Softcover ISBN:  9780821809648 
Product Code:  CRMP/19 
List Price:  $128.00 
MAA Member Price:  $115.20 
AMS Member Price:  $102.40 
Electronic ISBN:  9781470439330 
Product Code:  CRMP/19.E 
List Price:  $128.00 
MAA Member Price:  $115.20 
AMS Member Price:  $102.40 

Book DetailsCRM Proceedings & Lecture NotesVolume: 19; 1999; 392 ppMSC: Primary 11;
This book contains papers presented at the fifth Canadian Number Theory Association (CNTA) conference held at Carleton University (Ottawa, ON). The invited speakers focused on arithmetic algebraic geometry and elliptic curves, diophantine problems, analytic number theory, and algebraic and computational number theory. The contributed talks represented a wide variety of areas in number theory. David Boyd gave an hourlong talk on “Mahler's Measure and Elliptic Curves”. This lecture was open to the public and attracted a large audience from outside the conference.
ReadershipGraduate students and research mathematicians working in number theory and related fields.

Table of Contents

Chapters

Rational curves with zero self intersection on certain $K$3 surfaces

Notes on Ramanujan’s singular moduli

The operator $x +(1/x)2$ and the reciprocal integers

Integral points on cubic surfaces

The last exhaustive computation of class groups of complex quadratic number fields

Diophantine approximation in projective space

Bounds for odd perfect numbers

Automorphic $L$functions in level aspect

The number field sieve on many computers

On the order of $a$ (mod $p$)

A special case of CohenLenstra heuristics in function fields

An asymptotic expansion of Ramanujan

Improving Ramachandra’s and Levesque’s unit index

On the middle factor of the period polynomial for finite fields

On the distribution of champs

Sextic number fields with discriminant $(1)^j2^a3^b$

Traces of singular moduli and the Fourier coefficients of the elliptic modular function $j(\tau )$

Problème d’Eisenstein pour le conducteur 3

Liens entre le théorème de Mason et la conjecture $(abc)$

On the trace of Hecke operators for Maass forms

An analysis of Shanks’s algorithm for computing square roots in finite fields

On the equation $a_1p_1 + a_2p_2 + a_3p_3 = b$ with prime variables in arithmetic progressions

Solutions to $x^2  Dy^2 = Q$

Integers represented by ternary quadratic forms

Some uniformity results following from the Lang conjectures

Fourier coefficients of cusp forms

Beer and continued fractions with periodic periods

An inequality for polynomials

Some integrals of theta functions in Ramanujan’s lost notebook

Arithmetic of a certain CalabiYau threefold

Diophantine approximation in Euclidean spaces

Transcendance et indépendance algébrique de valeurs de fonctions modulaires

On the rank of ideal class groups

Conference problems session conducted by J. L. Selfridge

Homework!


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This book contains papers presented at the fifth Canadian Number Theory Association (CNTA) conference held at Carleton University (Ottawa, ON). The invited speakers focused on arithmetic algebraic geometry and elliptic curves, diophantine problems, analytic number theory, and algebraic and computational number theory. The contributed talks represented a wide variety of areas in number theory. David Boyd gave an hourlong talk on “Mahler's Measure and Elliptic Curves”. This lecture was open to the public and attracted a large audience from outside the conference.
Graduate students and research mathematicians working in number theory and related fields.

Chapters

Rational curves with zero self intersection on certain $K$3 surfaces

Notes on Ramanujan’s singular moduli

The operator $x +(1/x)2$ and the reciprocal integers

Integral points on cubic surfaces

The last exhaustive computation of class groups of complex quadratic number fields

Diophantine approximation in projective space

Bounds for odd perfect numbers

Automorphic $L$functions in level aspect

The number field sieve on many computers

On the order of $a$ (mod $p$)

A special case of CohenLenstra heuristics in function fields

An asymptotic expansion of Ramanujan

Improving Ramachandra’s and Levesque’s unit index

On the middle factor of the period polynomial for finite fields

On the distribution of champs

Sextic number fields with discriminant $(1)^j2^a3^b$

Traces of singular moduli and the Fourier coefficients of the elliptic modular function $j(\tau )$

Problème d’Eisenstein pour le conducteur 3

Liens entre le théorème de Mason et la conjecture $(abc)$

On the trace of Hecke operators for Maass forms

An analysis of Shanks’s algorithm for computing square roots in finite fields

On the equation $a_1p_1 + a_2p_2 + a_3p_3 = b$ with prime variables in arithmetic progressions

Solutions to $x^2  Dy^2 = Q$

Integers represented by ternary quadratic forms

Some uniformity results following from the Lang conjectures

Fourier coefficients of cusp forms

Beer and continued fractions with periodic periods

An inequality for polynomials

Some integrals of theta functions in Ramanujan’s lost notebook

Arithmetic of a certain CalabiYau threefold

Diophantine approximation in Euclidean spaces

Transcendance et indépendance algébrique de valeurs de fonctions modulaires

On the rank of ideal class groups

Conference problems session conducted by J. L. Selfridge

Homework!