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It is well known that getting the estimate of integral points in right-angled simplices is equivalent to getting the estimate of Dickman-De Bruijn function $ψ (x, y)$ which is the number of positive integers $\leq x$ and free of prime factors $> y$ . Motivating from the Yau Geometry Conjecture, the third author formulated the Number Theoretic Conjecture which gives a sharp polynomial upper estimate that counts the number of positive integral points in n-dimensional ( $n \geq 3$ ) real right-angled simplices. In this paper, we...

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O osmém Hilbertově problému

O sedmnáctém Hilbertově problému

Obere Abschätzung für die Anzahl der B-Zwillinge auf kurzen Intervallen.

Observations on the parity of the total number of parts in odd--part partitions.

On a certain sum in number theory. III.

On a conjecture of Andrews.

On a conjecture of Lemke and Kleitman

On a conjecture of Yiming Long

On a constant of Turán and Erdös

On a diophantine inequality involving prime numbers

On a diophantine problem with one prime, two squares of primes and s powers of two

On a Diophantine problem with two primes and s powers of two

On a generalization of a theorem by Vosper.

On a multiplicative partition function.

On a number theoretic conjecture on positive integral points in a 5-dimensional tetrahedron and a sharp estimate of the Dickman–De Bruijn function

On a partition function of Richard Stanly.

On a partition theorem of Göllnitz.

On a Problem Connected with a Theorem of Jarnik.

On a problem of Hardy and Littlewood

On a problem of sums of mixed powers

Currently displaying 1 – 20 of 219