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Elliott, Peter D. T. A.

Author ID: elliott.peter-d-t-a Recent zbMATH articles by "Elliott, Peter D. T. A."
Published as: Elliott, P. D. T. A.; Elliott, Peter D. T. A.; Elliott, Peter; Elliott, P. D.; Elliott, P. D. T. A
Homepage: https://www.colorado.edu/math/peter-dta-elliott
External Links: MGP · Wikidata · GND · IdRef
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Serials

15 Acta Arithmetica
10 Mathematika
9 Journal of the London Mathematical Society. Second Series
9 Journal of Number Theory
9 The Ramanujan Journal
8 Journal für die Reine und Angewandte Mathematik
4 Proceedings of the London Mathematical Society. Third Series
4 Journal of the Australian Mathematical Society. Series A
3 Mathematical Proceedings of the Cambridge Philosophical Society
3 Acta Mathematica
3 Canadian Mathematical Bulletin
3 Mathematische Annalen
3 Pacific Journal of Mathematics
3 Grundlehren der Mathematischen Wissenschaften
2 Bulletin of the London Mathematical Society
2 Canadian Journal of Mathematics
2 Inventiones Mathematicae
2 Journal of the Faculty of Science. Section I A
2 Monatshefte für Mathematik
2 Transactions of the American Mathematical Society
2 Bulletin of the American Mathematical Society. New Series
2 Journal of Mathematical Sciences. University of Tokyo
2 Cambridge Tracts in Mathematics
2 Nederlandse Akademie van Wetenschappen. Proceedings. Series A. Indagationes Mathematicae
1 Acta Mathematica Academiae Scientiarum Hungaricae
1 Letters in Mathematical Physics
1 Lithuanian Mathematical Journal
1 Psychometrika
1 Advances in Mathematics
1 American Journal of Mathematics
1 Annales Universitatis Scientiarum Budapestinensis de Rolando Eötvös Nominatae. Sectio Mathematica
1 Colloquium Mathematicum
1 Commentarii Mathematici Universitatis Sancti Pauli
1 Functiones et Approximatio. Commentarii Mathematici
1 Illinois Journal of Mathematics
1 Indagationes Mathematicae
1 The Journal of the Indian Mathematical Society. New Series
1 Memoirs of the American Mathematical Society
1 Proceedings of the American Mathematical Society
1 The Quarterly Journal of Mathematics. Oxford Second Series
1 Notas de la Sociedad de Matemática de Chile
1 Aequationes Mathematicae
1 Litovskiĭ Matematicheskiĭ Sbornik
1 SIAM Journal on Applied Mathematics
1 RIMS Kokyuroku
1 Journal of Applied Statistics
1 International Journal of Number Theory
1 Comptes Rendus Hebdomadaires des Séances de l’Académie des Sciences, Série A
1 Publications Mathématiques d’Orsay
1 Translations of Mathematical Monographs
1 Developments in Mathematics
1 RIMS Kôkyûroku Bessatsu
1 Séminaire de Théorie des Nombres

Publications by Year

Citations contained in zbMATH Open

115 Publications have been cited 867 times in 569 Documents Cited by Year
Probabilistic number theory. I: Mean-value theorems. Zbl 0431.10029
Elliott, P. D. T. A.
150
1979
Probabilistic number theory. II: Central limit theorems. Zbl 0431.10030
Elliott, P. D. T. A.
96
1980
Introduction to analytic number theory. Transl. from the Russian by G. A. Kandall. Ed. by Ben Silver. Appendix by P. D. T. A. Elliott. Zbl 0641.10001
Postnikov, A. G.
40
1988
A conjecture in prime number theory. Zbl 0238.10030
Elliott, P. D. T. A.; Halberstam, H.
39
1970
Arithmetic functions and integer products. Zbl 0559.10032
Elliott, P. D. T. A.
32
1985
A mean-value theorem for multiplicative functions. Zbl 0319.10055
Elliott, P. D. T. A.
