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The Resource Analytic Number Theory : In Honor of Helmut Maier's 60th Birthday, edited by Carl Pomerance, Michael Th. Rassias, (electronic resource)

Analytic Number Theory : In Honor of Helmut Maier's 60th Birthday, edited by Carl Pomerance, Michael Th. Rassias, (electronic resource)

Label
Analytic Number Theory : In Honor of Helmut Maier's 60th Birthday
Title
Analytic Number Theory
Title remainder
In Honor of Helmut Maier's 60th Birthday
Statement of responsibility
edited by Carl Pomerance, Michael Th. Rassias
Contributor
Editor
Subject
Language
eng
Summary
This volume contains a collection of research and survey papers written by some of the most eminent mathematicians in the international community and is dedicated to Helmut Maier, whose own research has been groundbreaking and deeply influential to the field. Specific emphasis is given to topics regarding exponential and trigonometric sums and their behavior in short intervals, anatomy of integers and cyclotomic polynomials, small gaps in sequences of sifted prime numbers, oscillation theorems for primes in arithmetic progressions, inequalities related to the distribution of primes in short intervals, the Möbius function, Euler's totient function, the Riemann zeta function and the Riemann Hypothesis. Graduate students, research mathematicians, as well as computer scientists and engineers who are interested in pure and interdisciplinary research, will find this volume a useful resource. Contributors to this volume: Bill Allombert, Levent Alpoge, Nadine Amersi, Yuri Bilu, Régis de la Bretèche, Christian Elsholtz, John B. Friedlander, Kevin Ford, Daniel A. Goldston, Steven M. Gonek, Andrew Granville, Adam J. Harper, Glyn Harman, D. R. Heath-Brown, Aleksandar Ivić, Geoffrey Iyer, Jerzy Kaczorowski, Daniel M. Kane, Sergei Konyagin, Dimitris Koukoulopoulos, Michel L. Lapidus, Oleg Lazarev, Andrew H. Ledoan, Robert J. Lemke Oliver, Florian Luca, James Maynard, Steven J. Miller, Hugh L. Montgomery, Melvyn B. Nathanson, Ashkan Nikeghbali, Alberto Perelli, Amalia Pizarro-Madariaga, János Pintz, Paul Pollack, Carl Pomerance, Michael Th. Rassias, Maksym Radziwiłł, Joël Rivat, András Sárközy, Jeffrey Shallit, Terence Tao, Gérald Tenenbaum, László Tóth, Tamar Ziegler, Liyang Zhang
Member of
Image bit depth
0
Literary form
non fiction
http://library.link/vocab/relatedWorkOrContributorName
  • Pomerance, Carl.
  • Rassias, Michael Th.
  • SpringerLink (Online service)
http://library.link/vocab/subjectName
  • Mathematics
  • Data structures (Computer science)
  • Numerical analysis
  • Number theory
Label
Analytic Number Theory : In Honor of Helmut Maier's 60th Birthday, edited by Carl Pomerance, Michael Th. Rassias, (electronic resource)
Link
http://ezproxy.eui.eu/login?url=http://dx.doi.org/10.1007/978-3-319-22240-0
Instantiates
Publication
Antecedent source
mixed
Carrier category
online resource
Carrier category code
cr
Carrier MARC source
rdacarrier.
Color
not applicable
Content category
text
Content type code
txt
Content type MARC source
rdacontent.
Contents
CM-Points on Straight Lines -- Maass Waveforms and Low-Lying Zeros -- Théorème de Jordan Friable -- On Conjectures of T. Ordowski and Z.W. Sun Concerning Primes and Quadratic Forms -- Large Gaps Between Consecutive Prime Numbers Containing Perfect Powers -- On the Parity of the Number of Small Divisors of n -- Counting Primes in Arithmetic Progressions -- Limit Points of the Sequence of Normalized Differences Between Consecutive Prime Numbers -- Spirals of the Zeta Function I -- Best Possible Densities of Dickson m-tuples, as a Consequence of Zhang-Maynard-Tao -- A Note on Helson's Conjecture on Moments of Random Multiplicative Functions -- Large Values of the Zeta-Function on the Critical Line -- A Note on Bessel Twists of L-Functions -- The Sound of Fractal Strings and the Riemann Hypothesis -- Sums of two Squares in Short Intervals -- Infinite Sumsets with Many Representations -- On the Ratio of Consecutive Gaps Between Primes -- Remarks on Fibers of the Sum-of-Divisors Function -- On Amicable Numbers -- Trigonometric Representations of Generalized Dedekind and Hardy Sums via the Discrete Fourier Transform -- On Arithmetic Properties of Products and Shifted Products -- Narrow Progressions in the Primes
