By Baskar Balasubramanyam,Haruzo Hida,A Raghuram,Jacques Tilouine,HIDA HARUZO ET AL

The target of this booklet is to provide a scientific exposition of ends up in a few vital circumstances the place p-adic households and p-adic L-functions are studied. We first examine p-adic households within the following circumstances: common linear teams, symplectic teams and certain unitary teams. We additionally examine purposes of this concept to modularity lifting difficulties. We eventually ponder p-adic L-functions for GL(2), the p-adic adjoint L-functions and a few circumstances of upper GL(n).

Contents:

  • An review of Serre's p-Adic Modular varieties (Miljan Brakočević and R Sujatha)
  • p-Adic households of normal Siegel Cusp types (Jacques Tilouine)
  • Ordinary households of Automorphic varieties on certain Unitary teams (Baskar Balasubramanyam and Dipramit Majumdar)
  • Notes on Modularity Lifting within the traditional Case (David Geraghty)
  • p-Adic L-Functions for Hilbert Modular kinds (Mladen Dimitrov)
  • Arithmetic of Adjoint L-Values (Haruzo Hida)
  • p-Adic L-Functions for GLn (Debargha Banerjee and A Raghuram)
  • Non-Triviality of Generalised Heegner Cycles Over Anticyclotomic Towers: A Survey (Ashay A Burungale)
  • The Euler approach of Heegner issues and p-Adic L-Functions (Ming-Lun Hsieh)
  • Non-Commutative q-Expansions (Mahesh Kakde)

Readership: Researchers in algebra and quantity theory.

Show description

Read Online or Download P-ADIC ASPECTS OF MODULAR FORMS PDF

Best number theory books

New PDF release: Computations with Modular Forms: Proceedings of a Summer

This quantity comprises unique learn articles, survey articles and lecture notes concerning the Computations with Modular varieties 2011 summer time college and convention, held on the college of Heidelberg. A key subject of the convention and summer season college was once the interaction among concept, algorithms and scan.

Download e-book for kindle: Arithmetic Geometry over Global Function Fields (Advanced by Gebhard Böckle,David Burns,David Goss,Dinesh Thakur,Fabien

This quantity collects the texts of 5 classes given within the mathematics Geometry study Programme 2009-2010 on the CRM Barcelona. them all take care of attribute p international fields; the typical topic round which they're based is the mathematics of L-functions (and different unique functions), investigated in numerous facets.

Download e-book for kindle: Rational Points on Elliptic Curves (Undergraduate Texts in by Joseph H. Silverman,John T. Tate

The idea of elliptic curves includes a delightful combination of algebra, geometry, research, and quantity conception. This quantity stresses this interaction because it develops the elemental conception, thereby supplying a chance for complex undergraduates to understand the harmony of contemporary arithmetic. even as, each attempt has been made to take advantage of purely tools and effects normally incorporated within the undergraduate curriculum.

Download e-book for iPad: Numberama: Recreational Number Theory in the School System by Elliot Benjamin

Numberama: leisure quantity concept within the institution method provides quantity styles and mathematical formulation that may be taught to young ones in faculties. The quantity theories and difficulties are strengthened by way of stress-free video games that youngsters can play to augment their studying in a fun-loving method. Key beneficial properties of the e-book include:information a few variety of famous quantity thought difficulties akin to Fibonaccci numbers, triangular numbers, excellent numbers, sums of squares, and Diophantine equationsorganized presentation in response to ability point for simple understandingall easy mathematical operations for straight forward tuition childrena variety of algebraic formulae for heart university studentsdescriptions of optimistic suggestions and testimonials the place leisure quantity conception has been potent in faculties and schooling programsThis publication is an invaluable instruction manual for straight forward and middle-school academics, scholars, and fogeys who may be in a position to adventure the inherent joys introduced via instructing quantity thought to childrens in a leisure means.

Additional info for P-ADIC ASPECTS OF MODULAR FORMS

Example text

Download PDF sample

P-ADIC ASPECTS OF MODULAR FORMS by Baskar Balasubramanyam,Haruzo Hida,A Raghuram,Jacques Tilouine,HIDA HARUZO ET AL


by Daniel
4.2

Rated 5.00 of 5 – based on 30 votes