Conjugations of arithmetic automorphic function fields

Automorphic forms for elliptic function

Automorphic forms for elliptic function fields

✍ Oliver Lorscheid 📂 Article 📅 2011 🏛 Springer-Verlag 🌐 French ⚖ 634 KB

Toroidal automorphic forms for function

Toroidal automorphic forms for function fields

✍ Oliver Lorscheid 📂 Article 📅 2012 🏛 The Hebrew University Magnes Press 🌐 English ⚖ 563 KB

Introduction to Arithmetic Theory of Aut

Introduction to Arithmetic Theory of Automorphic Functions

✍ Goro Shimura 📂 Library 📅 1971 🏛 Princeton University Press 🌐 English ⚖ 3 MB

The theory of automorphic forms is playing increasingly important roles in several branches of mathematics, even in physics, and is almost ubiquitous in number theory. This book introduces the reader to the subject and in particular to elliptic modular forms with emphasis on their number-theoretical

Introduction to the arithmetic theory of

Introduction to the arithmetic theory of automorphic functions

✍ Goro Shimura 📂 Library 📅 1971 🏛 Princeton University Press 🌐 English ⚖ 2 MB

The theory of automorphic forms is playing increasingly important roles in several branches of mathematics, even in physics, and is almost ubiquitous in number theory. This book introduces the reader to the subject and in particular to elliptic modular forms with emphasis on their number-theoretical

Function field arithmetic

✍ Dinesh S. Thakur 📂 Library 📅 2004 🏛 World Scientific Publishing Company 🌐 English ⚖ 6 MB

This book provides an exposition of function field arithmetic with emphasis on recent developments concerning Drinfeld modules, the arithmetic of special values of transcendental functions (such as zeta and gamma functions and their interpolations), diophantine approximation and related interesting

Automorphic Forms and Sums of Squares ov

Automorphic Forms and Sums of Squares over Function Fields

✍ Jeffrey Hoffstein; Kathy D. Merrill; Lynne H. Walling 📂 Article 📅 1999 🏛 Elsevier Science 🌐 English ⚖ 206 KB

We develop some of the theory of automorphic forms in the function field setting. As an application, we find formulas for the number of ways a polynomial over a finite field can be written as a sum of k squares, k 2. As a consequence, we show every polynomial can be written as a sum of 4 squares. We