Sums of Three Squareful Numbers
نویسندگان
چکیده
We investigate the frequency of positive squareful numbers x, y, z 6 B for which x + y = z and present a conjecture concerning its asymptotic behaviour. Mathematics Subject Classification (2010). 11D45 (11P05, 14G05).
منابع مشابه
Binary quadratic forms with large discriminants and sums of two squareful numbers II
Let F = (F1, . . . , Fm) be an m-tuple of primitive positive binary quadratic forms and let UF(x) be the number of integers not exceeding x that can be represented simultaneously by all the forms Fj , j = 1, . . . ,m. Sharp upper and lower bounds for UF(x) are given, uniformly in the discriminants of the quadratic forms. As an application a problem of Erdös is considered. Let V (x) be the numbe...
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ورودعنوان ژورنال:
- Experimental Mathematics
دوره 21 شماره
صفحات -
تاریخ انتشار 2012