25
1975
On the distribution of the values of quadratic L-series in the half-plane \(\sigma > 1/2\). Zbl 0265.10022
Elliott, P. D. T. A.
23
1973
On the correlation of multiplicative and the sum of additive arithmetic functions. Zbl 0824.11056
Elliott, P. D. T. A.
19
1994
Duality in analytic number theory. Zbl 0887.11002
Elliott, P. D. T. A.
18
1997
On the distribution of \(\text{arg} L(s,\chi)\) in the halfplane \(\sigma> {1\over 2}\). Zbl 0248.10033
Elliott, P. D. T. A.
17
1972
On the correlation of multiplicative functions. Zbl 0810.11055
Elliott, P. D. T. A.
17
1992
On the distribution of the values of Dirichlet L-series in the half-plane \(\sigma > 1/2\). Zbl 0222.10041
Elliott, P. D. T. A.
16
1971
On the absolute value of Ramanujan’s \(\tau\)-function. Zbl 0513.10024
Elliott, P. D. T. A.; Moreno, C. J.; Shahidi, F.
15
1984
On the mean value of \(f(p)\). Zbl 0218.10059
Elliott, P. D. T. A.
14
1970
Network models for social influence processes. Zbl 1293.62270
Robins, Garry; Pattison, Philippa; Elliott, Peter
13
2001
On the number of circles determined by \(n\) points. Zbl 0163.14701
Elliott, P. D. T. A.
12
1967
High-power analogues of the Turan-Kubilius inequality, and an application to number theory. Zbl 0444.10051
Elliott, P. D. T. A.
12
1980
The distribution of the quadratic class number. Zbl 0213.06501
Elliott, P. D. T. A.
12
1970
Mean value theorems for multiplicative functions bounded in mean \(\alpha\)-power, \(\alpha >1\). Zbl 0426.10050
Elliott, P. D. T. A.
9
1980
Multiplicative functions on arithmetic progressions. Zbl 0637.10032
Elliott, P. D. T. A.
9
1987
Some applications of Bombieri’s theorem. Zbl 0147.02802
Elliott, P. D. T. A.; Halberstam, H.
9
1966
The least prime k-th-power residue. Zbl 0224.10049
Elliott, P. D. T. A.
9
1971
The law of large numbers for additive arithmetic functions. Zbl 0329.10043
Elliott, P. D. T. A.
9
1975
Harmonic analysis on the positive rationals. II: Multiplicative functions and Maass forms. Zbl 1414.11118
Elliott, Peter D. T. A.; Kish, Jonathan
9
2016
The Riemann zeta function and coin tossing. Zbl 0241.10025
Elliott, P. D. T. A.
8
1972
Multiplicative functions and Ramanujan’s tau-function. Zbl 0469.10024
Elliott, P. D. T. A.
7
1981
On the average of the least primitive root modulo \(p\). Zbl 0892.11031
Elliott, P. D. T. A.; Murata, Leo
7
1997
The concentration function of additive functions on shifted primes. Zbl 0824.11057
Elliott, P. D. T. A.
7
1994
Multiplicative functions on arithmetic progressions. VII: Large moduli. Zbl 1020.11059
Elliott, P. D. T. A.
7
2002
The distribution of the values of additive arithmetical functions. Zbl 0221.10056
Elliott, P. D. T. A.; Ryavec, C.
7
1971
Extrapolating the mean-values of multiplicative functions. Zbl 0696.10041
Elliott, P. D. T. A.
7
1989
The distribution of the number of prime divisors of sums \(a+b\). Zbl 0646.10042
Elliott, P. D. T. A.; Sárközy, A.
6
1988
Multiplicative functions on arithmetic progressions. II. Zbl 0653.10042
Elliott, P. D. T. A.
6
1988
A conjecture of Katai. Zbl 0287.10047
Elliott, P. D. T. A.
6
1974
Least zero of a cubic form. Zbl 1300.11028
Browning, T. D.; Dietmann, R.; Elliott, P. D. T. A.
6
2012
On the size of \(L(1,\chi)\). Zbl 0175.04302
Elliott, P. D. T. A.
