کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
975353 | 933028 | 2007 | 6 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Peaks and gaps: Spectral analysis of the intervals between prime numbers
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
فیزیک ریاضی
پیش نمایش صفحه اول مقاله
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چکیده انگلیسی
Prime numbers seem to be distributed somewhat randomly throughout the sequence of natural numbers. It is known, however, that gaps between consecutive primes exhibit a preponderance towards 6 and its multiples, and recently it was shown that the gaps between the gaps also exhibit a peculiar pattern. In this paper higher-order gaps are analyzed using Fourier decomposition. The resulting power spectra reveal additional patterns in the prime number sequence.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Physica A: Statistical Mechanics and its Applications - Volume 384, Issue 2, 15 October 2007, Pages 291–296
Journal: Physica A: Statistical Mechanics and its Applications - Volume 384, Issue 2, 15 October 2007, Pages 291–296
نویسندگان
George G. Szpiro,