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تعداد نتایج: 3680

Elliptic Tales

Curves, Counting, and Number Theory

By Avner Ash, Robert Gross
Publisher: Princeton University Press, 2012
Pages: 277
Language: en
ISBN_13:9780691151199
ISBN_10:0691151199
Subject: Mathematics

Confident Data Skills

Master the Fundamentals of Working with Data and Supercharge...

جزئیات و درخواست

By Kirill Eremenko
Publisher: Kogan Page Publishers, 2018-01-03
Pages: 272
Language: en
ISBN_13:9780749481551
ISBN_10:0749481552
Subject: Computers

Summing It Up

From One Plus One to Modern Number Theory

جزئیات و درخواست

By Avner Ash, Robert Gross
Publisher: Princeton University Press, 2018-01-30
Pages: 248
Language: en
ISBN_13:9780691178516
ISBN_10:0691178518
Subject: Mathematics

Complex Multiplication and Lifting Problems

جزئیات و درخواست

By Ching-Li Chai, Brian Conrad, Frans Oort
Publisher: American Mathematical Soc., 2013-12-19
Pages: 402
Language: en
ISBN_13:9781470410148
ISBN_10:1470410141
Subject: Mathematics

Valuations, Orderings, and Milnor $K$-Theory

جزئیات و درخواست

By Ido Efrat
Publisher: American Mathematical Soc., 2006
Pages: 305
Language: en
ISBN_13:9780821840412
ISBN_10:082184041X
Subject: Mathematics

By Andrew V. Sills
Publisher: CRC Press, 2017-10-16
Pages: 263
Language: en
ISBN_13:9781351647960
ISBN_10:1351647962
Subject: Mathematics

The Unity of Combinatorics

جزئیات و درخواست

By Ezra Brown, Richard K. Guy
Publisher: American Mathematical Soc., 2021-04-05
Pages: 369
Language: en
ISBN_13:9781470465094
ISBN_10:1470465094
Subject: Education

Opera de Cribro

جزئیات و درخواست

By John B. Friedlander, Henryk Iwaniec
Publisher: American Mathematical Soc., 2010-06-22
Pages: 554
Language: en
ISBN_13:9780821849705
ISBN_10:0821849700
Subject: Mathematics

Lectures on the Riemann Zeta Function

جزئیات و درخواست

By H. Iwaniec
Publisher: American Mathematical Society, 2014-10-07
Pages: 130
Language: en
ISBN_13:9781470418519
ISBN_10:1470418517
Subject: Mathematics

Macrofoundations

Exploring the Situated Nature of Activity

جزئیات و درخواست

By Christopher W. J. Steele, Timothy R. Hannigan, Vern L Glaser, Madeline Toubiana, Joel Gehman
Publisher: Emerald Group Publishing, 2020-11-26
Pages: 328
Language: en
ISBN_13:9781839091612
ISBN_10:1839091614
Subject: Social Science

An Introduction to Sieve Methods and Their Applications

جزئیات و درخواست

By Alina Carmen Cojocaru, M. Ram Murty
Publisher: Cambridge University Press, 2005-12-08
Pages: 250
Language: en
ISBN_10:0521848164
ISBN_13:9780521848169
Subject: Mathematics

An Experimental Introduction to Number Theory

جزئیات و درخواست

By Benjamin Hutz
Publisher: American Mathematical Soc., 2018-04-17
Pages: 330
Language: en
ISBN_13:9781470430979
ISBN_10:1470430975
Subject: Mathematics

Markov's Theorem and 100 Years of the Uniqueness Conjecture

A Mathematical Journey from Irrational Numbers to Perfect Ma...

$This book takes the reader on a mathematical journey, from a number-theoretic point of view, to the realm of Markov’s theorem and the uniqueness conjecture, gradually unfolding many beautiful connections until everything falls into place in the proof of Markov’s theorem. What makes the Markov theme so attractive is that it appears in an astounding variety of different fields, from number theory to combinatorics, from classical groups and geometry to the world of graphs and words. On the way, there are also introductory forays into some fascinating topics that do not belong to the standard curriculum, such as Farey fractions, modular and free groups, hyperbolic planes, and algebraic words. The book closes with a discussion of the current state of knowledge about the uniqueness conjecture, which remains an open challenge to this day. All the material should be accessible to upper-level undergraduates with some background in number theory, and anything beyond this level is fully explained in the text. This is not a monograph in the usual sense concentrating on a specific topic. Instead, it narrates in five parts – Numbers, Trees, Groups, Words, Finale – the story of a discovery in one field and its many manifestations in others, as a tribute to a great mathematical achievement and as an intellectual pleasure, contemplating the marvellous unity of all mathematics.$

