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Abstracts

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

Amod Agashe On the Birch and Swinnerton-Dyer formula for quotients of J₀(N)
Adebisi Agboola Galois modules and arithmetic varieties
Scott Ahlgren Distribution of the partition function modulo composite integers M
Krishnaswami Alladi Going beyond the partition theorem of Göllnitz - an exciting voyage.
Johan Andersson A Poisson summation formula for SL(2, Z)
George Andrews Partition Problems: Old and New
Roger C. Baker Small fractional parts of quadratic forms
Eugenio P. Balanzario On Dirichlet Series, Fourier Series and Functional Equations
Michel Balazard Nyman's criterion for the Riemann hypothesis
Antal Balog Sum sets covering squares
Alexander Berkovich Four parameter generalization of Goellnitz (big) partition theorem. Outline of the Proof.
D. J. Bernstein Arbitrarily precise bounds on the distribution of smooth integers
Ed Bertram New elementary estimates for the product of primes
Frits Beukers Diophantine equations in roots of unity
Jean Bourgain On large value estimates for Dirichlet sums and the density hypothesis for the zeta function
Douglas Bowman Resolution of some multiple zeta conjectures
David W. Boyd Special Values of Mahler's measure
Matthew G. Boylan Some Parity Results for 2^t-Cores
Barry Brent Modular forms and quadratic minima at level two
W. Dale Brownawell Algebraic Independence of Gamma Values in Positive Characteristic
Jörg Brüdern A new method for binary additive problems
Yann Bugeaud Recent progress in solving exponential Diophantine equations
David Cardon Entire functions with zeros on a line
Heng Huat Chan A new class of series for 1/\pi
Jung Hee Cheon Supersingular curves and its application
Ted Chinburg Discriminants and Arakelov Euler characteristics
YoungJu Choie Modular forms and their applications
Todd Cochrane Exponential sums modulo prime powers
Paolo Codecà \Omega results for \Delta(x, n) = \sum'_{n < xN} 1 - x j(N) and the non-vanishing of L(1, \chi)
Paula Cohen Fuchsian groups and transcendence
Brian Conrey Mean values of L-functions and symmetry
Wendell Culp-Ressler Reduction of \lambda-binary quadratic forms
Stephan Daniel Short mean values of products of multiplicative functions
Morley Davidson Open problems on the zero distribution of partition polynomials
Rainer Dietmann Small fractional parts of cubic forms
Karl Dilcher Bernoulli numbers and confluent hypergeometric functions
Darrin Doud Computational Evidence for a conjecture of Ash and Sinnott
Minking Eie Applications of Bernoulli Identities to Kummer-type Congruences
Griff Elder Ideals in wild extensions over tame group rings
Peter D. T. A. Elliott On the least prime primitive root .
Christian Elsholtz Upper bounds for the number of long prime tuples
Larry Ericksen q-Series Moments and Cumulants
Ron Evans Twisted Kloosterman sums over rings
Jan-Hendrik Evertse On inequalities involving resultants
Keqin Feng Generalized Bent Functions and Class Numbers
Michael Filaseta On coverings of the integers associated with an irreducibility theorem of A. Schinzel
Kevin Ford Almost primes, shifted primes and primes in progressions
Eric Freeman Asymptotic Lower Bounds for Diophantine Inequalities
Gregory A. Freiman Structure Theory of Set Addition. Results and Problems
Frank Garvan More shifted partition identities
Emiliano Gomez Deformations of Pseudorepresentations
Basil Gordon Congruences of Swinnerton-Dyer Type (iii) for the Fourier coefficients of modular forms
David Goss A Riemann hypothesis and simplicity conjecture for characteristic p L-series
Fernando Q. Gouvêa Finding the Slopes
Ronald Graham Extremal pattern-free sets of integers, and other favorite problems of Erdös
David Grant Manin-Mumford problems in genus two (and one?)
Andrew Granville The distribution of primes
George Greaves The sum of multiplicative functions occurring in Selberg's sieve
Jim Hafner Hecke operators for Siegel modular forms
H. Halberstam A comparison of two sieves
J. Hanumanthachari Certain ordered algebraic structures
Glyn Harman One hundred years of normal numbers
Roger Heath-Brown Counting rational points on curves and surfaces
Charles Helou A recprocity relation between some cyclotomic numbers
Doug Hensley The linear operators and ergodic theory of continued fractions with restricted partial quotients
C. Hooley On theorems of Barban-Davenport-Halberstam type
Martin Huxley Integer points close to curves and the circle and divisor problems
Georg Illies Euler products and abstract trace formulas
Koichi Kawada On the genuine and quasi Waring-Goldbach problems.
Michael P. Knapp Additive Forms of Different Degrees
Helmut Koch Cubic number fields
Winfried Kohnen Special values of Koecher-Maass series
Anguel Koumtchev Diophantine approximation by cubes of primes and an almost prime
Jeffrey C. Lagarias Analytic properties of the van der Geer- Schoof zeta function
Winnie Li Recent developments in automorphic forms
Xian-Jin Li On exceptional eigenvalues of the Laplacian for congruence subgroups
Wen-Chin Liaw On Ramanujan's Quartic Theory of Elliptic Functions
Ling Long The "Modularity" conjecture of certain two dimensional varieties
Lisa Lorentzen Convergence of Continued Fractions
Jeremy Lovejoy Extension of Ramanujan's Congruences for the Partition Function Modulo Powers of 5
Lutz G. Lucht Reducible functions, asymptotic mean behaviour, and polylogarithms
