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Let [Formula: see text] denote the number of representations of an even integer [Formula: see text], [Formula: see text] as the sum of two squares, one cube and three fourth… Click to show full abstract
Let [Formula: see text] denote the number of representations of an even integer [Formula: see text], [Formula: see text] as the sum of two squares, one cube and three fourth powers of primes, and by [Formula: see text] we denote the number of even integers [Formula: see text], [Formula: see text] such that the expected asymptotic formula for [Formula: see text] fails to hold. In this paper, it is proved that [Formula: see text] for any [Formula: see text].
Keywords:
powers primes;
exceptional set;
formula see;
see text;
text formula
Journal Title: International Journal of Number Theory
Year Published: 2019
Link to full text (if available)
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Journal Title: International Journal of Number Theory
Year Published: 2019
Link to full text (if available)
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recommendations!