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Catalogue Information
Field name	Details
Dewey Class	512.7
Title	Steps into Analytic Number Theory ([EBook] :) : A Problem-Based Introduction / / by Paul Pollack, Akash Singha Roy.
Author	Pollack, Paul
Added Personal Name	Singha Roy, Akash
Other name(s)	SpringerLink (Online service)
Edition statement	1st ed. 2021.
Publication	Cham : : Springer International Publishing : : Imprint: Springer, , 2021.
Physical Details	XIII, 197 p. 3 illus. : online resource.
Series	Problem books in mathematics 2197-8506
ISBN	9783030650773
Summary Note	This problem book gathers together 15 problem sets on analytic number theory that can be profitably approached by anyone from advanced high school students to those pursuing graduate studies. It emerged from a 5-week course taught by the first author as part of the 2019 Ross/Asia Mathematics Program held from July 7 to August 9 in Zhenjiang, China. While it is recommended that the reader has a solid background in mathematical problem solving (as from training for mathematical contests), no possession of advanced subject-matter knowledge is assumed. Most of the solutions require nothing more than elementary number theory and a good grasp of calculus. Problems touch at key topics like the value-distribution of arithmetic functions, the distribution of prime numbers, the distribution of squares and nonsquares modulo a prime number, Dirichlet's theorem on primes in arithmetic progressions, and more. This book is suitable for any student with a special interest in developing problem-solving skills in analytic number theory. It will be an invaluable aid to lecturers and students as a supplementary text for introductory Analytic Number Theory courses at both the undergraduate and graduate level.:
Contents note	Preface -- Set #0 -- Set #1 -- Set #2 -- Set #3 -- Set #4 -- Set #5 -- Set #6 -- Set #7 -- Set #8 -- Set #9 -- Set #10 -- Set #11 -- Special Set A: Dirichlet's Theorem for m = 8 -- Special Set B: Dirichlet's Theorem for m = l (odd prime) -- Special Set C: Dirichlet's Theorem in the General Case -- Solutions to Set #0 -- Solutions to Set #1 -- Solutions to Set #2 -- Solutions to Set #3 -- Solutions to Set #4 -- Solutions to Set #5 -- Solutions to Set #6 -- Solutions to Set #7 -- Solutions to Set #8 -- Solutions to Set #9 -- Solutions to Set #10 -- Solutions to Set #11 -- Solutions to Special Set A -- Solutions to Special Set B -- Solutions to Special Set C -- Epilogue -- Suggestions for Further Reading.
Mode of acces to digital resource	Mode of access: World Wide Web. System requirements: Internet Explorer 6.0 (or higher) or Firefox 2.0 (or higher). Available as searchable text in PDF format.
System details note	Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users).
Internet Site	https://doi.org/10.1007/978-3-030-65077-3
Links to Related Works	Subject References: Mathematics Education . Mathematics—Study and teaching . Number Theory . Authors: author . Pollack, Paul . Singha Roy, Akash . Corporate Authors: SpringerLink (Online service) . Series: Problem books in mathematics . Classification: 512.7 .

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Steps into Analytic Number Theory: A Problem-Based Introduction /

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