6
1969
Multiplicative functions on arithmetic progressions. VI: More middle moduli. Zbl 0780.11042
Elliott, P. D. T. A.
6
1993
Community detection using spectral clustering on sparse geosocial data. Zbl 1348.62268
van Gennip, Yves; Hunter, Blake; Ahn, Raymond; Elliott, Peter; Luh, Kyle; Halvorson, Megan; Reid, Shannon; Valasik, Matthew; Wo, James; Tita, George E.; Bertozzi, Andrea L.; Brantingham, P. Jeffrey
6
2013
Multiplicative functions on arithmetic progressions. V: Composite moduli. Zbl 0671.10045
Elliott, P. D. T. A.
5
1990
Primes in short arithmetic progressions with rapidly increasing differences. Zbl 0987.11057
Elliott, P. D. T. A.
5
2001
On inequalities of large sieve type. Zbl 0224.10046
Elliott, P. D. T. A.
5
1971
On distribution functions (mod 1): quantitative Fourier inversion. Zbl 0253.10042
Elliott, P. D. T. A.
5
1972
On the limiting distribution of additive arithmetic functions. Zbl 0287.10046
Elliott, P. D. T. A.
5
1974
A class of additive arithmetic functions with asymptotically normal distribution. Zbl 0286.10028
Elliott, P. D. T. A.
5
1973
Central limit theorems for classical cusp forms. Zbl 1380.11031
Elliott, P. D. T. A.
5
2015
Corrigendum to: “Central limit theorems for classical cusp forms”. Zbl 1380.11032
Elliott, P. D. T. A.
5
2015
Primes in progressions to moduli with a large power factor. Zbl 1127.11063
Elliott, P. D. T. A.
5
2007
The average of the least primitive root. Zbl 0174.08105
Burgess, D. A.; Elliott, P. D. T. A.
5
1968
Functional analysis and additive arithmetic functions. Zbl 0621.10034
Elliott, P. D. T. A.
4
1987
Multiplicative functions on arithmetic progressions. IV: The middle moduli. Zbl 0671.10044
Elliott, P. D. T. A.
4
1990
Additive arithmetic functions on arithmetic progressions. Zbl 0581.10018
Elliott, P. D. T. A.
4
1987
The Turan-Kubilius inequality, and a limitation theorem for the large sieve. Zbl 0213.33101
Elliott, P. D. T. A.
4
1970
Sur les fonctions arithmétiques additives. Zbl 0286.10029
Elliott, Peter D. T. A.
4
1974
On the differences of additive arithmetic functions. Zbl 0369.10032
Elliott, P. D. T. A.
4
1978
Cauchy’s functional equation in the mean. Zbl 0541.39003
Elliott, P. D. T. A.
4
1984
Harmonic analysis on the positive rationals. Determination of the group generated by the ratios \((an+b)/(An+B)\). Zbl 1434.11158
Elliott, P. D. T. A.; Kish, Jonathan
4
2017
Multiplicative function mean values: asymptotic estimates. Zbl 1427.11092
Elliott, Peter D. T. A.
4
2017
On the limiting distribution of additive functions (mod 1). Zbl 0228.10029
Elliott, P. D. T. A.
4
1971
The distribution of primitive roots. Zbl 0205.34904
Elliott, P. D. T. A.
4
1969
The norms of compositions of arithmetic operators. Zbl 0606.10044
Elliott, P. D. T. A.
4
1987
The least prime primitive root and Linnik’s theorem. Zbl 1032.11040
Elliott, P. D. T. A.
4
2002
Multiplicative functions \(| g| \leq 1\) and their convolutions: An overview. Zbl 0689.10051
Elliott, P. D. T. A.
4
1990
The multiplicative group of rationals generated by the shifted primes. I. Zbl 0817.11042
Elliott, P. D. T. A.
3
1995
Some applications of a theorem of Raikov to number theory. Zbl 0213.33503
Elliott, P. D. T. A.
3
1970
The least prime in an arithmetic progression. Zbl 0224.10047
Elliott, P. D. T. A.; Halberstam, H.
