Mean square value of exponential sums related to the representation of integers as sums of squares
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Minimal -universality criteria may vary in size
Noam D. Elkies, Daniel M. Kane, Scott Duke Kominers (2013)
Journal de Théorie des Nombres de Bordeaux
In this note, we give simple examples of sets of quadratic forms that have minimal -universality criteria of multiple cardinalities. This answers a question of Kim, Kim, and Oh [KKO05] in the negative.
Mixed sums of squares and triangular numbers
Zhi-Wei Sun (2007)
Acta Arithmetica
Mixed sums of squares and triangular numbers. II.
Suo, Song, Pan, Hao, Sun, Zhi-Wei (2007)
Integers
Modular properties of theta-functions and representation of numbers by positive quadratic forms.
Vepkhvadze, T. (1997)
Georgian Mathematical Journal
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