جزئیات و درخواست

By Martin Aigner
Publisher: Springer Science & Business Media, 2013-07-18
Pages: 257
Language: en
ISBN_13:9783319008882
ISBN_10:3319008889
Subject: Mathematics

Cyclotomic Fields and Zeta Values

جزئیات و درخواست

By John Coates, R. Sujatha
Publisher: Springer Science & Business Media, 2006-10-03
Pages: 120
Language: en
ISBN_13:9783540330691
ISBN_10:3540330690
Subject: Mathematics

Analytic Number Theory

An Introductory Course

جزئیات و درخواست

By P. T. Bateman, Harold G. Diamond
Publisher: World Scientific, 2004
Pages: 378
Language: en
ISBN_10:9812560807
ISBN_13:9789812560803
Subject: Mathematics

Cohomological Theory of Crystals Over Function Fields

$This book develops a new cohomological theory for schemes in positive characteristic $p$ and it applies this theory to give a purely algebraic proof of a conjecture of Goss on the rationality of certain $L$-functions arising in the arithmetic of function fields. These $L$-functions are power series over a certain ring $A$, associated to any family of Drinfeld $A$-modules or, more generally, of $A$-motives on a variety of finite type over the finite field $\mathbb{F}_p$. By analogy to the Weil conjecture, Goss conjectured that these $L$-functions are in fact rational functions. In 1996 Taguchi and Wan gave a first proof of Goss's conjecture by analytic methods a la Dwork. The present text introduces $A$-crystals, which can be viewed as generalizations of families of $A$-motives, and studies their cohomology. While $A$-crystals are defined in terms of coherent sheaves together with a Frobenius map, in many ways they actually behave like constructible etale sheaves. A central result is a Lefschetz trace formula for $L$-functions of $A$-crystals, from which the rationality of these $L$-functions is immediate. Beyond its application to Goss's $L$-functions, the theory of $A$-crystals is closely related to the work of Emerton and Kisin on unit root $F$-crystals, and it is essential in an Eichler - Shimura type isomorphism for Drinfeld modular forms as constructed by the first author. The book is intended for researchers and advanced graduate students interested in the arithmetic of function fields and/or cohomology theories for varieties in positive characteristic. It assumes a good working knowledge in algebraic geometry as well as familiarity with homological algebra and derived categories, as provided by standard textbooks. Beyond that the presentation is largely self contained.$

جزئیات و درخواست

By Gebhard Böckle, Richard Pink
Publisher: European Mathematical Society, 2009
Pages: 200
Language: en
ISBN_10:3037190744
ISBN_13:9783037190746
Subject: Mathematics

Arithmetic and Geometry

Ten Years in Alpbach

$Arithmetic and Geometry presents highlights of recent work in arithmetic algebraic geometry by some of the world's leading mathematicians. Together, these 2016 lectures—which were delivered in celebration of the tenth anniversary of the annual summer workshops in Alpbach, Austria—provide an introduction to high-level research on three topics: Shimura varieties, hyperelliptic continued fractions and generalized Jacobians, and Faltings height and L-functions. The book consists of notes, written by young researchers, on three sets of lectures or minicourses given at Alpbach. The first course, taught by Peter Scholze, contains his recent results dealing with the local Langlands conjecture. The fundamental question is whether for a given datum there exists a so-called local Shimura variety. In some cases, they exist in the category of rigid analytic spaces; in others, one has to use Scholze's perfectoid spaces. The second course, taught by Umberto Zannier, addresses the famous Pell equation—not in the classical setting but rather with the so-called polynomial Pell equation, where the integers are replaced by polynomials in one variable with complex coefficients, which leads to the study of hyperelliptic continued fractions and generalized Jacobians. The third course, taught by Shou-Wu Zhang, originates in the Chowla–Selberg formula, which was taken up by Gross and Zagier to relate values of the L-function for elliptic curves with the height of Heegner points on the curves. Zhang, X. Yuan, and Wei Zhang prove the Gross–Zagier formula on Shimura curves and verify the Colmez conjecture on average.$

جزئیات و درخواست

By Gisbert Wüstholz, Clemens Fuchs
Publisher: Princeton University Press, 2019-10-08
Pages: 186
Language: en
ISBN_13:9780691193779
ISBN_10:0691193770
Subject: Mathematics

Hecke's Theory of Modular Forms and Dirichlet Series

جزئیات و درخواست

By Bruce C. Berndt, Erich Hecke, Marvin Isadore Knopp
Publisher: World Scientific, 2007
Pages: 150
Language: en
ISBN_13:9789812792372
ISBN_10:9812792376
Subject: Mathematics

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