3
1971
On the limiting distribution of \(f(p + 1)\) for non-negative additive functions. Zbl 0278.10050
Elliott, P. D. T. A.
3
1974
General asymptotic distributions for additive arithmetic functions. Zbl 0319.10063
Elliott, P. D. T. A.
3
1976
On the limiting distribution of additive arithmetic functions: logarithmic renormalization. Zbl 0319.10062
Elliott, P. D. T. A.
3
1975
The Turan-Kubilius inequality. Zbl 0371.10042
Elliott, P. D. T. A.
3
1977
The value distribution of additive arithmetic functions on a line. Zbl 1210.11088
Elliott, P. D. T. A.
3
2010
A central limit theorem for Ramanujan’s tau function. Zbl 1277.11094
Elliott, P. D. T. A.
3
2012
Sums and differences of additive arithmetic functions in mean square. Zbl 0407.10037
Elliott, P. D. T. A.
2
1979
Additive arithmetic functions on intervals. Zbl 0646.10041
Elliott, P. D. T. A.
2
1988
Multiplicative functions on arithmetic progressions. III: The large moduli. Zbl 0671.10043
Elliott, P. D. T. A.
2
1990
A conjecture of Erdős concerning character sums. Zbl 0188.33905
Elliott, P. D. T. A.
2
1969
Some notes on \(k\)-th power residues. Zbl 0199.36503
Elliott, P. D. T. A.
2
1968
On additive functions whose limiting distributions possess a finite mean and variance. Zbl 0271.10047
Elliott, P. D. T. A.
2
1973
On the distribution of the roots of certain congruences and a problem for additive arithmetic functions. Zbl 0516.10049
Elliott, P. D. T. A.
2
1983
A problem of Erdős concerning power residue sums. Zbl 0159.06401
Elliott, P. D. T. A.
2
1967
The distribution of power residues and certain related results. Zbl 0216.31402
Elliott, P. D. T. A.
2
1970
Harmonic analysis on the positive rationals. I: Basic results. Zbl 1370.11112
Elliott, Peter D. T. A.; Kish, Jonathan
2
2016
On connections between the Turan-Kubilius inequality and the large sieve: Some applications. Zbl 0268.10039
Elliott, P. D. T. A.
2
1973
On primes and powers of a fixed integer. Zbl 1046.11065
Elliott, P. D. T. A.
2
2003
An abstract central limit theorem for eigenforms. Zbl 1365.11113
Elliott, P. D. T. A.
2
2012
Some remarks about multiplicative functions of modulus \(\leq 1\). Zbl 0722.11044
Elliott, P. D. T. A.
2
1990
On sums of an additive arithmetic function with shifted arguments. Zbl 0439.10036
Elliott, P. D. T. A.
1
1980
Recent results in the theory of arithmetic functions. Zbl 0451.10033
Elliott, P. D. T. A.
1
1981
The exponential function characterized by an approximate functional equation. Zbl 0504.39009
Elliott, P. D. T. A.
1
1982
A localized Erdős-Wintner theorem. Zbl 0632.10050
Elliott, P. D. T. A.
1
1988
A local Turán-Kubilius inequality. Zbl 0642.10039
Elliott, P. D. T. A.
1
1987
The multiplicative group of rationals generated by the shifted primes. II. Zbl 1044.11088
Elliott, P. D. T. A.
1
2000
The value distribution of reducible cubics. Zbl 0577.10040
Elliott, P. D. T. A.
1
1985
Shifted primes and Kubilius models. Zbl 0923.11116
Elliott, P. D. T. A.
1
1997
On the least pair of consecutive quadratic non-residues (mod p). Zbl 0336.10043
Elliott, P. D. T. A.
1
1972
On a problem of Hardy and Ramanujan. Zbl 0329.10044
Elliott, P. D. T. A.
1
1976
On two conjectures of Katai. Zbl 0343.10026
Elliott, P. D. T. A.
1
1976
A new inequality in the theory of additive arithmetic functions. Zbl 0516.10050
Elliott, P. D. T. A.
