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Analytic number theory [electronic resource] : in honor of Helmut Maier's 60th birthday

Analytic number theory [electronic resource] : in honor of Helmut Maier's 60th birthday

자료유형
E-Book(소장)
개인저자
Pomerance, Carl. Rassias, Michael Th., 1987-.
서명 / 저자사항
Analytic number theory [electronic resource] : in honor of Helmut Maier's 60th birthday / Carl Pomerance, Michael Th. Rassias, editors.
발행사항
Cham :   Springer International Publishing :   Imprint: Springer,   2015.  
형태사항
1 online resource (viii, 379 p.) : ports.
ISBN
9783319222400
요약
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.
일반주기
Title from e-Book title page.  
내용주기
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.
서지주기
Includes bibliographical references.
이용가능한 다른형태자료
Issued also as a book.  
일반주제명
Mathematics. Data structures (Computer science). Numerical analysis. Number theory.
주제명(개인명)
Maier, Helmut.  
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008 200728s2015 sz c ob 000 0 eng d
020 ▼a 9783319222400
040 ▼a 211009 ▼c 211009 ▼d 211009
050 4 ▼a QA241-247.5
082 0 4 ▼a 512.7 ▼2 23
084 ▼a 512.7 ▼2 DDCK
090 ▼a 512.7
245 0 0 ▼a Analytic number theory ▼h [electronic resource] : ▼b in honor of Helmut Maier's 60th birthday / ▼c Carl Pomerance, Michael Th. Rassias, editors.
260 ▼a Cham : ▼b Springer International Publishing : ▼b Imprint: Springer, ▼c 2015.
300 ▼a 1 online resource (viii, 379 p.) : ▼b ports.
500 ▼a Title from e-Book title page.
504 ▼a Includes bibliographical references.
505 0 ▼a 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.
520 ▼a 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.
530 ▼a Issued also as a book.
538 ▼a Mode of access: World Wide Web.
600 1 0 ▼a Maier, Helmut.
650 0 ▼a Mathematics.
650 0 ▼a Data structures (Computer science).
650 0 ▼a Numerical analysis.
650 0 ▼a Number theory.
700 1 ▼a Pomerance, Carl.
700 1 ▼a Rassias, Michael Th., ▼d 1987-.
856 4 0 ▼u https://oca.korea.ac.kr/link.n2s?url=http://dx.doi.org/10.1007/978-3-319-22240-0
945 ▼a KLPA
991 ▼a E-Book(소장)

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