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Zeta Functions over Zeros of Zeta Functions by Andre Voros (Paperback, 2009)

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In the Riemann zeta function ?(s), the non-real zeros or Riemann zeros, denoted ?, play an essential role mainly in number theory, and thereby g- erate considerable interest. However, they are very elusive objects. Thus, no individual zero has an analytically known location; and the Riemann - pothesis, which states that all those zeros should lie on the critical line, i.e., 1 haverealpart ,haschallengedmathematicianssince1859(exactly150years 2 ago). For analogous symmetric sets of numbers{v}, such as the roots of a k polynomial,the eigenvalues of a ?nite or in?nite matrix,etc., it is well known that symmetric functions of the{v} tend to have more accessible properties k than the individual elements v . And, we ?nd the largest wealth of explicit k properties to occur in the (generalized) zeta functions of the generic form ?s Zeta(s,a)= (v +a) k k (with the extra option of replacing v here by selected functions f(v )). k k Not surprisingly, then, zeta functions over the Riemann zeros have been considered, some as early as 1917.What is surprising is how small the lite- ture on those zeta functions has remained overall.We were able to spot them in barely a dozen research articles over the whole twentieth century and in none ofthebooks featuring the Riemannzeta function. So the domainexists, but it has remained largely con?dential and sporadically covered, in spite of a recent surge of interest. Could it then be that those zeta functions have few or uninteresting pr- erties?Inactualfact,theirstudyyieldsanabundanceofquiteexplicitresults.

Product Identifiers

Publisher
Springer-Verlag Berlin and Heidelberg Gmbh & Co. Kg
ISBN-13
9783642052026
eBay Product ID (ePID)
104419889

Product Key Features

Author
ANDRÉ Voros
Publication Name
Zeta Functions over Zeros of Zeta Functions
Format
Paperback
Language
English
Subject
Mathematics
Publication Year
2009
Type
Textbook
Number of Pages
163 Pages

Dimensions

Item Height
235mm
Item Width
155mm
Volume
8
Item Weight
590g

Additional Product Features

Title_Author
ANDRÉ Voros
Series Title
Lecture Notes of the Unione Matematica Italiana
Country/Region of Manufacture
Germany

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Zeta Functions over Zeros of Zeta Functions by Andre Voros (Paperback, 2009)

About this product

Product Information

Product Identifiers

Product Key Features

Dimensions

Additional Product Features

Best Selling in Adult Learning & University

Australian Guidebook for Structural Engineers by Lonnie Pack (Paperback, 2019)

Eduqas GCSE (9-1) Religious Studies Route B: Catholic Christianity and Judaism by Deirdre Cleary, Andrew Barron, Joy White, Patrick Harrison (Paperback, 2017)

Time Management by Peter Quarry (Paperback, 1986)

The Ethnic Cleansing of Palestine by Ilan Pappe (Paperback, 2007)

Save on Adult Learning & University

The Australian Native Bee Hive Book: Keeping Stingless Sugarbag OATH Tim Heard

Weed Forager's Handbook: A Guide to Edible and Medicinal Weeds in Australia by A

Netter Atlas of Human Anatomy: Classic Regional Approach

The Indoctrinated Brain: How to Successfully Fend Off the Global Attack on Your

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