Some Classes of series involving the Riemann zeta function, Fibonacci numbers and the Lucas numbers

التفاصيل البيبلوغرافية
العنوان: Some Classes of series involving the Riemann zeta function, Fibonacci numbers and the Lucas numbers
المؤلفون: Segun, Akerele Olofin
سنة النشر: 2024
المجموعة: Mathematics
مصطلحات موضوعية: Mathematics - General Mathematics, 11B39, 11M06, 11M35, 33B15, 40A05
الوصف: The objective of this manuscript is to offer explicit expressions for diverse categories of infinite series incorporating the Fibonacci (Lucas) sequence and the Riemann zeta function. In demonstrating our findings, we will utilize conventional methodologies and integrate the Binet formulas pertinent to these sequences with generating functions that encompass the Riemann zeta function alongside established evaluations of certain series.
Comment: 11 pages
نوع الوثيقة: Working Paper
URL الوصول: http://arxiv.org/abs/2406.16922
رقم الأكسشن: edsarx.2406.16922
قاعدة البيانات: arXiv