1
1983
On representing integers as products of integers of a prescribed type. Zbl 0519.10029
Elliott, P. D. T. A.
1
1983
On maximal versions of the large sieve. Zbl 0735.11038
Elliott, P. D. T. A.
1
1991
Additive functions on shifted primes. Zbl 0759.11025
Elliott, P. D. T. A.
1
1992
Harmonic analysis on the positive rationals. Determination of the group generated by the ratios \((an+b)/(An+B)\). Zbl 1434.11158
Elliott, P. D. T. A.; Kish, Jonathan
4
2017
Multiplicative function mean values: asymptotic estimates. Zbl 1427.11092
Elliott, Peter D. T. A.
4
2017
Harmonic analysis on the positive rationals. II: Multiplicative functions and Maass forms. Zbl 1414.11118
Elliott, Peter D. T. A.; Kish, Jonathan
9
2016
Harmonic analysis on the positive rationals. I: Basic results. Zbl 1370.11112
Elliott, Peter D. T. A.; Kish, Jonathan
2
2016
Central limit theorems for classical cusp forms. Zbl 1380.11031
Elliott, P. D. T. A.
5
2015
Corrigendum to: “Central limit theorems for classical cusp forms”. Zbl 1380.11032
Elliott, P. D. T. A.
5
2015
Community detection using spectral clustering on sparse geosocial data. Zbl 1348.62268
van Gennip, Yves; Hunter, Blake; Ahn, Raymond; Elliott, Peter; Luh, Kyle; Halvorson, Megan; Reid, Shannon; Valasik, Matthew; Wo, James; Tita, George E.; Bertozzi, Andrea L.; Brantingham, P. Jeffrey
6
2013
Least zero of a cubic form. Zbl 1300.11028
Browning, T. D.; Dietmann, R.; Elliott, P. D. T. A.
6
2012
A central limit theorem for Ramanujan’s tau function. Zbl 1277.11094
Elliott, P. D. T. A.
3
2012
An abstract central limit theorem for eigenforms. Zbl 1365.11113
Elliott, P. D. T. A.
2
2012
Operator norms and the mean values of multiplicative functions. Zbl 1347.11069
Elliott, Peter D. T. A.
1
2012
The value distribution of additive arithmetic functions on a line. Zbl 1210.11088
Elliott, P. D. T. A.
3
2010
Primes in progressions to moduli with a large power factor. Zbl 1127.11063
Elliott, P. D. T. A.
5
2007
Primes and powers of a fixed integer. II. Zbl 1046.11066
Elliott, P. D. T. A.
1
2004
On primes and powers of a fixed integer. Zbl 1046.11065
Elliott, P. D. T. A.
2
2003
Multiplicative functions on arithmetic progressions. VII: Large moduli. Zbl 1020.11059
Elliott, P. D. T. A.
7
2002
The least prime primitive root and Linnik’s theorem. Zbl 1032.11040
Elliott, P. D. T. A.
4
2002
Product representations by rationals. Zbl 1132.11352
Elliott, P. D. T. A.
1
2002
‘Cast thy bread upon the waters …’. A personal view of the mathematician Paul Erdős. Zbl 1046.01010
Elliott, P. D. T. A.
1
2002
Network models for social influence processes. Zbl 1293.62270
Robins, Garry; Pattison, Philippa; Elliott, Peter
13
2001
Primes in short arithmetic progressions with rapidly increasing differences. Zbl 0987.11057
Elliott, P. D. T. A.
5
2001
Ramifications of probabilistic number theory. Zbl 1047.11523
Elliott, P. D. T. A.
1
2001
The multiplicative group of rationals generated by the shifted primes. II. Zbl 1044.11088
Elliott, P. D. T. A.
1
2000
On products of shifted primes. Zbl 0907.11032
Berrizbeitia, P.; Elliott, P. D. T. A.
1
1998
The least primitive root mod \(2p^2\). Zbl 0998.11047
Elliott, P. D. T. A.; Murata, L.
