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| 005 |
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| 020 |
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|a 9783030650773
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| 024 |
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|a 10.1007/978-3-030-65077-3
|2 doi
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| 035 |
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|a (DE-He213)978-3-030-65077-3
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| 035 |
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|a in00004418913
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|a QA241-247.5
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|a MAT022000
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|a 512.7
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| 100 |
1 |
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|a Pollack, Paul.
|e author.
|4 aut
|4 http://id.loc.gov/vocabulary/relators/aut
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| 245 |
1 |
0 |
|a Steps into Analytic Number Theory :
|b A Problem-Based Introduction /
|c by Paul Pollack, Akash Singha Roy.
|
| 250 |
|
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|a 1st ed. 2021.
|
| 264 |
|
1 |
|a Cham :
|b Springer International Publishing :
|b Imprint: Springer,
|c 2021.
|
| 300 |
|
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|a 1 online resource (XIII, 197 pages 3 illustrations)
|
| 336 |
|
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|a text
|b txt
|2 rdacontent
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| 337 |
|
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|a computer
|b c
|2 rdamedia
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| 338 |
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|a online resource
|b cr
|2 rdacarrier
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| 347 |
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|a text file
|b PDF
|2 rda
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| 490 |
1 |
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|a Problem Books in Mathematics,
|x 0941-3502
|
| 505 |
0 |
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|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 |
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|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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| 650 |
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|a Number theory.
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| 650 |
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|a Mathematics-Study and teaching .
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| 650 |
1 |
4 |
|a Number Theory.
|0 https://scigraph.springernature.com/ontologies/product-market-codes/M25001
|
| 650 |
2 |
4 |
|a Mathematics Education.
|0 https://scigraph.springernature.com/ontologies/product-market-codes/O25000
|
| 655 |
|
7 |
|a Electronic books.
|2 local
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| 700 |
1 |
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|a Singha Roy, Akash.
|e author.
|4 aut
|4 http://id.loc.gov/vocabulary/relators/aut
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| 710 |
2 |
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|a SpringerLink (Online service)
|
| 773 |
0 |
|
|t Springer Nature eBook
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| 776 |
0 |
8 |
|i Printed edition:
|z 9783030650766
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| 776 |
0 |
8 |
|i Printed edition:
|z 9783030650780
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| 776 |
0 |
8 |
|i Printed edition:
|z 9783030650797
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| 830 |
|
0 |
|a Problem Books in Mathematics,
|x 0941-3502
|
| 856 |
4 |
0 |
|u http://proxy.library.tamu.edu/login?url=https://doi.org/10.1007/978-3-030-65077-3
|z Connect to the full text of this electronic book
|t 0
|
| 950 |
|
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|a Mathematics and Statistics (SpringerNature-11649)
|
| 950 |
|
|
|a Mathematics and Statistics (R0) (SpringerNature-43713)
|
| 955 |
|
|
|a Springer EBA Purchase
|
| 999 |
f |
f |
|s 3b77a2ec-c386-42fd-a7e4-e0eeca9e14d2
|i df526db8-877b-33a5-85b7-b31131305d13
|t 0
|
| 952 |
f |
f |
|a Texas A&M University
|b College Station
|c Electronic Resources
|d Available Online
|t 0
|e QA241-247.5
|h Library of Congress classification
|
| 998 |
f |
f |
|a QA241-247.5
|t 0
|l Available Online
|