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Trace Formulas by Steven Lord,Edward McDonald,Fedor Sukochev,Dmitriy Zanin Pdf
This volume introduces noncommutative integration theory on semifinite von Neumann algebras and the theory of singular traces for symmetric operator spaces. Deeper aspects of the association between measurability, poles and residues of spectral zeta functions, and asymptotics of heat traces are studied. Applications in Connes’ noncommutative geometry that are detailed include integration of quantum differentials, measures on fractals, and Connes’ character formula concerning the Hochschild class of the Chern character.
Number Theory, Trace Formulas and Discrete Groups by Karl Egil Aubert,Enrico Bombieri,Dorian Goldfeld Pdf
Number Theory, Trace Formulas and Discrete Groups: Symposium in Honor of Atle Selberg Oslo, Norway, July 14-21, 1987 is a collection of papers presented at the 1987 Selberg Symposium, held at the University of Oslo. This symposium contains 30 lectures that cover the significant contribution of Atle Selberg in the field of mathematics. This book is organized into three parts encompassing 29 chapters. The first part presents a brief introduction to the history and developments of the zeta-function. The second part contains lectures on Selberg's considerable research studies on understanding the principles of several aspects of mathematics, including in modular forms, the Riemann zeta function, analytic number theory, sieve methods, discrete groups, and trace formula. The third part is devoted to Selberg's further research works on these topics, with particular emphasis on their practical applications. Some of these research studies, including the integral representations of Einstein series and L-functions; first eigenvalue for congruence groups; the zeta function of a Kleinian group; and the Waring's problem are discussed. This book will prove useful to mathematicians, researchers, and students.
Harmonic Analysis, the Trace Formula, and Shimura Varieties by Clay Mathematics Institute. Summer School Pdf
Langlands program proposes fundamental relations that tie arithmetic information from number theory and algebraic geometry with analytic information from harmonic analysis and group representations. This title intends to provide an entry point into this exciting and challenging field.
Families of Automorphic Forms and the Trace Formula by Werner Müller,Sug Woo Shin,Nicolas Templier Pdf
Featuring the work of twenty-three internationally-recognized experts, this volume explores the trace formula, spectra of locally symmetric spaces, p-adic families, and other recent techniques from harmonic analysis and representation theory. Each peer-reviewed submission in this volume, based on the Simons Foundation symposium on families of automorphic forms and the trace formula held in Puerto Rico in January-February 2014, is the product of intensive research collaboration by the participants over the course of the seven-day workshop. The goal of each session in the symposium was to bring together researchers with diverse specialties in order to identify key difficulties as well as fruitful approaches being explored in the field. The respective themes were counting cohomological forms, p-adic trace formulas, Hecke fields, slopes of modular forms, and orbital integrals.
Simple Algebras, Base Change, and the Advanced Theory of the Trace Formula by James Arthur,Laurent Clozel Pdf
A general principle, discovered by Robert Langlands and named by him the "functoriality principle," predicts relations between automorphic forms on arithmetic subgroups of different reductive groups. Langlands functoriality relates the eigenvalues of Hecke operators acting on the automorphic forms on two groups (or the local factors of the "automorphic representations" generated by them). In the few instances where such relations have been probed, they have led to deep arithmetic consequences. This book studies one of the simplest general problems in the theory, that of relating automorphic forms on arithmetic subgroups of GL(n,E) and GL(n,F) when E/F is a cyclic extension of number fields. (This is known as the base change problem for GL(n).) The problem is attacked and solved by means of the trace formula. The book relies on deep and technical results obtained by several authors during the last twenty years. It could not serve as an introduction to them, but, by giving complete references to the published literature, the authors have made the work useful to a reader who does not know all the aspects of the theory of automorphic forms.
Relative Trace Formulas by Werner Müller,Sug Woo Shin,Nicolas Templier Pdf
A series of three symposia took place on the topic of trace formulas, each with an accompanying proceedings volume. The present volume is the third and final in this series and focuses on relative trace formulas in relation to special values of L-functions, integral representations, arithmetic cycles, theta correspondence and branching laws. The first volume focused on Arthur’s trace formula, and the second volume focused on methods from algebraic geometry and representation theory. The three proceedings volumes have provided a snapshot of some of the current research, in the hope of stimulating further research on these topics. The collegial format of the symposia allowed a homogeneous set of experts to isolate key difficulties going forward and to collectively assess the feasibility of diverse approaches.