1
1998
Duality in analytic number theory. Zbl 0887.11002
Elliott, P. D. T. A.
18
1997
On the average of the least primitive root modulo \(p\). Zbl 0892.11031
Elliott, P. D. T. A.; Murata, Leo
7
1997
Shifted primes and Kubilius models. Zbl 0923.11116
Elliott, P. D. T. A.
1
1997
The multiplicative group of rationals generated by the shifted primes. I. Zbl 0817.11042
Elliott, P. D. T. A.
3
1995
On the correlation of multiplicative and the sum of additive arithmetic functions. Zbl 0824.11056
Elliott, P. D. T. A.
19
1994
The concentration function of additive functions on shifted primes. Zbl 0824.11057
Elliott, P. D. T. A.
7
1994
Multiplicative functions on arithmetic progressions. VI: More middle moduli. Zbl 0780.11042
Elliott, P. D. T. A.
6
1993
On the correlation of multiplicative functions. Zbl 0810.11055
Elliott, P. D. T. A.
17
1992
Additive functions on shifted primes. Zbl 0759.11025
Elliott, P. D. T. A.
1
1992
On maximal versions of the large sieve. Zbl 0735.11038
Elliott, P. D. T. A.
1
1991
Multiplicative functions on arithmetic progressions. V: Composite moduli. Zbl 0671.10045
Elliott, P. D. T. A.
5
1990
Multiplicative functions on arithmetic progressions. IV: The middle moduli. Zbl 0671.10044
Elliott, P. D. T. A.
4
1990
Multiplicative functions \(| g| \leq 1\) and their convolutions: An overview. Zbl 0689.10051
Elliott, P. D. T. A.
4
1990
Multiplicative functions on arithmetic progressions. III: The large moduli. Zbl 0671.10043
Elliott, P. D. T. A.
2
1990
Some remarks about multiplicative functions of modulus \(\leq 1\). Zbl 0722.11044
Elliott, P. D. T. A.
2
1990
Applications of elementary functional analysis to the study of arithmetic functions. Zbl 0704.11022
Elliott, P. D. T. A.
1
1990
Extrapolating the mean-values of multiplicative functions. Zbl 0696.10041
Elliott, P. D. T. A.
7
1989
Multiplicative functions on arithmetic progressions. Zbl 0726.11058
Elliott, P. D. T. A.
1
1989
The value distribution of differences of additive arithmetic functions. Zbl 0707.11058
Elliott, P. D. T. A.
1
1989
Introduction to analytic number theory. Transl. from the Russian by G. A. Kandall. Ed. by Ben Silver. Appendix by P. D. T. A. Elliott. Zbl 0641.10001
Postnikov, A. G.
40
1988
The distribution of the number of prime divisors of sums \(a+b\). Zbl 0646.10042
Elliott, P. D. T. A.; Sárközy, A.
6
1988
Multiplicative functions on arithmetic progressions. II. Zbl 0653.10042
Elliott, P. D. T. A.
6
1988
Additive arithmetic functions on intervals. Zbl 0646.10041
Elliott, P. D. T. A.
2
1988
A localized Erdős-Wintner theorem. Zbl 0632.10050
Elliott, P. D. T. A.
1
1988
Multiplicative functions on arithmetic progressions. Zbl 0637.10032
Elliott, P. D. T. A.
9
1987
Functional analysis and additive arithmetic functions. Zbl 0621.10034
Elliott, P. D. T. A.
4
1987
Additive arithmetic functions on arithmetic progressions. Zbl 0581.10018
Elliott, P. D. T. A.
4
1987
The norms of compositions of arithmetic operators. Zbl 0606.10044
Elliott, P. D. T. A.
4
1987
A local Turán-Kubilius inequality. Zbl 0642.10039
Elliott, P. D. T. A.
1
1987
Localised value-distribution of additive arithmetic functions. Zbl 0609.10039
Elliott, P. D. T. A.
1
1987
Arithmetic functions and integer products. Zbl 0559.10032
Elliott, P. D. T. A.
