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25th Journées Arithmétiques
July 2-6, 2007
University of Edinburgh and ICMS
Edinburgh, Scotland, UK

Organizers
John Cremona, George Greaves, Chris Smyth

Conference Homepage

Abstracts

Boudaoud Abdelmadjid An algorithm of unidimensional diophantine approximation with simultaneous control of the error and the denominator
Shabnam Akhtari The Method of Thue-Siegel for binary quartic forms
Anna Arnth-Jensen Non-trivial Sha in the Jacobian of an infinite family of curves of genus 2
Maria Avdeeva The upper bound for the relative minima number of integral lattices
Christian Ballot Prime factors of third order recurring sequences
Andrea Bandini Control theorem and Main Conjecture for elliptic curves over function fields
Burcu Baran A Modular Curve of Level 9 and The Class Number One Problem
Francesc Bars Coleman's power series and Wiles' reciprocity for rank 1 Drinfeld modules
Pierre Bel P-adic hurwitz zeta function and irrationality
Tatiana Beliaeva Weil Numbers and Gauss sums
Jean-Robert Belliard Units class group.
Attila Bérczes On pairs of polynomials and binary forms with given resultant
Tobias Berger Congruences between modular forms over imaginary quadratic fields
Gautami Bhowmik On the Alon-Dubiner Constant
Enrico Bombieri Problems and results on the distribution of algebraic points on algebraic varieties
Peter Borwein Littlewood's 22nd Problem
Eliot Brenner Artin Formalism, for Kleinian Groups, via Heat Kernel Methods
Régis de la Bretèche Height zeta functions and rational points on algebraic varieties
Clement Bruche Steinitz classes of nonabelian extensions of degree p3
Jörg Brüdern Pairs of cubic forms
Chieh-Yu Chang On algebraic relations among special zeta values in characteristic p
Alina Carmen Cojocaru Twin prime questions for elliptic curves
Pierre Colmez On the p-adic local Langlands correspondence for GL2(Qp)
John Cullinan Algebraic Properties of a Family of Jacobi Polynomials
Emmanuel Delsinne Height over abelian extensions
Jeroen Demeyer Enumerating ABC-triples
Christina Diehl On a Dirichlet series whose summatory function counts lattice points in a cone
Rainer Dietmann Simultaneous Diophantine approximation by square-free numbers
Luis Dieulefait Existence of families, base change of deformation rings and the first cases of Fontaine-Mazur's and Serre's conjectures
Tim Dokchitser Parity Conjecture for elliptic curves
Jean Claude Douai Sur la 2-Cohomologie non abelienne des modeles reguliers des anneaux locaux henseliens
Paulius Drungilas Unimodular roots of reciprocal Littlewood polynomials
Andrej Dujella Mordell-Weil groups of elliptic curves induced by Diophantine triples
Sylvain Duquesne RNS representation applied to elliptic curve cryptography
Frédéric Edoukou Error-Correcting codes from higher dimensional non-singular varieties
Griff Elder On wild ramification in nonabelian extensions
Driss Essouabri Mixed zeta functions and applications.
Mátyás Ferenc On the zeros of polynomials defined by special linear recursions
Ron Ferguson Low autocorrelation problems
Alan Filipin There does not exist a D(4)-sextuple
Tom Fisher Eight descent on elliptic curves
David Ford Computation of Transformation Matrices for the Frobenius Form of a Matrix
Francois Foucault Hyperelliptic curves and the Kodaira-Spencer map
Zrinka Franušić The problem of Diophantus in some quadratic fields
Sophie Frisch Different kinds of polynomial parametrization: integer-valued vs. integer coefficients.
Takashi Fukuda On the Iwasawa l-invariant of the cyclotomic Z2-extension of Q(√p)
Wojciech Gajda On the image of Galois representations and the Hodge conjecture for abelian varieties
Luis Gallardo Every strict sum of cubes in F4[t] is a strict sum of 6 cubes.
Alexandru Gica Quadratic residues, lengths and class numbers.
Cristian D. Gonzalez-Aviles The Capitulation Problem for algebraic tori
Olga Gorkusha Analogue of Heilbronn’s theorem for the Minkowskii’s finite continued fractions.
Andrew Granville Pretentiousness in the distribution of prime numbers
David Gruenewald Computing Humbert Surfaces
Stan Gurak Gauss sums for prime powers in p-adic fields
Philipp Habegger A Bogomolov Property Modulo Algebraic Subgroups
C. Douglas Haessig On the p-adic meromorphy of the function field height zeta function
Lajos Hajdu Perfect powers in arithmetic progressions
Tuomas Hakkarainen On the computation of the class numbers of real abelian fields
Dr. Karin Halupczok On the ternary Goldbach problem with primes in arithmetic progressions of a common module
Kevin Hare Patterns and Periodicity in a Family of Resultants
Titus Hilberdink Well-behaved Beurling primes and integers
Jan Hilmar Polynomials with all roots in an interval and the transfinite diameters.
Marc Hindry An analog of the Brauer-Siegel Theorem for abelian varieties over function fields in characteristic p
Mikihito Hirabayashi Determinant formula for the quotient of the relative class numbers of an imaginary abelian number field and its quadratic extension
Mark van Hoeij The complexity of factoring univariate polynomials over the rationals.
Hamish Ivey-Law Bounding heights relative to a patchwork morphism
Aleksandar Ivić The Riemann zeta-function and the divisor problem
Borka Jadrijević On a parametric family of Thue inequalities over function fields
Algirdas Javtokas On bicomplex Hurwitz zeta-function
S. Jean Witt vectors over local fields of positive characteristic and conjugacy classes of finite cyclic subgroups in the Nottingham group
