Advances in the Theory of Numbers Proceedings of the Thirteenth Conference of the Canadian Number Theory Association /

• Corporate Author: SpringerLink (Online service)
• Other Authors: Alaca, Ayşe (Editor), Alaca, Şaban (Editor), Williams, Kenneth S. (Editor)
• Format: Electronic eBook
• Language: English
• Published: New York, NY : Springer New York : Imprint: Springer, 2015.
• Edition: 1st ed. 2015.
• Series: Fields Institute Communications, 77
• Subjects: Mathematics.; Number theory.; Number Theory.

The 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)...

Table of Contents:

• Preface
• 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).