Explore a mathematical lecture delving into the work of G.H. Hardy and J.E. Littlewood on an important series and its expansion using Bessel functions. Discover how this formula fits into a broader mathematical context, connecting it to Beurling's theorem on the Riemann zeta function and the zeta function of certain ternary quadratic forms. Learn about the speaker's collaborative research with Roger Gay, which expands upon the original work published in the Proceedings of the London Mathematical Society. Gain insights into advanced mathematical concepts related to series theory, Bessel functions, and zeta functions during this 43-minute semi-plenary talk presented by Ahmed Sebbar from Chapman University.
Overview
Syllabus
(Semi-Plenary) Ahmed Sebbar - On a Function of G.H. Hardy and J.E. Littlewood
Taught by
Schmid College, Chapman University
Related Courses
-
On the Hardy Littlewood 3-Tuple Prime Conjecture and Convolutions of Ramanujan Sums
-
On the Riemann Zeta-Function, Fourier Optimization and Quadratic Forms
-
The Eighth and Shifted Moments of the Riemann Zeta Function
-
Visualizing the Riemann Zeta Function and Analytic Continuation
-
Some Identities Involving the Riemann-Zeta Function
-
Second Moment of the GL_3 Standard L-function on the Critical Line
