Giuliana Davidoff

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Steven J. Miller

Williams College

Andrej Dujella

University of Zagreb

Thomas Britz

The University of New South Wales

Udayan Prajapati

St. Xavier's College, Ahmedabad

Omran Kouba

Higher Institute of Applied Sciences and Technology (HIAST)

Umberto Cerruti

Università degli Studi di Torino

Nikos Mantzakouras

National & Kapodistrian University of Athens

Adnan Awad

The University Of Jordan

Nasreen Kausar

Yildiz Technical University

Tomasz Szemberg

University of the National Education Commission in Krakow

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Papers by Giuliana Davidoff

An Overview

Cambridge University Press eBooks, 2001

The Geometry of Numbers: Bibliography

The Geometry of Numbers: Preface

The Geometry of Numbers

Mathematical Gazette, 2002

context of the square root function and fractional powers, only to be returned to throughout the ... more context of the square root function and fractional powers, only to be returned to throughout the book in different contexts. This approach allows the students to become more and more comfortable with the ideas as they are led along a 'spiral' path. Such a philosophy is a refreshing antidote to the modular blindfold which has bedevilled the A level curriculum over the past ten years and which has led to both a fragmentation and an impoverishment of the syllabus. I can certainly recommend this book to all those who wish to experience (in the author's own words) the 'fascinating and wonderful world' of complex analysis, 'filled with broad avenues and narrow backstreets leading to intellectual excitement'.

The completed standard $L$-function of modular forms on $G_2$

Modular forms on the split exceptional group G2 over Q are a special class of automorphic forms o... more Modular forms on the split exceptional group G2 over Q are a special class of automorphic forms on this group, which were introduced by Gan, Gross, and Savin. If π is a cuspidal automorphic representation of G2(A) corresponding to a level one, even weight modular form φ on G2, we define an associated completed standard L-function, Λ(π, Std, s). Assuming that a certain Fourier coefficient of φ is nonzero, we prove the functional equation Λ(π, Std, s) = Λ(π, Std, 1 − s). The proof proceeds via a careful analysis of a Rankin-Selberg integral due to Gurevich and Segal.

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