Automorphic Representations, L-functions and Applications by Stephen Rallis Pdf
This volume is the proceedings of the conference on Automorphic Representations, L-functions and Applications: Progress and Prospects, held at the Department of Mathematics of The Ohio State University, March 27-30, 2003, in honor of the 60th birthday of Steve Rallis. The theory of automorphic representations, automorphic L-functions and their applications to arithmetic continues to be an area of vigorous and fruitful research. The contributed papers in this volume represent many of the most recent developments and directions, including Rankin-Selberg L-functions (Bump, Ginzburg-Jiang-Rallis, Lapid-Rallis) the relative trace formula (Jacquet, Mao-Rallis) automorphic representations (Gan-Gurevich, Ginzburg-Rallis-Soudry) representation theory of p-adic groups (Baruch, Kudla-Rallis, Moeglin, Cogdell-Piatetski-Shapiro-Shahidi) p-adic methods (Harris-Li-Skinner, Vigneras), and arithmetic applications (Chinta-Friedberg-Hoffstein). The survey articles by Bump, on the Rankin-Selberg method, and by Jacquet, on the relative trace formula, should be particularly useful as an introduction to the key ideas about these important topics. This volume should be of interest both to researchers and students in the area of automorphic representations, as well as to mathematicians in other areas interested in having an overview of current developments in this important field.
Excel 2013 Formulas and Functions by Paul McFedries Pdf
Master core Excel 2013 tools for building powerful, reliable spreadsheets! Excel expert Paul McFedries shows how to use Excel 2013’s core features to solve problems and get the answers you need. Using real-world examples, McFedries helps you get the absolute most out of features and improvements ranging from FlashFill to Excel’s newest functions. Along the way, you discover the fastest, best ways to handle essential day-to-day tasks ranging from generating account numbers to projecting the impact of inflation. Becoming an Excel expert has never been easier! You’ll find crystal-clear instructions; insider insights; even complete step-by-step projects for building timesheets, projecting cash flow, aging receivables, analyzing defects, and more.. • Quickly create powerful spreadsheets with FlashFill • Use conditional formatting to instantly reveal anomalies, problems, or opportunities • Analyze your data with standard tables and PivotTables • Use complex criteria to filter data in lists • Understand correlations between data • Perform sophisticated what-if analyses • Use regression to track trends and make forecasts • Build loan, investment, and discount formulas • Validate data, troubleshoot problems, and build more accurate, trustworthy spreadsheets About MrExcel Library: Every book in the MrExcel Library pinpoints a specific set of crucial Excel tasks and presents focused skills and examples for performing them rapidly and effectively. Selected by Bill Jelen, Microsoft Excel MVP and mastermind behind the leading Excel solutions website MrExcel.com, these books will • Dramatically increase your productivity—saving you 50 hours a year or more • Present proven, creative strategies for solving real-world problems • Show you how to get great results, no matter how much data you have • Help you avoid critical mistakes that even experienced users make CATEGORY: Spreadsheets COVERS: Microsoft Office Excel 2013
Microsoft Excel 2019 Formulas and Functions by Paul McFedries Pdf
Expert Paul McFedries helps you master key Excel 2019 and Office 365 tools for building more powerful spreadsheets. Use Excel 2019 and Office 365 core features to build spreadsheets that solve business problems and deliver reliable answers. Drawing on his unsurpassed experience, Paul McFedries helps you make the most of formulas and functions, including the latest improvements to arrays, formula error handling, and statistics. McFedries’ step-by-step projects walk you through handling key tasks, from building timesheets to projecting cash flow and aging receivables. His practical examples and clear instructions demystify intermediate- to advanced-level formula construction, and help you leverage Excel’s most useful functions in your everyday work. Becoming an Excel expert has never been easier! By reading this book, you will: • Improve business analyses by adding intelligence and knowledge to your models • Replace cumbersome formulas with convenient predefined functions • Radically simplify complex calculations with Office 365’s new dynamic arrays • Use conditional formatting to reveal anomalies, problems, or opportunities • Calculate loan payments, interest costs, terms, and amortization schedules • Project the future value of investments, and plan to achieve investment goals • Master essential discounting and cash-flow analysis tools, including net present value and internal rate of return • Sort, filter, and analyze tabular data, from customers to inventory • Easily analyze huge data sets with PivotTable calculations About This Book • For everyone who wants to get more done with Microsoft Excel in less time • For business and financial professionals, entrepreneurs, students, and others who need to efficiently manage and analyze data
