Atlas home || Conferences | Abstracts | about Atlas

Abstracts

This is an archive of abstracts accepted to this conference. For more listing and sorting options, see the active list.

Contributed talk

Takashi Agoh Voronoï Type Congruences for Bernoulli Numbers and Its Applications
Scott Ahlgren Arithmetic of coefficients of half-integral weight modular forms
Amir Akbary On Non-Vanishing of Symmetric Square L-Functions
Iskander Aliev Diophantine approximations of rationals and related problems
Mahdi Asgari Generic Transfer for Similitude Spinor Groups
Marie José Bertin Mahler's measure and Hecke L-series
Valentin Blomer Estimates for representation numbers of quadratic forms
Matthew Boylan 2-adic properties of traces of singular moduli
Alexander Bruno The proper generalization of the continued fraction
Perlas Cabarrubias-Caranay A Note on Williams' Proof of Scholz's Biquadratic Reciprocity Law
David Cardon An equivalence for the Riemann Hypothesis in terms of orthogonal polynomials
James Carter Steinitz classes in generalized quaternion extensions
Stephen Choi Quadratic Equations With Five Prime Unknowns
Ernie Croot Reciprocal Power Sums Modulo a Prime
John Cullinan A Local-Global Principle for Torsion points on Abelian Varieties
Lassina Dembele Quaternionic M-symbols, Brandt matrices and Hilbert modular forms
Rainer Dietmann systems of cubic forms
Darrin Doud Even icosahedral Galois representations of prime conductor
Griff Elder On the necessity of new ramification breaks
Christian Elsholtz Maximal Sets of Unit-distant Points
Sharon Frechette Gaussian Hypergeometric Series and Traces of Hecke Operators
Clemens Fuchs Complete solution of a problem of Diophantus and Euler
Lenny Fukshansky Siegel's Lemma with additional conditions
Alexandru Ghitza Some results on Siegel Hecke eigensystems (mod p)
P. Guerzhoy Ramanujan differential operator, certain CM elliptic curve and Kummer congruences
Li Guo Baxter algebras and number theory
Stan Gurak Polynomials for Kloosterman Sums
David Helm Analogues of character groups for Hilbert Modular Varieties
Paul Jenkins Asymptotics of Traces of Singular Moduli
Lenny Jones Deterministic Primality Tests: Some Old, Some New
Martin Juras Eisenstein-Dumas criterion for irreducibility and linear transformations
Hendrik Kasten A Stickelberger-Index for the Tate-Shafarevich Group
Mizan R Khan On the Maximal Difference between an Element and its Inverse in Residue Rings
Behrooz Khosravi On The Diophantine Equation (qⁿ+1) / (q+1)=y
Angel Kumchev The large sieve in additive prime number theory
Jung-Jo Lee A remark on Honda's conjecture
Vsevolod F. Lev On continuous postage stamping
Adam Logan Computing the Brauer obstruction on del Pezzo surfaces of degree 4
Ling Long On Atkin-Swinnerton-Dyer congruence relations
Stephane Louboutin Explicit upper bounds for |L(1, \chi)|
Florian Luca Totients with special arithmetic properties
Karl Mahlburg Arithmetic of Certain Hypergeometric Modular Forms
Nikolai Moshchevitin Distribution of the Kronecker sequence and related Diophantine problems
Michael Mossinghoff Lehmer's problem for polynomials with odd coefficients
Siguna Mueller Probabilistic primality testing - who cares?
Nathan Ng Large gaps between the zeros of the Riemann zeta function
Alexandra Nichifor Consequences of Kida's Formula for Non-Primitive Iwasawa Modules
Allison M. Pacelli Subgroups of Any Order in Class Groups of Global Function Fields
Amilcar Pacheco On the rank of abelian varieties over function fields
Matthew Papanikolas The Carlitz motive and Carlitz logarithms
Scott Parsell Counting rational linear spaces on hypersurfaces
Vladimir Parusnikov Comparison of several generalizations of the continued fraction
Sebastian Pauli Computing residue class rings and Picard groups of orders
Sebastian Petersen On a Question of Jarden and Frey about Ranks of Abelian Varieties
Akos Pinter On power values of power sums
Janos Pintz Explicit formulas and the exceptional set in Goldbach's problem
Andrei M. Raigorodskii On a problem of P. Erdös
David P. Roberts Singular Primes for Three Point Covers
Leanne Robertson Class numbers of real cyclotomic fields
Reginald Sawilla Fast Ideal Arithmetic In Real Quadratic Fields
Jonathan Sondow Conditional Irrationality Bases for log(Pi) and Euler's Constant
Holly Swisher The Andrews-Stanley Partition Function and p(n)
Alain Togbe A Parametric Family of Cubic Thue Equations
Hans J. H. Tuenter The Frobenius Problem, Sums of Powers of Integers, and Recurrences for the Bernoulli Numbers
Alexandru Tupan Positivity for Satake coefficients
Siman Wong Specializations of one-parameter families of polynomials
Takao Yamazaki On Chow and Brauer groups of surfaces over local fields
Yifan Yang Construction and application of a class of modular functions

