We describe higher dimensional generalizations of Ramanujans classical differential relations satisfied by the Eisenstein series E2, E4, E6. Such higher Ramanujan equations are given geometrically in terms of vector fields living on certain modul...Daugiau...
Use mathematical analysis in the real world Finite math takes everything youve learned in your previous math courses and brings them together into one course with a focus on organizing and analyzing information, creating mathematica...Daugiau...
After a remembrance of Momose and an overview of his mathematical work, 11 papers explore the arithmetic of modular curves and abelian varieties, along with related areas of mathematics that interested him. Among the topics are quadratic points o...Daugiau...
This book is an account of the classical theory of quadratic residues and non-residues with the goal of using that theory as a window through which to view the development of some of the fundamental methods employed in modern elementary, algebra...Daugiau...
Editors A. C. Cojocaru, C. David, and F. Pappalardi present readers with a text highlighting presentations at a conference given in honor of the sixtieth birthday of mathematician M. Ram Murty in Montral, Canada in October of 2013. The selections...Daugiau...
Presents in full detail the proof of Fermats Last Theorem given by Wiles and Taylor. With these two books, the reader will be able to see the whole picture of the proof to appreciate one of the greatest achievements in the history of mathematics. C...Daugiau...
In the margins of a book, Pierre de Fermat (1601-65) claimed that he had a mathematical proof that was too large to fit the margin, but it was not until 1994 that other mathematicians proved what had become known as Fermats Last Theorem. Saito (math...Daugiau...
The conference was called to mark the 60th birthday of Freydoon Shahidi and his three decades of contribution to number theory, automorphic forms, harmonic analysis, and most particularly the Langlands-Shahidi method of addressing problems in these a...Daugiau...
The text grew out of lecture notes for a course Lozano-Robledo taught at an undergraduate summer school as part of the 2009 Park City Mathematics Institute. It is an introductory survey of the theory of elliptic curves, modular forms, and their Lfunc...Daugiau...