32
1985
The value distribution of reducible cubics. Zbl 0577.10040
Elliott, P. D. T. A.
1
1985
On the absolute value of Ramanujan’s \(\tau\)-function. Zbl 0513.10024
Elliott, P. D. T. A.; Moreno, C. J.; Shahidi, F.
15
1984
Cauchy’s functional equation in the mean. Zbl 0541.39003
Elliott, P. D. T. A.
4
1984
On the distribution of the roots of certain congruences and a problem for additive arithmetic functions. Zbl 0516.10049
Elliott, P. D. T. A.
2
1983
A new inequality in the theory of additive arithmetic functions. Zbl 0516.10050
Elliott, P. D. T. A.
1
1983
On representing integers as products of integers of a prescribed type. Zbl 0519.10029
Elliott, P. D. T. A.
1
1983
The exponential function characterized by an approximate functional equation. Zbl 0504.39009
Elliott, P. D. T. A.
1
1982
Multiplicative functions and Ramanujan’s tau-function. Zbl 0469.10024
Elliott, P. D. T. A.
7
1981
Recent results in the theory of arithmetic functions. Zbl 0451.10033
Elliott, P. D. T. A.
1
1981
Probabilistic number theory. II: Central limit theorems. Zbl 0431.10030
Elliott, P. D. T. A.
96
1980
High-power analogues of the Turan-Kubilius inequality, and an application to number theory. Zbl 0444.10051
Elliott, P. D. T. A.
12
1980
Mean value theorems for multiplicative functions bounded in mean \(\alpha\)-power, \(\alpha >1\). Zbl 0426.10050
Elliott, P. D. T. A.
9
1980
On sums of an additive arithmetic function with shifted arguments. Zbl 0439.10036
Elliott, P. D. T. A.
1
1980
Probabilistic number theory. I: Mean-value theorems. Zbl 0431.10029
Elliott, P. D. T. A.
150
1979
Sums and differences of additive arithmetic functions in mean square. Zbl 0407.10037
Elliott, P. D. T. A.
2
1979
On the differences of additive arithmetic functions. Zbl 0369.10032
Elliott, P. D. T. A.
4
1978
The Turan-Kubilius inequality. Zbl 0371.10042
Elliott, P. D. T. A.
3
1977
General asymptotic distributions for additive arithmetic functions. Zbl 0319.10063
Elliott, P. D. T. A.
3
1976
On a problem of Hardy and Ramanujan. Zbl 0329.10044
Elliott, P. D. T. A.
1
1976
On two conjectures of Katai. Zbl 0343.10026
Elliott, P. D. T. A.
1
1976
A mean-value theorem for multiplicative functions. Zbl 0319.10055
Elliott, P. D. T. A.
25
1975
The law of large numbers for additive arithmetic functions. Zbl 0329.10043
Elliott, P. D. T. A.
9
1975
On the limiting distribution of additive arithmetic functions: logarithmic renormalization. Zbl 0319.10062
Elliott, P. D. T. A.
3
1975
A conjecture of Katai. Zbl 0287.10047
Elliott, P. D. T. A.
6
1974
On the limiting distribution of additive arithmetic functions. Zbl 0287.10046
Elliott, P. D. T. A.
5
1974
Sur les fonctions arithmétiques additives. Zbl 0286.10029
Elliott, Peter D. T. A.
4
1974
On the limiting distribution of \(f(p + 1)\) for non-negative additive functions. Zbl 0278.10050
Elliott, P. D. T. A.
3
1974
On the position of a theorem of Kubilius in probabilistic number theory. Zbl 0268.10040
Elliott, P. D. T. A.
1
1974
On the distribution of the values of quadratic L-series in the half-plane \(\sigma > 1/2\). Zbl 0265.10022
Elliott, P. D. T. A.
23
1973
A class of additive arithmetic functions with asymptotically normal distribution. Zbl 0286.10028
Elliott, P. D. T. A.
5
1973
On additive functions whose limiting distributions possess a finite mean and variance. Zbl 0271.10047
Elliott, P. D. T. A.
