(1)A SHORT NOTE ON THE FEICHTINGER CONJECTURE I

The starting point of the proof of Lehmer’s Conjecture is the investigation of the zeroes of the Parry Upper functions f β (z) in the annular region {β −1 < |z| < 1} ∪ {β

On the other hand, it is well-known that B(X) is weakly compact iff B(X ∗ ) is; this is due to Grothendieck’s classical double limit criterion which displays a kind of symmetry

To conclude, the additional TWRF triggered by the shift of food consumption patterns and population growth will impose high pressure on China’s finite water resources.. Amongst

A consequence of his work is that, for example, for any real quadratic field K if the generalized abc-conjecture holds in K, then the set of primes p for which K is p-rational,

It is an open question whether proper holomorphic embeddings of the complex plane C or of the unit disk hH C in C 2 can be topologically knotted (see Problem 1.102 (A/B) of Kirby’s

In the present paper, we shall discuss variants of another conjecture, very similar to Schanuel’s conjecture in aspect, but in the framework of function fields of

It is based on the recent work of Robert and Tenenbaum [13] on the function N(x, y) which counts the number of positive integers n up to x whose greatest squarefree divisor is at

In this note, we improve earlier results towards the Bruinier-Kohnen sign equidistribution conjecture for half-integral weight modular eigenforms in terms of natural density by using