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JOURNALS
// Zapiski Nauchnykh Seminarov POMI
// Archive
2010, Volume 377
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General information
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Contents
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Studies in number theory. Part 10
Preface
D. R. Heath-Brown, A. MacIntyre, Yu. I. Manin, Yu. V. Matiyasevich, B. Z. Moroz
5
Participants
6
Seminars
7
Photo of participants of workshop “New methods in Hilbert's tenth problem”
Program of Workshop “New methods in Hilbert's tenth problem”
16
Research Workshop
21
Photo of participants of research workshop
Singular del Pezzo surfaces that are equivariant compactifications
U. Derenthal, D. Loughran
26
On the modularity of rigid Calabi–Yau threefolds: epilogue
Luis Dieulefait
44
Representation theorems for r.e. sets and a conjecture related to Poonen's larges subring of
$\mathbb Q$
M. Davis
50
Non-singular points on hypersurfaces over
$\mathbb F_q$
J. Zahid
55
A generalization of the Bombieri–Pila determinant method
O. Marmon
63
Towards finite-fold Diophantine representations
Yu. Matiyasevich
78
The circle method with weights for the representation of integers by quadratic forms
N. Niedermowwe
91
A survey on Büchi's problem: new presentations and open problems
H. Pasten, T. Pheidas, X. Vidaux
111
Curves over every global field violating the local-global principle
B. Poonen
141
Base change for Hilbert eigenvarieties of unitary groups
Yu. Z. Flicker
148
Bounds for the cubic Weyl sum
D. R. Heath-Brown
199
On the quantitative subspace theorem
J.-H. Evertse
217
©
Steklov Math. Inst. of RAS
, 2024
