From Riemann Hypothesis to Big Bang Model
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Identified as one of the 7 Millennium Problems, the Riemann zeta hypothesis has successfully evaded mathematicians for over 100 years. Simply stated, Riemann conjectured that all of the nontrivial zeroes of the zeta function have real part equal to . The book represents the Author's journey for understanding the mystery of Riemann Hypothesis. Firstly, by discussing an elementary problem that is equivalent to Riemann Hypothesis (Robin Inequality) and providing some partial results. Then connecting the hypothesis to the theory of univalent functions and proving new equivalent statements. Later o...
Identified as one of the 7 Millennium Problems, the Riemann zeta hypothesis has successfully evaded mathematicians for over 100 years. Simply stated, Riemann conjectured that all of the nontrivial zeroes of the zeta function have real part equal to . The book represents the Author's journey for understanding the mystery of Riemann Hypothesis. Firstly, by discussing an elementary problem that is equivalent to Riemann Hypothesis (Robin Inequality) and providing some partial results. Then connecting the hypothesis to the theory of univalent functions and proving new equivalent statements. Later on, a graphical approach shows that Riemann Hypothesis is most probably true. Howe ever; by digging deeper to the statements, we figure out the gap that imposes re addressing Riemann hypothesis and proving it conditionally. Finally, a proposed Bing bang model by assuming that two fireballs contributed to the initial stage of the Universe are discussed in this book.
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