Abstract
Two new results on the nonexistence of generalized bent functions are presented by using properties of the decomposition law of primes in cyclotomic fields and properties of solutions of some Diophantine equations, and examples satisfying our results are given.
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Supported by National Natural Science Foundation of China (Grant Nos. 10771100, 10971250)
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Liu, F.M., Yue, Q. The relationship between the nonexistence of generalized bent functions and diophantine equations. Acta. Math. Sin.-English Ser. 27, 1173–1186 (2011). https://doi.org/10.1007/s10114-011-8198-8
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DOI: https://doi.org/10.1007/s10114-011-8198-8