imply that the prime number theorem holds in $[x - y,x],\ y=x^\theta $ , if $1-1/b < \theta < 1$ . In Chapter 3, we introduce the weighted zero-density approach due to Heath-Brown and Iwaniec ...

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With it, one can, in principle, determine the distribution of prime numbers along the number line. Because understanding prime numbers is essential not only to number theory but also has ...

The work not only broke the previous record, which had stood for 80 years, but led to new results about the distribution of prime numbers. Similarly, three graduate students proved a better estimate ...

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The Assam government is mulling to provide pulses and sugar through ration cards to help stabilise the prices of these items whenever there is a spike, Chief Minister Himanta Biswa Sarma said on ...

and to understand why it points to as yet undiscovered regularities in the distribution of prime numbers.' Donal O’Shea Source: The Herald Tribune 'The book under review succeeds handsomely in making ...

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