over $mathbb Q$ of...
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cena:
352,63 |
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The Geometric and Arithmetic Volume of Shimura Varieties of Orthogonal Type
ISBN: 9781470419127 / Angielski Termin realizacji zamówienia: ok. 5-8 dni roboczych. This book outlines a functorial theory of integral models of (mixed) Shimura varieties and of their toroidal compactifications, for odd primes of good reduction. This is the integral version, developed in the author's thesis, of the theory invented by Deligne and Pink in the rational case. In addition, the author develops a theory of arithmetic Chern classes of integral automorphic vector bundles with singular metrics using the work of Burgos, Kramer and Kuhn. The main application is calculating arithmetic volumes or "heights"' of Shimura varieties of orthogonal type using Borcherds'...
This book outlines a functorial theory of integral models of (mixed) Shimura varieties and of their toroidal compactifications, for odd primes of good...
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cena:
563,24 |
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Famous Functions in Number Theory
ISBN: 9781470421953 / Angielski Termin realizacji zamówienia: ok. 5-8 dni roboczych. Designed for precollege teachers by a collaborative of teachers, educators, and mathematicians, Famous Functions in Number Theory is based on a course offered in the Summer School Teacher Program at the Park City Mathematics Institute. But this book isn't a ``course'' in the traditional sense. It consists of a carefully sequenced collection of problem sets designed to develop several interconnected mathematical themes, and one of the goals of the problem sets is for readers to uncover these themes for themselves. Famous Functions in Number Theory introduces readers to the use of formal...
Designed for precollege teachers by a collaborative of teachers, educators, and mathematicians, Famous Functions in Number Theory is based on a course...
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cena:
151,83 |
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Group Colorings and Bernoulli Subflows
ISBN: 9781470418472 / Angielski Termin realizacji zamówienia: ok. 5-8 dni roboczych. In this paper the authors study the dynamics of Bernoulli flows and their subflows over general countable groups. One of the main themes of this paper is to establish the correspondence between the topological and the symbolic perspectives. From the topological perspective, the authors are particularly interested in free subflows (subflows in which every point has trivial stabilizer), minimal subflows, disjointness of subflows, and the problem of classifying subflows up to topological conjugacy. Their main tool to study free subflows will be the notion of hyper aperiodic points; a point is...
In this paper the authors study the dynamics of Bernoulli flows and their subflows over general countable groups. One of the main themes of this paper...
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cena:
440,80 |
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Overgroups of Root Groups in Classical Groups
ISBN: 9781470418458 / Angielski Termin realizacji zamówienia: ok. 5-8 dni roboczych. The author extends results of McLaughlin and Kantor on overgroups of long root subgroups and long root elements in finite classical groups. In particular he determines the maximal subgroups of this form. He also determines the maximal overgroups of short root subgroups in finite classical groups and the maximal overgroups in finite orthogonal groups of c-root subgroups.
The author extends results of McLaughlin and Kantor on overgroups of long root subgroups and long root elements in finite classical groups. In particu...
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cena:
416,30 |
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Zeta and $L$-functions in Number Theory and Combinatorics
ISBN: 9781470449001 / Angielski Termin realizacji zamówienia: ok. 5-8 dni roboczych. Zeta and $L$-functions play a central role in number theory. They provide important information of arithmetic nature. This book, which grew out of the author's teaching over several years, explores the interaction between number theory and combinatorics using zeta and $L$-functions as a central theme. It provides a systematic and comprehensive account of these functions in a combinatorial setting and establishes, among other things, the combinatorial counterparts of celebrated results in number theory, such as the prime number theorem and the Chebotarev density theorem. The spectral theory...
Zeta and $L$-functions play a central role in number theory. They provide important information of arithmetic nature. This book, which grew out of the...
