001434556 000__ 04029cam\a2200601\i\4500 001434556 001__ 1434556 001434556 003__ OCoLC 001434556 005__ 20230309003736.0 001434556 006__ m\\\\\o\\d\\\\\\\\ 001434556 007__ cr\nn\nnnunnun 001434556 008__ 210208s2021\\\\gw\a\\\\o\\\\\000\0\eng\d 001434556 019__ $$a1237409906$$a1237558965$$a1244116269 001434556 020__ $$a9783030650773$$q(electronic bk.) 001434556 020__ $$a3030650774$$q(electronic bk.) 001434556 020__ $$z9783030650766 001434556 020__ $$z3030650766 001434556 0247_ $$a10.1007/978-3-030-65077-3$$2doi 001434556 035__ $$aSP(OCoLC)1240605528 001434556 040__ $$aSFB$$beng$$erda$$epn$$cSFB$$dOCLCO$$dGW5XE$$dEBLCP$$dYDX$$dOCLCO$$dDCT$$dOCLCF$$dUKAHL$$dOCLCQ$$dOCLCO$$dCOM$$dOCLCQ 001434556 049__ $$aISEA 001434556 050_4 $$aQA241 001434556 08204 $$a512.7$$223 001434556 1001_ $$aPollack, Paul,$$d1980-$$eauthor. 001434556 24510 $$aSteps into analytic number theory :$$ba problem-based introduction /$$cPaul Pollack, Akash Singha Roy. 001434556 264_1 $$aCham :$$bSpringer,$$c[2021] 001434556 300__ $$a1 online resource (xiii, 197 pages) :$$billustrations 001434556 336__ $$atext$$btxt$$2rdacontent 001434556 337__ $$acomputer$$bc$$2rdamedia 001434556 338__ $$aonline resource$$bcr$$2rdacarrier 001434556 347__ $$atext file 001434556 347__ $$bPDF 001434556 4901_ $$aProblem books in mathematics,$$x0941-3502 001434556 5050_ $$aPreface -- 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. 001434556 506__ $$aAccess limited to authorized users. 001434556 520__ $$aThis 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. 001434556 588__ $$aOnline resource; title from PDF title page (SpringerLink, viewed March 17, 2021). 001434556 650_0 $$aNumber theory. 001434556 650_0 $$aMathematics$$vProblems, exercises, etc. 001434556 650_6 $$aThéorie des nombres. 001434556 655_7 $$aexercise books.$$2aat 001434556 655_7 $$aProblems and exercises.$$2fast$$0(OCoLC)fst01423783 001434556 655_7 $$aProblems and exercises.$$2lcgft 001434556 655_7 $$aProblèmes et exercices.$$2rvmgf 001434556 655_0 $$aElectronic books. 001434556 7001_ $$aSingha Roy, Akash,$$eauthor. 001434556 77608 $$z3030650766 001434556 830_0 $$aProblem books in mathematics,$$x0941-3502 001434556 852__ $$bebk 001434556 85640 $$3Springer Nature$$uhttps://univsouthin.idm.oclc.org/login?url=https://link.springer.com/10.1007/978-3-030-65077-3$$zOnline Access$$91397441.1 001434556 909CO $$ooai:library.usi.edu:1434556$$pGLOBAL_SET 001434556 980__ $$aBIB 001434556 980__ $$aEBOOK 001434556 982__ $$aEbook 001434556 983__ $$aOnline 001434556 994__ $$a92$$bISE