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|a 10.1007/978-3-319-92777-0
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|a Irregularities in the Distribution of Prime Numbers
|h [electronic resource] :
|b From the Era of Helmut Maier's Matrix Method and Beyond /
|c edited by János Pintz, Michael Th. Rassias.
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|a 1st ed. 2018.
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|a Cham :
|b Springer International Publishing :
|b Imprint: Springer,
|c 2018.
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|a XI, 217 p. 13 illus., 1 illus. in color.
|b online resource.
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|a text
|b txt
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|a computer
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|a 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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|a This volume presents research and expository papers highlighting the vibrant and fascinating study of irregularities in the distribution of primes. Written by an international group of experts, contributions present a self-contained yet unified exploration of a rapidly progressing area. Emphasis is given to the research inspired by Maier's matrix method, which established a newfound understanding of the distribution of primes. Additionally, the book provides an historical overview of a large body of research in analytic number theory and approximation theory. The papers published within are intended as reference tools for graduate students and researchers in mathematics.
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|a Number theory.
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|a Functions of complex variables.
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|a Special functions.
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|a Number Theory.
|0 http://scigraph.springernature.com/things/product-market-codes/M25001
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|a Functions of a Complex Variable.
|0 http://scigraph.springernature.com/things/product-market-codes/M12074
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|a Special Functions.
|0 http://scigraph.springernature.com/things/product-market-codes/M1221X
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|a Pintz, János.
|e editor.
|4 edt
|4 http://id.loc.gov/vocabulary/relators/edt
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|a Rassias, Michael Th.
|e editor.
|4 edt
|4 http://id.loc.gov/vocabulary/relators/edt
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|a SpringerLink (Online service)
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|t Springer eBooks
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|i Printed edition:
|z 9783319927763
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|i Printed edition:
|z 9783319927787
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|i Printed edition:
|z 9783030065140
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|u https://doi.org/10.1007/978-3-319-92777-0
|z Full Text via HEAL-Link
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|a ZDB-2-SMA
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|a Mathematics and Statistics (Springer-11649)
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