Download Analytic Number Theory: In Honor of Helmut Maier’s 60th by Carl Pomerance,Michael Th. Rassias PDF
By Carl Pomerance,Michael Th. Rassias
This quantity features a choice of study and survey papers written by way of essentially the most eminent mathematicians within the foreign group 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 in brief durations, anatomy of integers and cyclotomic polynomials, small gaps in sequences of sifted best numbers, oscillation theorems for primes in mathematics progressions, inequalities regarding 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 computing device scientists and engineers who're attracted to natural and interdisciplinary study, 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
The e-book presents a self-contained advent to classical Number conception. the entire proofs of the person theorems and the strategies of the workouts are being provided step-by-step. a few old comments also are offered. The ebook may be directed to complex undergraduate, starting graduate scholars in addition to to scholars who arrange for mathematical competitions (ex.
A booklet on any mathematical topic past the textbook point is of little price except it comprises new rules and new views. It is helping to incorporate new effects, only if they provide the reader new insights and are provided in addition to recognized outdated ends up in a transparent exposition. it really is with this philosophy that the writer writes this quantity.
Euler-Riemann’s zeta and Dirichlet’s eta services are outlined for actual detrimental numbers as analytic continuation. within the current booklet the writer defines new sequence for zeta and eta features, for genuine adverse and imaginary numbers with out analytic continuation. the hot zeta and eta capabilities hold the nature of harmonic sequence and alternating harmonic sequence respectively for actual destructive numbers, as for actual optimistic numbers.
Designed as a self-contained account of a couple of key algorithmic difficulties and their options for linear algebraic teams, this ebook combines in a single unmarried textual content either an creation to the fundamental concept of linear algebraic teams and a considerable number of worthwhile algorithms. Computation with Linear Algebraic teams deals a useful advisor to graduate scholars and researchers operating in algebraic teams, computational algebraic geometry, and computational staff idea, in addition to these searching for a concise creation to the idea of linear algebraic teams.
Additional resources for Analytic Number Theory: In Honor of Helmut Maier’s 60th Birthday