We construct a 2-dimensional complex manifold$X$which is the increasing union of proper subdomains that are biholomorphic to ℂ^{2}, but$X$is not Stein.
Miller S J, Takloobighash R. An Invitation to Modern Number Theory[C]., 2006.
2
Rudnick Z, Sarnak P, Zaharescu A, et al. The distribution of spacings between the fractional parts of $n^2 \\alpha$[J]. Inventiones Mathematicae, 2000, 145(1): 37-57.
3
Carlitz L. PAIRS OF QUADRATIC EQUATIONS IN A FINITE FIELD.[J]. American Journal of Mathematics, 2016, 76(1).
4
Halasz G, Turan P. On the distribution of roots of Riemann zeta and allied functions, I[J]. Journal of Number Theory, 1969, 1(1): 121-137.
5
Vegh E. A note on the distribution of the primitive roots of a prime[J]. Journal of Number Theory, 1971, 3(1): 13-18.
6
Wright S. Quadratic Residues and Non-residues in Arithmetic Progression[J]. Journal of Number Theory, 2011, 133(7): 2398-2430.
7
Mordell L J. On a cubic congruence in three variables. II[J]. Proceedings of the American Mathematical Society, 1963, 14(4): 609-614.
8
Miller S J, Takloobighash R. The Philosophy of Square Root Cancellation (From An Invitation to Modern Number Theory)[C]., 2005.
9
G S Choi · Alexandru Zaharescu. Additive patterns in a multiplicative group in a finite field. 2003.
10
Steven J Miller · Ramin Takloobighash. The Circle Method. 2004.
Dmitri B. BeliaevDepartment of Mathematics, Royal Institute of TechnologyVictor P. HavinDepartment of Mathematics and Mechanics, St. Petersburg State University