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cena:
254,68 |
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Infinite Algebraic Extensions Of Finite Fields
ISBN: 9780821851012 / Angielski Termin realizacji zamówienia: ok. 5-8 dni roboczych. |
cena:
563,24 |
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On Central Critical Values of the Degree Four L-Functions for GSp(4) : The Fundamental Lemma. III
ISBN: 9780821887424 / Angielski Termin realizacji zamówienia: ok. 5-8 dni roboczych. Some time ago, the first and third authors proposed two relative trace formulas to prove generalisations of Bocherer's conjecture on the central critical values of the degree four $L$-functions for $mathrm(4)$, and proved the relevant fundamental lemmas. Recently, the first and second authors proposed an alternative third relative trace formula to approach the same problem and proved the relevant fundamental lemma. In this paper the authors extend the latter fundamental lemma and the first of the former fundamental lemmas to the full Hecke algebra. The fundamental lemma is an equality of...
Some time ago, the first and third authors proposed two relative trace formulas to prove generalisations of Bocherer's conjecture on the central criti...
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cena:
342,85 |
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Transfer of Siegel Cusp Forms of Degree 2
ISBN: 9780821898567 / Angielski Termin realizacji zamówienia: ok. 5-8 dni roboczych. Let p be the automorphic representation of GSp4 (A) generated by a full level cuspidal Siegel eigenform that is not a Saito-Kurokawa lift, and t be an arbitrary cuspidal, automorphic representation of GL? (A). Using Furusawa's integral representation for GSp? X GL? combined with a pullback formula involving the unitary group GU (3,3), the authors prove that the L-functions L(s,p X t are ``nice". The converse theorem of Cogdell and Piatetski-Shapiro then implies that such representations p have a functorial lifting to a cuspidal representation of GL? (A). Combined with the exterior-square...
Let p be the automorphic representation of GSp4 (A) generated by a full level cuspidal Siegel eigenform that is not a Saito-Kurokawa lift, and t be an...
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cena:
347,74 |
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Topics in Finite Fields
ISBN: 9780821898604 / Angielski Termin realizacji zamówienia: ok. 5-8 dni roboczych. This volume contains the proceedings of the 11th International Conference on Finite Fields and their Applications (Fq11), held July 22-26, 2013, in Magdeburg, Germany. Finite Fields are fundamental structures in mathematics. They lead to interesting deep problems in number theory, play a major role in combinatorics and finite geometry, and have a vast amount of applications in computer science. Papers in this volume cover these aspects of finite fields as well as applications in coding theory and cryptography.
This volume contains the proceedings of the 11th International Conference on Finite Fields and their Applications (Fq11), held July 22-26, 2013, in Ma...
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cena:
563,24 |
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Brandt Matrices and Theta Series over Global Function Fields
ISBN: 9781470414191 / Angielski Termin realizacji zamówienia: ok. 5-8 dni roboczych. The aim of this article is to give a complete account of the Eichler-Brandt theory over function fields and the basis problem for Drinfeld type automorphic forms. Given arbitrary function field $k$ together with a fixed place $infty$, the authors construct a family of theta series from the norm forms of ``definite'' quaternion algebras, and establish an explicit Hecke-module homomorphism from the Picard group of an associated definite Shimura curve to a space of Drinfeld type automorphic forms. The ``compatibility'' of these homomorphisms with different square-free levels is also examined....
The aim of this article is to give a complete account of the Eichler-Brandt theory over function fields and the basis problem for Drinfeld type automo...
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cena:
318,35 |
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SCHOLAR-a Scientific Celebration Highlighting Open Lines of Arithmetic Research
ISBN: 9781470414573 / Angielski Termin realizacji zamówienia: ok. 5-8 dni roboczych. M. Ram Murty has had a profound impact on the development of number theory throughout the world. To honor his mathematical legacy, a conference focusing on new research directions in number theory inspired by his most significant achievements was held from October 15-17, 2013, at the Centre de Recherches Mathematiques in Montreal. This proceedings volume is representative of the broad spectrum of topics that were addressed at the conference, such as elliptic curves, function field arithmetic, Galois representations, $L$-functions, modular forms and automorphic forms, sieve methods, and...
