Research Article
A Numerical Investigation on the Structure of the Zeros of Euler Polynomials
Table 1
Numbers of real and complex zeros of
.
| | Degree | Real zeros | Complex zeros |
| | 41 | 13 | 28 | | 42 | 10 | 32 | | 43 | 11 | 32 | | 44 | 12 | 32 | | 45 | 13 | 32 | | 46 | 14 | 32 | | 47 | 15 | 32 | | 48 | 12 | 36 | | 49 | 13 | 36 | | 50 | 14 | 36 | | 51 | 15 | 36 | | 52 | 16 | 36 | | 53 | 13 | 40 | | 54 | 14 | 40 | | 55 | 15 | 40 | | 56 | 16 | 40 | | 57 | 17 | 40 | | 58 | 14 | 44 | | 59 | 15 | 44 | | 60 | 16 | 44 | | 61 | 17 | 44 | | 62 | 18 | 44 | | 63 | 15 | 48 | | 64 | 16 | 48 | | 65 | 17 | 48 | | 66 | 18 | 48 | | 67 | 19 | 48 | | 68 | 20 | 48 | | 69 | 17 | 52 | | 70 | 18 | 52 | | 71 | 19 | 52 | | 72 | 20 | 52 |
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