Control code
978-3-319-22240-0
Dimensions
unknown
Extent
VIII, 379 p. 4 illus., 1 illus. in color.
File format
multiple file formats
Form of item
electronic
Governing access note
Use of this electronic resource may be governed by a license agreement which restricts use to the European University Institute community. Each user is responsible for limiting use to individual, non-commercial purposes, without systematically downloading, distributing, or retaining substantial portions of information, provided that all copyright and other proprietary notices contained on the materials are retained. The use of software, including scripts, agents, or robots, is generally prohibited and may result in the loss of access to these resources for the entire European University Institute community
Isbn
9783319222400
Level of compression
uncompressed
Media category
computer
Media MARC source
rdamedia.
Media type code
c
Other control number
10.1007/978-3-319-22240-0
Other physical details
online resource.
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote
System control number
(OCoLC)1086514059
Label
Analytic Number Theory : In Honor of Helmut Maier's 60th Birthday, edited by Carl Pomerance, Michael Th. Rassias, (electronic resource)
Link
http://ezproxy.eui.eu/login?url=http://dx.doi.org/10.1007/978-3-319-22240-0
Publication
Antecedent source
mixed
Carrier category
online resource
Carrier category code
cr
Carrier MARC source
rdacarrier.
Color
not applicable
Content category
text
Content type code
txt
Content type MARC source
rdacontent.
Contents
CM-Points on Straight Lines -- Maass Waveforms and Low-Lying Zeros -- Théorème de Jordan Friable -- On Conjectures of T. Ordowski and Z.W. Sun Concerning Primes and Quadratic Forms -- Large Gaps Between Consecutive Prime Numbers Containing Perfect Powers -- On the Parity of the Number of Small Divisors of n -- Counting Primes in Arithmetic Progressions -- Limit Points of the Sequence of Normalized Differences Between Consecutive Prime Numbers -- Spirals of the Zeta Function I -- Best Possible Densities of Dickson m-tuples, as a Consequence of Zhang-Maynard-Tao -- A Note on Helson's Conjecture on Moments of Random Multiplicative Functions -- Large Values of the Zeta-Function on the Critical Line -- A Note on Bessel Twists of L-Functions -- The Sound of Fractal Strings and the Riemann Hypothesis -- Sums of two Squares in Short Intervals -- Infinite Sumsets with Many Representations -- On the Ratio of Consecutive Gaps Between Primes -- Remarks on Fibers of the Sum-of-Divisors Function -- On Amicable Numbers -- Trigonometric Representations of Generalized Dedekind and Hardy Sums via the Discrete Fourier Transform -- On Arithmetic Properties of Products and Shifted Products -- Narrow Progressions in the Primes
Control code
978-3-319-22240-0
Dimensions
unknown
Extent
VIII, 379 p. 4 illus., 1 illus. in color.
File format
multiple file formats
Form of item
electronic
Governing access note
Use of this electronic resource may be governed by a license agreement which restricts use to the European University Institute community. Each user is responsible for limiting use to individual, non-commercial purposes, without systematically downloading, distributing, or retaining substantial portions of information, provided that all copyright and other proprietary notices contained on the materials are retained. The use of software, including scripts, agents, or robots, is generally prohibited and may result in the loss of access to these resources for the entire European University Institute community
Isbn
9783319222400
Level of compression
uncompressed
Media category
computer
Media MARC source
rdamedia.
Media type code
c
Other control number
10.1007/978-3-319-22240-0
Other physical details
online resource.
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote
System control number
(OCoLC)1086514059

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