Irregularities in the Distribution of Prime Numbers: From the Era of Helmut Maier's Matrix Method and Beyond

Author:   János Pintz ,  Michael Th. Rassias
Publisher:   Springer Nature Switzerland AG
Edition:   Softcover reprint of the original 1st ed. 2018
ISBN:  

9783030065140


Pages:   217
Publication Date:   08 February 2019
Format:   Paperback
Availability:   Manufactured on demand   Availability explained
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Irregularities in the Distribution of Prime Numbers: From the Era of Helmut Maier's Matrix Method and Beyond


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Author:   János Pintz ,  Michael Th. Rassias
Publisher:   Springer Nature Switzerland AG
Imprint:   Springer Nature Switzerland AG
Edition:   Softcover reprint of the original 1st ed. 2018
Dimensions:   Width: 15.50cm , Height: 1.20cm , Length: 23.50cm
Weight:   0.454kg
ISBN:  

9783030065140


ISBN 10:   3030065146
Pages:   217
Publication Date:   08 February 2019
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Paperback
Publisher's Status:   Active
Availability:   Manufactured on demand   Availability explained
We will order this item for you from a manufactured on demand supplier.

Table of Contents

Foreword (H. Maier).- Preface.- 1. Chains of Large Gaps Between Primes (K. Ford, J. Maynard, T. Tao).- 2. A Note on the Distrution of Primes in Intervals (T. Freiberg).- 3. Distribution of Large Gaps Between Primes (S. Funkhouser, D.A. Goldston, A.H. Ledoan).- 4. On the Difference in Values of the Euler Totient Function Near Prime Arguments (S.R. Garcia, F. Luca).- 5. Vinogradov's Mean Value Theorem As an Ingredient in Polynomial Large Sieve Inequalities and Some Consequences (K. Halupczok).- 6. Unexpected Regularities in the Behavior of Some Number-Theoretic Power Series (A.J. Hildebrand).- 7. The Convex Hull of the Prime Number Graph (N. McNew).- 8. Irregular Behaviour of Class Numbers and Euler-Kronecker Constants of Cyclotomic Fields: the Log Log Log Devil at Play (P. Moree).- 9. Maier's Matrix Method and Irregularities in the Distribution of Prime Numbers (A. Raigorodskii, M.Th. Rassias).- 10. Sums of Values of Non-Principal Characters Over Shifted Primes (R.Z. Khusenovich).

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János Pintz is a Hungarian mathematician working in analytic number theory. He is a fellow of the Rényi Mathematical Institute and is also a member of the Hungarian Academy of Sciences. In 2014, he received the Cole Prize. Michael Th. Rassias is a Latsis Foundation Senior Fellow at the University of Zürich and a visiting researcher at the Institute for Advanced Study, Princeton. He has also been a researcher at ETH-Zürich and Princeton University. While at Princeton, he collaborated with John F. Nash, Jr., for the Springer volume Open Problems in Mathematics. 

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