This book includes many important subjects in number theory, such as Weil conjectures, Riemann-Roch theorem, L-functions, character sum estimates, modular forms, and representation theory.

A London-based dentist may have cracked a centuries-old mathematics puzzle hidden in one of the most famous anatomical ...

In the paper, author considers a new method for constructing the quasi-equilibrium thermodynamics of a system of ...

We present a discontinuous Galerkin pseudospectral time-domain (DG-PSTD) algorithm to solve elastic-/acoustic-wave propagation problems. The developed DG-PSTD algorithm combines the merits of ...

This letter proposes a spherical 3-D Smith Chart suitable for representing both active and passive microwave circuits. Using the mathematical concept of the Riemann sphere, the extended reflection ...

Applications of the residue theorem, Montel's theorem, Cauchy-estimates, solutions to d-bar, Runge's theorem, Cousin I and II, Ahlfors-Schwarz-Pick Lemma, Riemann Mapping Theorem, Möbius ...

The deployment of this project is moved from https://activity-graph.herokuapp.com domain to https://github-readme-activity-graph.cyclic.app. In case https://github-readme-activity-graph.cyclic.app ...

In [33], Weil proved the Riemann-Roch theorem for function fields over a finite field. By contrast, we will prove the Riemann-Roch theorem over an algebraically closed field, and when we need the ...

LinkedIn's Economic Graph Technology, Information and Internet San Francisco , CA 258,946 followers A digital representation of the global economy.

Fermat’s Last Theorem is a mathematical conjecture about integer numbers, while the 3D Pythagoras’ theorem is a mathematical and geometrical proof about real numbers.

An index is a measure (often a numerical value) that can be representative of a particular pattern or state of a system. Climatologists monitor several indices, some ocean-based and some atmospheric, ...