M. Ram Murty has had a profound impact on the development of number theory throughout the world. To honor his mathematical legacy, a conference focusi...
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cena:
563,24 |
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On Dwork's P-Adic Formal Congruences Theorem and Hypergeometric Mirror Maps
ISBN: 9781470423001 / Angielski Termin realizacji zamówienia: ok. 5-8 dni roboczych. Using Dwork's theory, the authors prove a broad generalization of his famous p-adic formal congruences theorem. This enables them to prove certain p-adic congruences for the generalized hypergeometric series with rational parameters in particular, they hold for any prime number p and not only for almost all primes. Furthermore, using Christol's functions, the authors provide an explicit formula for the ``Eisenstein constant'' of any hypergeometric series with rational parameters. As an application of these results, the authors obtain an arithmetic statement ``on average'' of a new type...
Using Dwork's theory, the authors prove a broad generalization of his famous p-adic formal congruences theorem. This enables them to prove certain p-a...
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cena:
328,15 |
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Trends in Number Theory
ISBN: 9780821898581 / Angielski Termin realizacji zamówienia: ok. 5-8 dni roboczych. This volume contains the proceedings of the Fifth Spanish Meeting on Number Theory, held from July 8-12, 2013, at the Universidad de Sevilla, Sevilla, Spain. The articles contained in this book give a panoramic vision of the current research in number theory, both in Spain and abroad. Some of the topics covered in this volume are classical algebraic number theory, arithmetic geometry, and analytic number theory. This book is published in cooperation with Real Sociedad Matematica Espanola (RSME).
This volume contains the proceedings of the Fifth Spanish Meeting on Number Theory, held from July 8-12, 2013, at the Universidad de Sevilla, Sevilla,...
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cena:
563,24 |
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Number Theory: A Very Short Introduction
ISBN: 9780198798095 / Angielski / Miękka / 176 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Number theory is the branch of mathematics primarily concerned with the counting numbers, especially primes. It dates back to the ancient Greeks, but today it has great practical importance in cryptography, from credit card security to national defence. This book introduces the main areas of number theory, and some of its most interesting problems.
Number theory is the branch of mathematics primarily concerned with the counting numbers, especially primes. It dates back to the ancient Greeks, but ...
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cena:
50,05 |
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Surveys in Number Theory: Papers from the Millennial Conference on Number Theory
ISBN: 9781138454286 / Angielski / Twarda / 372 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This volume, based on fourteen papers from the Millennial Conference on Number Theory, represents surveys of topics in number theory and provides an outlook into the future of number theory research. It serves as an inspiration to graduate students and as a reference for research mathematicians.
This volume, based on fourteen papers from the Millennial Conference on Number Theory, represents surveys of topics in number theory and provides an o...
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cena:
881,59 |
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Introduction to the Theory of Standard Monomials
ISBN: 9789380250588 / Angielski Termin realizacji zamówienia: ok. 5-8 dni roboczych. The aim of this book is to give an introduction to what has come to be known as Standard Monomial Theory (SMT). SMT deals with the construction of nice bases of finite dimensional irreducible representations of semi-simple algebraic groups or, in geometric terms, nice bases of coordinate rings of flag varieties (and their Schubert subvarieties) associated to these groups. Besides its intrinsic interest, SMT has applications to the study of the geometry of Schubert varieties. SMT has its origin in the work of Hodge, giving bases of the coordinate rings of the Grassmannian and its Schubert...
The aim of this book is to give an introduction to what has come to be known as Standard Monomial Theory (SMT). SMT deals with the construction of nic...
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cena:
195,91 |
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Class Groups of Number Fields and Related Topics
ISBN: 9789811515132 / Angielski / Twarda / 178 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. |
cena:
322,01 |
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Ketogene Ernährung für Einsteiger: Unsere bemerkenswerten Erfahrungen mit der Keto Diät kombiniert mit einem Kochbuch aus 133 fabelhaften Rezepten
ISBN: 9781693881800 / Niemiecki / Miękka / 198 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. |
cena:
43,29 |