P. Elliott

发表

Probabilistic number theory

P. Elliott, 1979 .

Arithmetic Functions and Integer Products

P. Elliott, 1984 .

On the correlation of multiplicative and the sum of additive arithmetic functions

P. D. T. A. Elliott, P. Elliott, 1994 .

The distribution of the number of prime divisors of sums a + b

A. Sárközy, P. Elliott, 1988 .

On the distribution of the values of quadraticL-series in the half-plane σ>1/2

P. Elliott, 1973 .

On the distribution of argL(s,χ) in the half-plane σ > ½

P. Elliott, 1972 .

Some applications of Bombieri's theorem

H. Halberstam, P. Elliott, 1966 .

Least zero of a cubic form

P. Elliott, T. Browning, R. Dietmann, 2009, Mathematische Annalen.

A problem of Erdös concerning power residue sums.

P. Elliott, 1967 .

On Primes and Powers of a Fixed Integer

P. Elliott, 2003 .

The concentration function of additive functions on shifted primes

P. Elliott, 1994 .

The Riemann Zeta function and coin tossing.

P. Elliott, 1972 .

Some applications of a theorem of raikov to number theory

P. Elliott, 1970 .

The Distribution of the Quadratic Class Number

P. Elliott, 1980 .

Jonas Kubilius and Probabilistic Number Theory Some Personal Reflections

P. Elliott, 2015, Lithuanian Mathematical Journal.

A central limit theorem for Ramanujan’s tau function

P. Elliott, 2012, The Ramanujan Journal.

General asymptotic distributions for additive arithmetic functions

P. Elliott, 1976, Mathematical Proceedings of the Cambridge Philosophical Society.

Harmonic Analysis on the Positive Rationals. Determination of the Group Generated by the Ratios $(an+b)/(An+B)$

P. Elliott, Jonathan Kish, 2016, 1602.03263.

A Mean‐Value Theorem for Multiplicative Functions

P. Elliott, 1975 .

Some highlights from the history of probabilistic number theory

A. Rényi, J. Littlewood, A. Kolmogorov, 2007 .

Jonas Kubilius and Probabilistic Number Theory Some Personal Reflections

P. Elliott, 2015 .

On the differences of additive arithmetic functions

P. Elliott, 1977 .

From Ramanujan to Groups of Rationals: A Personal History of Abstract Multiplicative Functions

P. Elliott, 2016 .

A central limit theorem for Ramanujan’s tau function

P. Elliott, 2012 .

The law of large numbers for additive arithmetic functions

P. Elliott, 1975, Mathematical Proceedings of the Cambridge Philosophical Society.

The value distribution of additive arithmetic functions on a line

P. Elliott, 2010 .

Sums and differences of additive arithmetic functions in mean square.

P. Elliott, 1979 .

A Large Sieve Inequality for Euler Products

P. Elliott, Jonathan Kish, 2012, 1203.0804.

On the size of L(1,).

P. D. T. A. Elliott, P. Elliott, 1969 .

An arithmetic operator and the functions on which it is part-bounded

P. Elliott, 1985 .

Cauchy's functional equation in the mean

P. Elliott, P.D.T.A Elliott, 1984 .

Duality in Analytic Number Theory

P. Elliott, 1997 .

Additive Arithmetic Functions on Arithmetic Progressions

P. Elliott, 1987 .

Least zero of a cubic form

P. Elliott, T. Browning, R. Dietmann, 2011, Mathematische Annalen.

Primes in progressions to moduli with a large power factor

P. Elliott, 2007 .

More Primes and Polynomials

P. Elliott, 2003 .

Primes in short arithmetic progressions with rapidly increasing differences

P. Elliott, 2001 .

The multiplicative group of rationals generated by the shifted primes, II

P. Elliott, 2000 .

Products of Shifted Primes. Multiplicative Analogues of Goldbach's Problems, II

P. Elliott, 1998 .

Functional analysis and additive arithmetic functions

P. Elliott, 1987 .

On representing integers as products of thep + 1

P. Elliott, 1984 .

Products of Shifted Primes. Multiplicative Analogues of Goldbach’s Problems, II

P. Elliott, 1999 .

On the distribution of the values of Dirichlet L-series in the half-plane σ>½

P. Elliott, 1971 .

Mappings of finite sets

P. Elliott, 1966 .

The Distribution of Primitive Roots

P. Elliott, 1969, Canadian Journal of Mathematics.

On additive functions whose limiting distributions possess a finite mean and variance

P. Elliott, 1973 .

Some Remarks about Multiplicative Functions of Modulus < 1

P. Elliott, 1990 .

The tails of infinitely divisible laws and a problem in number theory

P. Erdös, P. Elliott, 1979 .

On the number of circles determined byn points

P. D. T. A. Elliott, P. Elliott, 1967 .