Daniel Goldston
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American mathematician
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Daniel Goldstonmathematics Degrees
Mathematics
#743
World Rank
#1348
Historical Rank
#324
USA Rank
Number Theory
#20
World Rank
#37
Historical Rank
#8
USA Rank
Measure Theory
#4628
World Rank
#5418
Historical Rank
#1284
USA Rank
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Mathematics
Why Is Daniel Goldston Influential?
(Suggest an Edit or Addition)According to Wikipedia, Daniel Alan Goldston is an American mathematician who specializes in number theory. He is currently a professor of mathematics at San Jose State University. Early life and education Daniel Alan Goldston was born on January 4, 1954, in Oakland, California. In 1972, he matriculated to the University of California, Berkeley, where he earned his bachelor's degree and, in 1981, a Ph.D. in mathematics. His doctoral advisor at Berkeley was Russell Sherman Lehman; his dissertation was entitled "Large Differences between Consecutive Prime Numbers".
Daniel Goldston's Published Works
Published Works
- Primes in tuples I (2005) (241)
- Pair Correlation of Zeros and Primes in Short Intervals (1987) (124)
- Simple zeros of the Riemann zeta-function (1993) (92)
- A note on S(t) and the zeros of the Riemann zeta‐function (2005) (75)
- Small gaps between products of two primes (2006) (69)
- Primes in tuples II (2007) (68)
- Higher correlations of divisor sums related to primes I: triple correlations (2001) (63)
- Small gaps between primes exist (2005) (52)
- SMALL GAPS BETWEEN PRIMES OR ALMOST PRIMES (2005) (51)
- ON THE DISTRIBUTION OF GAPS BETWEEN ZEROS OF THE ZETA-FUNCTION (1985) (49)
- On the Pair Correlation of Zeros of the Riemann Zeta‐Function (2000) (42)
- VARIANCE OF DISTRIBUTION OF PRIMES IN RESIDUE CLASSES (1996) (40)
- Mean values of the logarithmic derivative of the Riemann zeta-function with applications to primes in short intervals (2001) (38)
- On the function S(T) in the theory of the Riemann zeta-function (1987) (37)
- Higher correlations of divisor sums related to primes II: variations of the error term in the prime number theorem (2004) (36)
- Mean value theorems for long Dirichlet polynomials and tails of Dirichlet series (1998) (36)
- Higher correlations of divisor sums related to primes III: small gaps between primes (2007) (35)
- Sieve Methods, Exponential Sums, and their Applications in Number Theory: On the Montgomery-Hooley Asymptotic Formula (1997) (34)
- SOME SINGULAR SERIES AVERAGES AND THE DISTRIBUTION OF GOLDBACH NUMBERS IN SHORT INTERVALS (1995) (30)
- A note on the differences between consecutive primes (1984) (29)
- Linnik's theorem on Goldbach numbers in short intervals (1990) (29)
- On the pair correlation conjecture for zeros of the Riemann zeta-function. (1988) (24)
- On a result of Littlewood concerning prime numbers (1982) (22)
- A differential delay equation arising from the sieve of Eratosthenes (1990) (21)
- On Bombieri and Davenport's theorem concerning small gaps between primes (1992) (20)
- Notes on Pair Correlation of Zeros and Prime Numbers (2004) (19)
- Higher correlations of divisor sums related to primes III: k-correlations (2002) (19)
- Small Gaps Between Primes I (2005) (19)
- PRIMES IN TUPLES III: On the difference pn+ν − pn (17)
- Primes in tuples IV: Density of small gaps between consecutive primes (2011) (17)
- Small gaps between almost primes, the parity problem, and some conjectures of Erdős on consecutive integers II (2008) (17)
- Sieving the positive integers by large primes (1988) (15)
- A note on the number of primes in short intervals (1990) (14)
- The path to recent progress on small gaps between primes (2005) (13)
- The Average Number of Goldbach Representations (2016) (12)
- Jumping champions and gaps between consecutive primes (2009) (12)
- On the second moment for primes in an arithmetic progression (2000) (11)
- Positive Proportion of Small Gaps Between Consecutive Primes (2011) (11)
- THE JUMPING CHAMPION CONJECTURE (2011) (10)
- Primes in tuples III: On the difference {$p_{n + \nu}- p_n$} (2006) (10)
- Note on a variance in the distribution of primes (1999) (9)
- Sums of Three or More Primes (1997) (8)
- THE SECOND MOMENT FOR PRIME NUMBERS (1984) (8)
- Primes in Short Segments of Arithmetic Progressions (1998) (7)
- The major arcs approximation of an exponential sum over primes (2000) (6)
- Turán's pure power sum problem (1996) (6)
- Longer than average intervals containing no primes (1987) (4)
- A note on small gaps between zeros of the Riemann zeta-function (2019) (4)
- Are There Infinitely Many Primes (2007) (4)
- Distribution of Large Gaps Between Primes (2018) (4)
- Sieving the positive integers by small primes (1988) (4)
- ON AN AVERAGE GOLDBACH REPRESENTATION FORMULA OF FUJII (2021) (3)
- On the $$L^1$$L1 norm of an exponential sum involving the divisor function (2017) (3)
- The Tail of the Singular Series for the Prime Pair and Goldbach Problems (2014) (3)
- Limit Points of the Sequence of Normalized Differences Between Consecutive Prime Numbers (2015) (3)
- The prime number theorem and pair correlation of zeros of the Riemann zeta-function (2022) (3)
- On the Differences Between Consecutive Prime Numbers, I (2011) (3)
- SMALL GAPS BETWEEN PRIMES II ( PRELIMINARY ) (2005) (3)
- Exceptional zeros and the Goldbach problem (2021) (2)
- Note on the Goldbach Conjecture and Landau-Siegel Zeros (2021) (2)
- The error term in the Ces\`{a}ro mean of the prime pair singular series (2020) (1)
- Prime Difference Champions (2016) (1)
- Small gaps between three almost primes and almost prime powers (2021) (1)
- On the Montgomery-Odlyzko method regarding gaps between zeros of the zeta-function (2022) (1)
- Small gaps and small spacings between zeta zeros (2022) (1)
- Corrigendum: Small gaps between products of two primes (2013) (1)
- A LIMITATION ON PROVING THE EXISTENCE OF SMALL GAPS BETWEEN ZETA-ZEROS (2022) (0)
- Federal Science Policy in Practice: A Perspective from the House Science Committee (2006) (0)
- Explaining the decimal expansion of 1/81 using calculus (1991) (0)
- Small gaps between primes 1 2 (2014) (0)
- A singular series average and the zeros of the Riemann zeta-function (2020) (0)
- PRIMES IN TUPLES I 1 Primes in Tuples I (0)
- A pr 2 00 5 SMALL GAPS BETWEEN PRIMES (2008) (0)
- Gaps between primes (2019) (0)
- An Exponential Sum Over Primes (2017) (0)
- Erd{̋o}s 100 Plus (2021) (0)
- PRIMES IN TUPLES III: On the difference p n + ν p (2008) (0)
- Explicit Calculations for Sono's Multidimensional Sieve of $E_2$-Numbers (2022) (0)
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