Rafe Jones Arboreal Galois representations of abelian algebraic groups
Frédéric Jouhet q-analogues of two problems of divisibility through Bailey's lemma
Oleg Karpenkov Basic notions of lattice trigonometry
Kiran Kedlaya Some new directions in p-adic Hodge theory
Masanari Kida Descent Kummer theory via Weil restriction of multiplicative groups
Mark Kisin Integral canonical models of Shimura varieties
Krzysztof Klosin Congruences among automorphic forms on unitary groups and the Bloch-Kato conjecture
David R Kohel Field of moduli and fields of definitions for genus 3 curves
Simon Kristensen A Diophantine exponent for mildly restricted approximation
Stefan Kühnlein On a noncommutative aspect of modular curves
Matilde N. Lalin Functional equations for Mahler measures of genus-one curves
A. Languasco On the sum of two primes and k powers of two
Alan Lauder Ranks of elliptic curves over function fields
Teik-Cheng Lim Continued Nested Radical Fractions
Kálmán Liptai Some results on balancing numbers
David Loeffler p-adic automorphic forms and eigenvarieties for compact reductive groups
Jeremy Lovejoy Rank differences for overpartitions
Greg Martin Inequities in the Shanks-Rényi prime number race
Guillaume Maurin Multiplicative case of Zilber-Pink conjecture for curves
Bertrand Meyer Perfection and eutaxy for generalised Hermite constants
Carl Miller Etale cohomology on a characteristic-p curve
Josep M. Miret Computing isogenies between elliptic curves
Jorge Morales Isospectral Ternary Quadratic Forms over F[T]
Eric Mortenson On the broken 1-diamond partition.
Elie Mosaki On large families of subsets of the set of the integers not exceding N with strong pseudo-random properties.
Nikolai Moshchevitin Brocot sequences, Minkowski question function and multidimensional Farey-Brocot partitions
Nadia El Mrabet Pairings : an arithmetical point of vue. (Couplage : un point de vue arithmétique.)
Ritabrata Munshi Density of Rational Points on Châtelet Surfaces
Salah Najib Irreducibility of Hypersurfaces
Melvyn B. Nathanson Heights on the projective line over a finite field
Sebastien Pagelot Local distribution of rational points of bounded height on Fano varieties
Willem-Jan Palenstijn Computing primitive root densities of rank one tori
Matthew Papanikolas Difference Galois groups and periods of Drinfeld modules
Fabien Pazuki A conjecture by S.Lang and J.Silverman.
Antonella Perucca The l-adic support problem for abelian varieties
Khodabakhsh Hessami Pilehrood Apéry-like recursion and continued fraction for pcothp.
Tatiana Hessami Pilehrood On transcendence of certain infinite series
János Pintz Landau's problem on primes
Bernat Plans Generic Galois extensions for the binary icosahedral group
Sabine Poehler Two additive quartic forms
Jordi Pujolàs An algorithm to determine the 2-Sylow subgroup of Jacobians of genus 2 curves over binary fields.
Gabriele Ranieri Power integral bases for prime-power cyclotomic fields
Gaël Rémond Around the Zilber-Pink conjecture
Guillaume Ricotta Statistics for low-lying zeros of symmetric power L-functions in the level aspect
Joel Rivat On Gelfond's conjecture about the sum of digits of prime numbers.
Hatice Sahinoglu Class number formulas
Fumio Sairaiji Formal groups of building blocks completely defined over finite abelian extensions of Q
Csaba Sandor A note on a conjecture of Erdös-Turán
Iekata Shiokawa Euler's formula for the Fibonacci zeta function
Samir Siksek Diophantine Equations after Fermat's Theorem
Joseph H. Silverman A local-global principle in arithmetic dynamics
Jack Sonn Polynomials with roots in Qp for all p
Marco Streng Divisibility Sequences for Elliptic Curves with Complex Multiplication
Andrea Surroca Elliptic logarithms, diophantine approximation and the Birch and Swinnerton-Dyer conjecture
Jan Šustek Metric Results on Special Infinite Series Expansions
Nobuhiro Terai On the exponential Diophantine equation ax + dby=cz
Lara Thomas A valuation criterion for normal basis generators in characteristic p
Jimi Lee Truelsen Quantum Unique Ergodicity for Eisenstein Series on the Hilbert Modular Group over a Totally Real Field
Paul Truman Hopf Algebras In Galois Module Theory
Fnag-Ting Tu Defining equations of X0(22n).
Tom Tucker Intersections of polynomial orbits, and a dynamical Mordell-Lang conjecture
Jorge Jimenez Urroz Torsion subgroup of elliptic curves in quadratic number fields
Alexey Ustinov Asymptotics for the first and second moments of the number of steps in Euclidean algorithm
Romain Validire Galois descent for étale wild kernels
Jean-Louis Verger-Gaugry On the dichotomy of Perron numbers and beta-conjugates
Damien Vergnaud Extraction rate of transcendental bias
Stéphane Vinatier Permuting the partitions of a prime
Galina Voskresenskaya Modular forms with multiplicative coefficients and their arithmetic properties
Paul Voutier The number of families of solutions of norm form equations
Gary Walsh Integer points on families of quartic curves
Nigel Watt A mean value of Hecke L-functions
David Whitehouse Applications of the relative trace formula to central L-values
Ley Wilson Quaternion Algebras and Q-Curves
Christiaan van de Woestijne Exact values for Waring's problem in finite fields
Andrei Yafaev The Andre-Oort conjecture
Alessandro Zaccagnini On the Mertens product for arithmetic progressions
Liangyi Zhao On primes in quadratic progressions
Volker Ziegler The unit sum number problem for number fields


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