Microsoft Excel 2010 Formulas and Functions Inside Out by Egbert Jeschke,Helmut Reinke,Sara Unverhau,Eckehard Pfeifer Pdf
Conquer Microsoft Excel formulas and functions—from the inside out! You’re beyond the basics, so dive right in and really put Excel formulas and functions to work! This supremely organized reference packs hundreds of timesaving solutions, troubleshooting tips, and workarounds. It’s all muscle and no fluff. Discover how the experts increase their data analysis capabilities using Excel 2003, 2007, or 2010—and challenge yourself to new levels of mastery. Customize Excel formulas using 350+ built-in functions Create reusable formulas for common calculations Learn smarter ways to calculate date and time values Systematically search worksheets with lookup and reference functions Perform advanced calculations using mathematical, statistical, and financial functions Build complex formulas by nesting one function inside of another Analyze profit margins and more with new functions in Excel 2010 Develop your own functions with Visual Basic for Applications (VBA) NOTE: The sample Excel files that accompany the book were updated on 12/4/2012. Click the Companion Content link to download the files.
Automated Reasoning with Analytic Tableaux and Related Methods by Hans De Nivelle Pdf
This book constitutes the refereed proceedings of the 24th International Conference on Automated Reasoning with Analytic Tableaux and Related Methods, TABLEAUX 2015, held in Wroclaw, Poland, in September 2015. The 19 full papers and 2 papers presented in this volume were carefully reviewed and selected from 34 submissions. They are organized in topical sections named: tableaux calculi; sequent calculus; resolution; other calculi; and applications.
Microsoft Excel Formulas and Functions (Office 2021 and Microsoft 365) by Paul McFedries Pdf
Use Excel 365 and Excel 2021 core features to build spreadsheets that solve business problems and deliver reliable answers. Drawing on his unsurpassed experience, Paul McFedries helps you make the most of formulas and functions, including recent improvements ranging from dynamic arrays to XLOOKUP and LET. McFedries' step-by-step projects walk you through handling key tasks, from building timesheets to projecting cash flow and aging receivables. His practical examples and clear instructions demystify intermediate-to-advanced-level formula construction, and help you leverage Excel's most useful functions in your everyday work. Becoming an Excel expert has never been easier! By reading this book, you will: Improve business analyses by adding intelligence and knowledge to your models Replace cumbersome formulas with convenient predefined functions Use modern lookups to make your formulas more powerful and flexible Simplify complex calculations with dynamic arrays in Excel 365 and Excel 2021 Use conditional formatting to reveal anomalies, problems, or opportunities Calculate loan payments, interest costs, terms, and amortization schedules Project the future value of investments, and plan to achieve investment goals Master essential discounting and cash-flow analysis tools, including NPV and IRR Sort, filter, and analyze any tabular data, from customers to inventory Easily analyze huge datasets with PivotTable calculations Perform sophisticated what-if analyses, scenario planning, and forecasting Optimize profit, cost, or operational efficiency with Solver About This Book For everyone who wants to get more done with Microsoft Excel in less time For business and financial professionals, entrepreneurs, students, and others who need to efficiently manage and analyze data
Formulas and Functions with Microsoft Excel 2003 by Paul McFedries Pdf
The world of mathematical formulas and jargon in Microsoft Excel is complex and can be intimidating for even advanced computer users. Perhaps like you, a majority of users find it difficult to get the most they can out of this very valuable program. Formulas and Functions with Microsoft Excel 2003 strives to break down the complexities by focusing on the four primary technologies to master: ranges, formulas, data analysis tools and lists. Chapters such as “Getting the Most Out of Ranges,” “Building Your Own Functions Using VBA,” and “Solving Complex Problems with Solver” will teach you practical skills and solutions that you can put to work immediately. Frustration will become a thing of the past as you begin to master the complex world of Excel!