The Duffin–Schaeffer conjecture with extra divergence II
نویسندگان
چکیده
منابع مشابه
The Duffin-schaeffer Conjecture with Extra Divergence
Throughout this note we will use the following standard notation from elementary number theory: p denotes a prime number, μ(n) is the Möbius function, φ(n) is the Euler phi function, ω(n) denotes the number of distinct prime divisors of n, and τ(n) is the number of positive integers which divide n. Also we use λ to denote Lebesgue measure on R/Z and dimX to denote the Hausdorff dimension of a s...
متن کاملWeak Gravity Conjecture with Large Extra Dimensions
In the presence of large extra dimensions, the fundamental Planck scale can be much lower than the apparent four-dimensional Planck scale. In this setup, the weak gravity conjecture implies a much more stringent constraint on the UV cutoff for the U(1) gauge theory in four dimensions. This new energy scale may be relevant to LHC. Extra dimensions are naturally required in some fundamental theor...
متن کاملThe Extra Pharmacopœia, Vol. II
We must apologize for the regrettable delay in reviewing this very valuable little book. The Extra pharmacopoeia is too well known to need any special recommendation. This eighteenth edition fully maintains the high standard of excellence which has been set bv its predecessors, it has been brought up to date by the inclusion of references to all the, work which has been done 011 drugs since the...
متن کاملThe Divergence-free Jacobian Conjecture in Dimension Two
A special case, called the divergence-free case, of the Jacobian Conjecture in dimension two is proved. This note outlines an argument for a special case of the Jacobian conjecture in dimension two: Suppose F : C → C is a polynomial so that F (0) = 0, F ′(0) = I, det(F ′(z)) = 1, z ∈ C. (1) where I is the identity transformation on C. Write F (x, y) = ( r(x, y) + x s(x, y) + y ) , (x, y) ∈ C wh...
متن کاملClemens’s Conjecture: Part Ii
This is the part II of our series of two papers, “Clemens conjecture: part I”, “Clemens conjecture: part II”. Continuing from part I, in this paper we turn our attention to general quintic threefolds. In a universal quintic threefold X, we construct a family of quasi-regular deformations Bb such that the generic member in this family is non-deviated, but some special member is deviated. By the ...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Mathematische Zeitschrift
سال: 2012
ISSN: 0025-5874,1432-1823
DOI: 10.1007/s00209-012-1126-5