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Steps into analytic number theorya p...

Pollack, Paul.

Steps into analytic number theorya problem-based introduction /

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Steps into analytic number theoryby Paul Pollack, Akash Singha Roy.
其他題名:	a problem-based introduction /
作者:	Pollack, Paul.
其他作者:	Singha Roy, Akash.
出版者:	Cham :Springer International Publishing :2021.
面頁冊數:	xiii, 197 p. :ill., digital ;24 cm.
Contained By:	Springer Nature eBook
標題:	Number theory.
電子資源:	https://doi.org/10.1007/978-3-030-65077-3
ISBN:	9783030650773$q(electronic bk.)

Steps into analytic number theorya problem-based introduction /
Pollack, Paul.

Steps into analytic number theorya problem-based introduction /[electronic resource] :by Paul Pollack, Akash Singha Roy. - Cham :Springer International Publishing :2021. - xiii, 197 p. :ill., digital ;24 cm. - Problem books in mathematics,0941-3502. - Problem books in mathematics..

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.

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.

ISBN: 9783030650773$q(electronic bk.)

Standard No.: 10.1007/978-3-030-65077-3doiSubjects--Topical Terms:

189521
Number theory.

LC Class. No.: QA241

Dewey Class. No.: 512.7

Steps into analytic number theorya problem-based introduction /
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505 0 $a 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.
520 $a 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.
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