Greg Martin Biases in the Shanks-Rényi Prime Number Race
Kohji Matsumoto Asymptotic expansions of multiple zeta-functions and Eisenstein series
Marcin Mazur Finite group schemes and a conjecture of Kitaoka
Jeffrey L. Meyer On Pommersheim's n-term relation for the Dedekind sum
Hugh Montgomery Smooth Beurling integers from irregular Beurling primes
C. J. Mozzochi On the distribution of the eigenvalues of the hyperbolic Laplacian for PSL(2, Z)
Siguna Mueller Some Remarks on Primality Testing Based on Lucas Sequences
Kumar Murty Frobenius Distributions and Galois Representations
Ram Murty ABC and Prime Divisors of Lucas Sequences
Mohan Nair On a result of Bateman and Chowla
Masumi Nakajima A New Expression for the Product of the Two Dirichlet Series
Melvyn B. Nathanson A survey of additive number theory
Jean-Louis Nicolas On the parity of generalized partition functions
Kevin O'Bryant A Generating Function Technique for \lfloorn\alpha\rfloor and Related Sequences
Cormac O'Sullivan Identities from the holomorphic projection of non holomorphic modular forms
Ryotaro Okazaki On a gap principle for a simultaneous Pell equation
Sami Omar Small zeros of the Dedekind zeta function
Ken Ono Ranks and Tate-Shafarevich groups of elliptic curves
Robert Osburn Densities of 4-ranks of K_2 of rings of integers
Yi Ouyang Group cohomology of universal ordinary distribution
Matt Papanikolas Periods of Drinfeld Modules and Algebraic Independence
Scott Parsell Pairs of Additive Equations
Temenoujka P. Peneva On the exceptional set for Goldbach's problem in short intervals
David Penniston Zeta functions of a family of K3 surfaces
Bernadette Perrin-Riou Iwasawa theory of semi-stable p-adic representations
Carl Pomerance Carmichael's lambda function
Bjorn Poonen Computing rational points on curves
Alfred J (Alf) van der Poorten Binary quadratic forms and the eta function
Igor Pritsker An inequality for the norm of a polynomial factor
Andrei M. Raigorodskii Systems of common representatives: applications to the geometry of numbers and to Borsuk's partition problem
Bruce Reznick An interesting, recursively defined, family of sets of integers.
David P. Roberts Discriminants of some special polynomials
Michael Rosen Formal Drinfeld Modules
A. Sárközy On Multiplicative Hybrid Problems
Andrzej Schinzel The greatest common divisor of two univariate polynomials
Wolfgang M. Schmidt Diophantine Approximation in Fields of Laurent Series
Travis Sherman Summation of Glaisher- and Apéry-like series
Chris Skinner Automorphic forms and Galois representations
Chris Smyth Zero mean cosine polynomials and Dirichlet's theorem
Jaebum Sohn An asymptotic formula for a q-continued fraction of Ramanujan involving the Riemann zeta function and Dirichlet L-functions found in Ramanujan's lost notebook
Vera T. Sos Good approximation and characterization of subgroups of R/Z
K. Soundararajan Real zeros of L-functions
Anupam Srivastav Normal integral basis, Swan modules and p-adic L-functions.
H.M. Stark Class-Numbers and Siegel Zeros
Andreas Stein Computational aspects of hyperelliptic function fields and cryptographic applications
Cameron L. Stewart On prime factors of integers of the form ab+1
Ken Stolarsky Zeros of sums of polynomials with emphasis on Chebyshev polynomials
Ramin Takloo-Bighash Local L-factors for spin L-functions of GSp(4)
Gerald Tenenbaum On some Fourier type expansions involving arithmetic functions
Jeffrey Thunder Norm form inequalities
Joerg M. Thuswaldner Geometric properties of canonical number systems
Robert F. Tichy Polynomial diophantine equations
Robert Tijdeman Some applications of Diophantine approximation bounds
Alain Togbe On the solutions of a family of sextic Thue equations
Kai-Man Tsang Large Values of Error Terms of a Class of Arithmetical Functions
Douglas Ulmer Constructing points on elliptic curves over function fields
Jeffrey D. Vaaler Estimates for the Number of Polynomials with bounded Degree and bounded Mahler Measure
V. Vatsal Elliptic curves over anticyclotomic fields
R. C. Vaughan Waring's Problem: The Past, the Present and, maybe, the Future
Fernando Rodriguez Villegas Curves with many rational points
Ulrike Vorhauer On the Selberg Class: Sarnak's Rigidity Conjecture
Van H. Vu On the thin Waring's basis
Samuel S. Wagstaff, Jr. On the prime divisors of the Bernoulli and Euler numbers
Gary Walsh A theorem about Lehmer sequences with Diophantine applications
Toshihiro Watanabe An arithmetic for Jacobi symbols of quadratic residues
Mark Watkins Class Numbers of Imaginary Quadratic Fields
Annegret Weng A method of constructing hyperelliptic curves suitable for cryptography
Herbert Wilf Knockout tournaments
Hugh C. Williams Solving the Pell Equation
Kenneth S. Williams Elementary Evaluation of Certain Convolution Sums Involving Divisor Functions
Siman Wong Power residues on Abelian varieties
Trevor D. Wooley Some higher moments in the life of Waring's problem, and simultaneous additive equations
Jinhee Yi Two parametrizations for eta-functions and their applications
Alessandro Zaccagnini Conditional density theorems for the zeros of the Riemann zeta-function
Alexandru Zaharescu Some remarks on the Landau-Siegel zeros
Wen-Bin Zhang Quantitative Mean-value Theorems of Completely Multiplicative Functions on Additive Arithmetic Semigroups
Chunlai Zhao A criterion for elliptic curves with second lowest 2-power in L(1)

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