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Showing 2007 · math.NTShow all
3 papers · 2 filters
math.NT2007★ 1 cited
A recursion equation for prime numbers
Joseph B. Keller
It is shown that the first prime numbers determine the next one by the recursion equation $$ p_{n+1} =\lim\limits_{s\to +\infty} [\prod\limits^n_{k=1} (1-\frac{1}…
math.NT2007★ 2 cited
Extreme values of zeta and L-functions
K. Soundararajan
We introduce a "resonance" method to produce large values of and large and small central values of -functions.
math.NT2007★ 2 cited
Multiplicative functions in arithmetic progressions
Antal Balog, Andrew Granville, K. Soundararajan
We develop a theory of multiplicative functions (with values inside or on the unit circle) in arithmetic progressions analogous to the well-known theory of primes in arithmetic pro…