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Number Theory: Fifth Conference of the Canadian
Number Theory Association
Edited by: Rajiv
Gupta, University of British Columbia, Vancouver, BC,
Canada, and Kenneth
S. Williams, Carleton University, Ottawa, ON,
Canada
Description
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 hour-long talk on "Mahler's Measure and
Elliptic Curves". This lecture was open to the public and attracted a
large audience from outside the conference.
Contents
- A. Baragar -- Rational curves with zero self intersection on
certain $K$3 surfaces
- B. C. Berndt and H. H. Chan -- Notes on Ramanujan's singular
moduli
- M.-J. Bertin -- The operator $x +(1/x)-2$ and the reciprocal
integers
- F. Beukers -- Integral points on cubic surfaces
- D. A. Buell -- The last exhaustive computation of class groups
of complex quadratic number fields
- K.-K. Choi and J. D. Vaaler -- Diophantine approximation in
projective space
- R. J. Cook -- Bounds for odd perfect numbers
- W. Duke -- Automorphic $L$-functions in level aspect
- R.-M. Elkenbracht-Huizing, P. L. Montgomery, R. D. Silverman,
R. K. Wackerbarth, and S. S. Wagstaff, Jr. -- The number field
sieve on many computers
- P. Erdös and M. R. Murty -- On the order of $a$ (mod
$p$)
- C. Friesen -- A special case of Cohen-Lenstra heuristics in
function fields
- W. F. Galway -- An asymptotic expansion of Ramanujan
- C. Greither -- Improving Ramachandra's and Levesque's unit
index
- S. Gurak -- On the middle factor of the period polynomial for
finite fields
- A. Ivic and C. Pomerance -- On the distribution of champs
- J. W. Jones and D. P. Roberts -- Sextic number fields with
discriminant $(-1)^j2^a3^b$
- M. Kaneko -- Traces of singular moduli and the Fourier
coefficients of the elliptic modular function $j(\tau)$
- P. Kaplan -- Problème d'Eisenstein pour le conducteur
3
- M. Langevin -- Liens entre le théorème de Mason
et la conjecture $(abc)$
- X.-J. Li -- On the trace of Hecke operators for Maass
forms
- S. Lindhurst -- An analysis of Shanks's algorithm for
computing square roots in finite fields
- M.-C. Liu and T. Wang -- On the equation $a_1p_1 + a_2p_2 +
a_3p_3 = b$ with prime variables in arithmetic progressions
- S. Louboutin and R. A. Mollin -- Solutions to $x^2 - Dy^2 =
Q$
- K. Ono and K. Soundararajan -- Integers represented by ternary
quadratic forms
- P. L. Pacelli -- Some uniformity results following from the
Lang conjectures
- Y. N. Petridis -- Fourier coefficients of cusp forms
- A. J. van der Poorten -- Beer and continued fractions with
periodic periods
- C. J. Smyth -- An inequality for polynomials
- S. H. Son -- Some integrals of theta functions in Ramanujan's
lost notebook
- H. A. Verrill -- Arithmetic of a certain Calabi-Yau
threefold
- L. Ya. Vulakh -- Diophantine approximation in Euclidean
spaces
- M. Waldschmidt -- Transcendance et indépendance
algébrique de valeurs de fonctions modulaires
- S. Wong -- On the rank of ideal class groups
- R. K. Guy -- Conference problems session conducted by J. L.
Selfridge
- P. Ribenboim -- Homework!
- Details:
- Publisher: American Mathematical Society
- Distributor: American Mathematical Society
- Series: CRM Proceedings & Lecture Notes, ISSN:
1065-8580
- Volume: 19
- Publication Year: 1999
- ISBN: 0-8218-0964-4
- Paging: 392 pp.
- Binding: Softcover
- List Price: $110
- Institutional Member Price: $88
- Individual Member Price: $66
- Order Code: CRMP/19
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