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The e-book presents a self-contained advent to classical Number concept. all of the proofs of the person theorems and the options of the workouts are being offered step-by-step. a few ancient feedback also are awarded. The ebook may be directed to complex undergraduate, starting graduate scholars in addition to to scholars who arrange for mathematical competitions (ex.
A publication on any mathematical topic past the textbook point is of little worth until it includes new principles and new views. It is helping to incorporate new effects, only if they provide the reader new insights and are provided in addition to identified outdated leads to a transparent exposition. it's with this philosophy that the writer writes this quantity.
Euler-Riemann’s zeta and Dirichlet’s eta capabilities are outlined for genuine damaging numbers as analytic continuation. within the current ebook the writer defines new sequence for zeta and eta capabilities, for genuine adverse and imaginary numbers with no analytic continuation. the hot zeta and eta capabilities preserve the nature of harmonic sequence and alternating harmonic sequence respectively for actual unfavourable numbers, as for actual optimistic numbers.
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