On the Difference Between Consecutive Primes.
On the Difference between Consecutive Primes.
On the difference between consecutive squarefree integers
On the difference between perfect powers
On the difference of consecutive terms of sequences defined by divisibility properties, II
On the difference of consecutive terms of sequences defined by divisibility properties
On the difference of cubes (mod p)
On the difference of the consecutive primitive roots
On the difference of values of the kernel function at consecutive integers.
On the differences of additive functions, II
On the differences of the partition function
On the differential of applications defined on moduli spaces of p.p.a.v. with level theata structure.
On the dimension of additive sets
We study the relations between several notions of dimension for an additive set, some of which are well-known and some of which are more recent, appearing for instance in work of Schoen and Shkredov. We obtain bounds for the ratios between these dimensions by improving an inequality of Lev and Yuster, and we show that these bounds are asymptotically sharp, using in particular the existence of large dissociated subsets of {0,1}ⁿ ⊂ ℤⁿ.
On the dimension of some spaces of generalized ternary theta-series.
On the Dimensions of Spaces of Siegel Modular Forms of Weight One.
On the Diophantine equation 1 + x + y = z, with xyz = 2r3s7t.
On the Diophantine equation
Let be an odd prime. By using the elementary methods we prove that: (1) if , the Diophantine equation has no positive integer solution except when or is of the form , where is an odd positive integer. (2) if , , then the Diophantine equation has no positive integer solution.
On the diophantine equation 27 y2 + 4 x3 = D.
On the diophantine equation 27y2 + 4x3 = M.
On the Diophantine Equation 2x3 + 1 = py2.