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Finnish-Swedish Number Theory Conference

26-28 May, 2010

Program

**Unfortunaly, due to time constraints we cannot accept more talks.**

Wednesday, May 26

09:00-09:30 coffee and registration

09:30-09:40 opening

09:40-10:30 **Matti Jutila:** *Hardy's function: old and new*

10:40-11:10 **Davide Schipani:** *Some new criteria for the Riemann Hypothesis*

11:20-11:50 **Kaisa Matomäki:** *A generalised rearrangement inequality with applications*

11:50-13:20 lunch

**Tauno Metsänkylä :** *Classical p-adic L-functions – past and present*

**Tapani Matala-aho:** *Arithmetic and Hypergeometric series*

**Stefan Lemurell:** *Computing L-functions*

**Liangyi Zhao:** *On the Low-lying Zeros of Families of L-functions*

**Oscar Marmon:** *Sums and differences of four k-th powers*

**Rikard Olofsson:** *Newforms of quantized cat maps*

18:00 **buffet in the lunch room (fourth floor of the math department - remember that the talks in the morning were on the seventh floor)**

Thursday, May 27

09:00-09:30 **Keijo Väänänen :** *Arithmetical results on solutions of certain functional equations*

09:40-10:10 **Alexander Stolin :** *Fine structure of the
Tate module of rational numbers T_p (Q)*

10:10-10:40 coffee

10:40-11:30 **Carel Faber:** *On Siegel modular forms of low genus*

11:40-12:10 **Juliusz Brzezinski :** *On n-Squares Conjecture*

12:10-13:40 lunch

13:40-14:10 **Eeva Suvitie :** *Short Spectral Sums Involving Cusp Forms*

14:20-14:50 **Fredrik Strömberg:** *Newforms and multiplicities on Gamma_0(9)*

14:50-15:20 coffee

15:20-15:50 **Anders Södergren :** *Lattice statistics and the value distribution of the Epstein zeta function*

16:00-16:50 **Andreas Strömbergsson :** *Some results in 'random' geometry of numbers*

16:00-16:30 **Johan Andersson:** On a problem of Ramachandra and zeta(s) at $Re s=1$.

19:00 **conference dinner**

Friday, May 28

09:00-09:30 **Anne-Maria Ernvall-Hytönen:** *On the mean square of short exponential sums of Fourier coefficients of cusp forms*

09:40-10:10 **Igor Wigman :** *The distribution of nodal lines of random eigenfunctions of the Laplacian on the arithmetic torus.*

10:10-10:40 coffee

10:40-11:30 **Torsten Ekedahl :** *On the density of polynomials with simple ramification*

11:40-12:10 **Dennis Eriksson :** *Discriminants in number theory and algebraic geometry*

12:10-13:40 lunch

13:40-14:10 **Camilla Hollanti :** *Conditional non-vanishing determinants from central simple algebras*

14:20-14:50 **Håkan Granath :** *Orthogonal systems of modular forms and supersingular polynomials*

14:50-15:20 coffee

15:20-15:50 **Laszlo Toth :** *Arithmetical functions involving exponential divisors*

16:00-16:50 **Dennis Hejhal :** *On zeros, gaussians, positive proportion, and linear combinations*