0
Your cart

Your cart is empty

Books > Science & Mathematics > Mathematics > Number theory

Buy Now

Recent Progress On Topics Of Ramanujan Sums And Cotangent Sums Associated With The Riemann Hypothesis (Hardcover) Loot Price: R1,897
Discovery Miles 18 970
Recent Progress On Topics Of Ramanujan Sums And Cotangent Sums Associated With The Riemann Hypothesis (Hardcover): Helmut...

Recent Progress On Topics Of Ramanujan Sums And Cotangent Sums Associated With The Riemann Hypothesis (Hardcover)

Helmut Maier, Laszlo Toth, Michael Th Rassias

Series: Monographs In Number Theory, 10

 (sign in to rate)
Loot Price R1,897 Discovery Miles 18 970 | Repayment Terms: R178 pm x 12*

Bookmark and Share

Expected to ship within 10 - 15 working days

In this monograph, we study recent results on some categories of trigonometric/exponential sums along with various of their applications in Mathematical Analysis and Analytic Number Theory. Through the two chapters of this monograph, we wish to highlight the applicability and breadth of techniques of trigonometric/exponential sums in various problems focusing on the interplay of Mathematical Analysis and Analytic Number Theory. We wish to stress the point that the goal is not only to prove the desired results, but also to present a plethora of intermediate Propositions and Corollaries investigating the behaviour of such sums, which can also be applied in completely different problems and settings than the ones treated within this monograph.In the present work we mainly focus on the applications of trigonometric/exponential sums in the study of Ramanujan sums - which constitute a very classical domain of research in Number Theory - as well as the study of certain cotangent sums with a wide range of applications, especially in the study of Dedekind sums and a facet of the research conducted on the Riemann Hypothesis. For example, in our study of the cotangent sums treated within the second chapter, the methods and techniques employed reveal unexpected connections with independent and very interesting problems investigated in the past by R de la Breteche and G Tenenbaum on trigonometric series, as well as by S Marmi, P Moussa and J-C Yoccoz on Dynamical Systems.Overall, a reader who has mastered fundamentals of Mathematical Analysis, as well as having a working knowledge of Classical and Analytic Number Theory, will be able to gradually follow all the parts of the monograph. Therefore, the present monograph will be of interest to advanced undergraduate and graduate students as well as researchers who wish to be informed on the latest developments on the topics treated.

General

Imprint: World Scientific Publishing Co Pte Ltd
Country of origin: Singapore
Series: Monographs In Number Theory, 10
Release date: 2022
First published: 2022
Authors: Helmut Maier • Laszlo Toth • Michael Th Rassias
Format: Hardcover
Pages: 164
ISBN-13: 978-981-12-4688-3
Categories: Books > Science & Mathematics > Mathematics > Number theory > General
Promotions
LSN: 981-12-4688-2
Barcode: 9789811246883

Is the information for this product incomplete, wrong or inappropriate? Let us know about it.

Does this product have an incorrect or missing image? Send us a new image.

Is this product missing categories? Add more categories.

Review This Product

No reviews yet - be the first to create one!

You might also like..

Number Friends - let's write numbers
Bridget Mather-Scott Paperback R439 R386 Discovery Miles 3 860
Perfect And Amicable Numbers
Elena Deza Hardcover R4,002 Discovery Miles 40 020
Combinatorics, Modeling, Elementary…
Ivan V Cherednik Hardcover R3,273 Discovery Miles 32 730
Friendly Introduction to Number Theory…
Joseph Silverman Paperback R2,384 Discovery Miles 23 840
Fundamentals of Number Theory
Emanuel Patterson Hardcover R3,644 R3,292 Discovery Miles 32 920
Numbers
Samuel Hiti Hardcover R585 Discovery Miles 5 850
Thinking Better - The Art of the…
Marcus du Sautoy Paperback R300 R268 Discovery Miles 2 680
Topics in Complex Analysis
Joel L Schiff Hardcover R4,838 Discovery Miles 48 380
Elementary Number Theory - Pearson New…
Kenneth Rosen Paperback R2,468 Discovery Miles 24 680
Protecting Privacy through Homomorphic…
Kristin Lauter, Wei Dai, … Hardcover R3,267 Discovery Miles 32 670
Combinatorial and Additive Number Theory…
Melvyn B Nathanson Hardcover R6,447 Discovery Miles 64 470
Noncommutative Geometry - A Functorial…
Igor V Nikolaev Hardcover R4,343 Discovery Miles 43 430

See more

Partners