Pratham Prasad's Approach to evaluate a binoharmonic series of weight 5

  • Unique Paper ID: 179458
  • Volume: 11
  • Issue: 12
  • PageNo: 7449-7461
  • Abstract:
  • This research explores a remarkable infinite series identity involving harmonic numbers, binomial coefficients, Riemann zeta functions, polylogarithmic functions, and logarithmic powers. The convergence and structure of such expressions reveal deep connections between discrete summation, analytic continuations, and special functions. Through rigorous derivation, transformation techniques, and analytic evaluation, the paper uncovers closed-form representations of complex series that traditionally resist simplification. The resulting identity not only enriches the theoretical understanding of nested series but also provides elegant pathways for future exploration in transcendental number theory, multiple zeta values (MZVs), and mathematical constants. Such results are instrumental in deepening the mathematical framework behind quantum field theory, computational number theory, and symbolic algebra systems.

Cite This Article

  • ISSN: 2349-6002
  • Volume: 11
  • Issue: 12
  • PageNo: 7449-7461

Pratham Prasad's Approach to evaluate a binoharmonic series of weight 5

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