Egyptian Fractions Revisited

. N T ] 8 A pr 1 99 8 DENSE EGYPTIAN FRACTIONS

Every positive rational number has representations as Egyptian fractions (sums of reciprocals of distinct positive integers) with arbitrarily many terms and with arbitrarily large denominators. However, such representations normally use a very sparse subset of the positive integers up to the largest denominator. We show that for every positive rational there exist representations as Egyptian fr...

Egyptian Fractions with Each Denominator Having Three Distinct Prime Divisors

Any natural number can be expressed as an Egyptian fraction, i.e., P 1/ai with a1 < a2 < · · · < a`, where each denominator is the product of three distinct primes.

p-Adic Egyptian Fractions

Denominators of Egyptian Fractions

Systemic management of bladder cancer in Egypt: revisited.

Bladder cancer is still the most frequent malignant tumor among Egyptian males. It has a peculiar biologic, clinico-pathologic features and responsiveness to chemotherapy profile than that observed in Western countries. The current review aims to demonstrate the present state-of- art in using systemic therapy as part of the management options available to treat such patients at different stages...