LEADER 04362nam 22005895 450 001 9910300251803321 005 20200630105726.0 010 $a1-4939-3201-2 024 7 $a10.1007/978-1-4939-3201-6 035 $a(CKB)3710000000498472 035 $a(EBL)4067989 035 $a(SSID)ssj0001584814 035 $a(PQKBManifestationID)16265396 035 $a(PQKBTitleCode)TC0001584814 035 $a(PQKBWorkID)14864436 035 $a(PQKB)11380544 035 $a(DE-He213)978-1-4939-3201-6 035 $a(MiAaPQ)EBC4067989 035 $a(PPN)190525045 035 $a(EXLCZ)993710000000498472 100 $a20151028d2015 u| 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 10$aAdvances in the Theory of Numbers $eProceedings of the Thirteenth Conference of the Canadian Number Theory Association /$fedited by Ay?e Alaca, ?aban Alaca, Kenneth S. Williams 205 $a1st ed. 2015. 210 1$aNew York, NY :$cSpringer New York :$cImprint: Springer,$d2015. 215 $a1 online resource (253 p.) 225 1 $aFields Institute Communications,$x1069-5265 ;$v77 300 $aDescription based upon print version of record. 311 $a1-4939-3200-4 327 $aPreface -- List of lectures -- List of participants -- Identities for Logarithmic Means (B.C. Berndt, S. Kim) -- Universal Thickening of the Field of Real Numbers (A. Connes, C. Consani) -- Moments of Zeta and Correlations of Divisor-sums (B. Conrey, J.P. Keating) -- A Note on the Theorem of Maynard and Tao (T. Freiberg) -- A Prime Analogue of Roth's Theorem in Function Fields (Y.R. Liu, C.V. Spencer) -- The Distribution of Self-Fibonacci Divisors (F. Luca, E. Tron).Some Remarks on Automorphy and the Sato-Tate Conjecture (M.R. Murty, V.K. Murty) -- Division Polynomials with Galois Group SU3(3).2 = G2(2) (D.P. Roberts) -- A variant of Weyl?s Inequality for Systems of Forms and Applications (D. Schindler) -- The Breuil-Schneider Conjecture, a Survey (C.M. Sorensen). 330 $aThe theory of numbers continues to occupy a central place in modern mathematics because of both its long history over many centuries as well as its many diverse applications to other fields such as discrete mathematics, cryptography, and coding theory. The proof by Andrew Wiles (with Richard Taylor) of Fermat?s last theorem published in 1995 illustrates the high level of difficulty of problems encountered in number-theoretic research as well as the usefulness of the new ideas arising from its proof. The thirteenth conference of the Canadian Number Theory Association was held at Carleton University, Ottawa, Ontario, Canada from June 16 to 20, 2014. Ninety-nine talks were presented at the conference on the theme of advances in the theory of numbers. Topics of the talks reflected the diversity of current trends and activities in modern number theory. These topics included modular forms, hypergeometric functions, elliptic curves, distribution of prime numbers, diophantine equations, L-functions, Diophantine approximation, and many more. This volume contains some of the papers presented at the conference. All papers were refereed. The high quality of the articles and their contribution to current research directions make this volume a must for any mathematics library and is particularly relevant to researchers and graduate students with an interest in number theory. The editors hope that this volume will serve as both a resource and an inspiration to future generations of researchers in the theory of numbers. 410 0$aFields Institute Communications,$x1069-5265 ;$v77 606 $aNumber theory 606 $aNumber Theory$3https://scigraph.springernature.com/ontologies/product-market-codes/M25001 608 $aConference papers and proceedings.$2fast 615 0$aNumber theory. 615 14$aNumber Theory. 676 $a512.7 702 $aAlaca$b Ay?e$4edt$4http://id.loc.gov/vocabulary/relators/edt 702 $aAlaca$b ?aban$4edt$4http://id.loc.gov/vocabulary/relators/edt 702 $aWilliams$b Kenneth S$4edt$4http://id.loc.gov/vocabulary/relators/edt 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910300251803321 996 $aAdvances in the theory of numbers$91522467 997 $aUNINA