By Carl Pomerance,Michael Th. Rassias
This quantity incorporates a selection of study and survey papers written via the most eminent mathematicians within the foreign neighborhood and is devoted to Helmut Maier, whose personal examine has been groundbreaking and deeply influential to the sector. particular emphasis is given to subject matters concerning exponential and trigonometric sums and their habit briefly periods, anatomy of integers and cyclotomic polynomials, small gaps in sequences of sifted best numbers, oscillation theorems for primes in mathematics progressions, inequalities on the topic of the distribution of primes in brief periods, the Möbius functionality, Euler’s totient functionality, the Riemann zeta functionality and the Riemann speculation. Graduate scholars, study mathematicians, in addition to machine scientists and engineers who're attracted to natural and interdisciplinary learn, will locate this quantity an invaluable resource.
Contributors to this volume:
Bill Allombert, Levent Alpoge, Nadine Amersi, Yuri Bilu, Régis de los angeles 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.
Read Online or Download Analytic Number Theory: In Honor of Helmut Maier’s 60th Birthday PDF
Similar number theory books
An imaginitive creation to quantity idea, this new angle employs a couple of fictional characters, Ant and Gnam. Ant leads Gnam via quite a few theories, and jointly, they placed the theories into action—applying linear diophantine equations to soccer scoring, utilizing a black-magic machine to simplify difficulties in modular constructions, and constructing fascinating differences to the principles of chess.
This booklet supplies a self- contained therapy of linear algebra with a lot of its most vital functions. it's very strange if no longer specific in being an basic e-book which doesn't overlook arbitrary fields of scalars and the proofs of the theorems. it will likely be worthy for starting scholars and likewise as a reference for graduate scholars and others who desire a simple to learn clarification of the $64000 theorems of this topic.
Now in its 3rd decade, the Colorado Mathematical Olympiad (CMO), based through the writer, has turn into an annual state-wide pageant, webhosting many countless numbers of heart and highschool contestants every year. This publication provides a year-by-year heritage of the CMO from 2004–2013 with the entire difficulties from the competitions and their options.
Peter L. Montgomery has made major contributions to computational quantity thought, introducing many easy instruments reminiscent of Montgomery multiplication, Montgomery simultaneous inversion, Montgomery curves, and the Montgomery ladder. This e-book positive aspects state of the art examine in computational quantity idea concerning Montgomery's paintings and its impression on computational potency and cryptography.
- Applied Proof Theory: Proof Interpretations and their Use in Mathematics (Springer Monographs in Mathematics)
- Number Theory: Plowing and Starring Through High Wave Forms:Proceedings of the 7th Chinaâ€“Japan Seminar (Series on Number Theory and Its Applications)
- Fundamentals of the Theory of Operator Algebras. V2: Advanced Theory: 002 (Pure and Applied Mathematics)
- Number Theory and Related Fields: In Memory of Alf van der Poorten: 43 (Springer Proceedings in Mathematics & Statistics)
Additional info for Analytic Number Theory: In Honor of Helmut Maier’s 60th Birthday
Analytic Number Theory: In Honor of Helmut Maier’s 60th Birthday by Carl Pomerance,Michael Th. Rassias