Special session talk

Laurent Berger Filtered (phi, N)-modules and modules over the Robba ring
Daniel J. Bernstein Doubly focused enumeration in two dimensions
David Boyd Computing A-polynomials using Puiseux expansions
Andrew Bremner On squares in Lucas sequences
Nils Bruin Bounding Mordell-Weil ranks using Visualisation
Armand Brumer Semistable abelian varieties of prime power conductor
Yann Bugeaud Fibonacci powers are 1, 8, and 144, only.
Imin Chen Diophantine equations associated to modular curves of small level
Brian Conrad Root numbers and ranks over global function fields
Karl Dilcher Parametric solutions of the Diophantine equation x³ + D*y³ = 1
Jordan Ellenberg Counting number fields of bounded discriminant
Jan-Hendrik Evertse Linear equations with unknowns from a multiplicative group of finite rank whose solutions lie in a few subspaces
Kevin Ford The distribution of integers with a divisor in a given interval
Dan Goldston Small Gaps Between Primes
Cornelius Greither A conjecture concerning minus parts in the spirit of Gross
Kálmán Gyory Polynomials and binary forms with given discriminant
Kiran Kedlaya Solving p-adic differential equations on two-dimensional bases
Hershy Kisilevsky Dirichlet Twists of Elliptic L-Functions
Greg Martin Inequities in the Shanks-Renyi Prime Number Race
Hugh Montgomery A multiplicative miscellany
Kumar Murty Bounded generation of SL(n)
Ram Murty Sieve Methods in Combinatorics
George Pappas The Steinitz class of weight 2 cusp forms
Carl Pomerance Error estimates for the Davenport-Heilbronn theorems
Bjorn Poonen x^2 + y^3 = z^7
Niranjan Ramachandran Special values of zeta functions of varieties over finite fields
Gael Remond Beyond rational points
Jürgen Ritter Toward equivariant Iwasawa theory
Damien Roy On a class of numbers
Jonathan W. Sands Popescu's Conjecture and Multi-Quadratic Extensions of Number Fields
David Savitt A conjecture of Conrad, Diamond, and Taylor
Renate Scheidler Construction of Hyperelliptic Function Fields of High Three Rank
Edlyn Teske Point counting on Picard curves in large characteristic
Jeffrey Thunder Siegel's Lemma and Hermite's Constant for Function Fields
Gary Walsh Diophantine applications of Bennett's abc theorem
Tom Weston Selmer groups of Galois deformations
Trevor Wooley Arithmetic variants of the inequalities of Bessel and Hausdorff-Young
Umberto Zannier On the continued fractions for the powers of a given number

Plenary talk

Michael Bennett Diophantine equations after Wiles
Enrico Bombieri Zeros of Epstein zeta functions off the critical line. A survey.
Matthias Flach A geometric example of non-abelian Iwasawa theory
Andrew Granville Large character sums: How big and where?
Ben Green Arithmetic progressions of primes
Ralph Greenberg p-Adic Artin L-functions
D.R. Heath-Brown Counting Rational Points on Algebraic Varieties
Henryk Iwaniec Asymptotic Large Sieve
Hendrik Lenstra New algorithms for finite fields
Yuri V. Nesterenko Theta-functions and transcendence
Hans-Peter Schlickewei Applications of the Subspace Theorem
Wolfgang M. Schmidt Diophantine approximation by algebraic hypersurfaces
René Schoof Abelian varieties over Q with good reduction outside 11 and and semistable reduction at 11
Vinayak Vatsal Mazur's conjecture over totally real fields

© 2006 Atlas Conferences Inc.