2
1973
On connections between the Turan-Kubilius inequality and the large sieve: Some applications. Zbl 0268.10039
Elliott, P. D. T. A.
2
1973
On the distribution of \(\text{arg} L(s,\chi)\) in the halfplane \(\sigma> {1\over 2}\). Zbl 0248.10033
Elliott, P. D. T. A.
17
1972
The Riemann zeta function and coin tossing. Zbl 0241.10025
Elliott, P. D. T. A.
8
1972
On distribution functions (mod 1): quantitative Fourier inversion. Zbl 0253.10042
Elliott, P. D. T. A.
5
1972
On the least pair of consecutive quadratic non-residues (mod p). Zbl 0336.10043
Elliott, P. D. T. A.
1
1972
On the distribution of the values of Dirichlet L-series in the half-plane \(\sigma > 1/2\). Zbl 0222.10041
Elliott, P. D. T. A.
16
1971
The least prime k-th-power residue. Zbl 0224.10049
Elliott, P. D. T. A.
9
1971
The distribution of the values of additive arithmetical functions. Zbl 0221.10056
Elliott, P. D. T. A.; Ryavec, C.
7
1971
On inequalities of large sieve type. Zbl 0224.10046
Elliott, P. D. T. A.
5
1971
On the limiting distribution of additive functions (mod 1). Zbl 0228.10029
Elliott, P. D. T. A.
4
1971
The least prime in an arithmetic progression. Zbl 0224.10047
Elliott, P. D. T. A.; Halberstam, H.
3
1971
A conjecture in prime number theory. Zbl 0238.10030
Elliott, P. D. T. A.; Halberstam, H.
39
1970
On the mean value of \(f(p)\). Zbl 0218.10059
Elliott, P. D. T. A.
14
1970
...and 15 more Documents
all top 5

Cited by 461 Authors

38 Elliott, Peter D. T. A.
22 Manstavičius, Eugenijus
19 Indlekofer, Karl-Heinz
17 Kátai, Imre
16 Laurinčikas, Antanas
13 Stepanauskas, Gediminas
12 Šiaulys, Jonas
12 Tenenbaum, Gérald
11 De Koninck, Jean-Marie
11 Granville, Andrew James
10 Lucht, Lutz Gerhard
10 Pollack, Paul
9 Shparlinski, Igor E.
9 Tao, Terence
8 Hildebrand, Adolf J.
7 Erdős, Pál
7 Luca, Florian
7 Murty, Maruti Ram
7 Stankus, Eugenijus
7 Teräväinen, Joni
6 Radziwiłł, Maksym
6 Soundararajan, Kannan
6 Stakėnas, Vilius
5 Akbary, Amir
5 Daboussi, Hedi
5 de la Bretèche, Régis
5 Fouvry, Etienne
5 Klurman, Oleksiy
5 Mačiulis, Algirdas
5 Maier, Helmut
5 Pomerance, Carl Bernard
5 Sárközy, András
5 Timofeev, Nikolaĭ Mikhaĭlovich
5 Vatwani, Akshaa
4 Ford, Kevin B.
4 Frantzikinakis, Nikos
4 Garbaliauskienė, Virginija
4 Lu, Guangshi
4 Mangerel, Alexander P.
4 Matomäki, Kaisa
4 Maynard, James
4 Purdy, George B.
4 Robins, Garry L.
4 Steuding, Jörn
4 Wu, Jie
4 Zhang, Wenbin
3 Baier, Stephan
3 Bareikis, Gintautas
3 Bui Minh Phong
3 Cho, Peter Jaehyun
3 De Zeeuw, Frank
3 Fujii, Akio
3 Gun, Sanoli
3 Hamieh, Alia
3 Host, Bernard
3 Kerr, Bryce
3 Kim, Henry H.
3 Kubilius, Jonas
3 Mauduit, Christian
3 Pattison, Philippa E.
3 Pintz, Janos
3 Rassias, Michael Th.
3 Richter, Florian Karl
3 Royer, Emmanuel
3 Sivaraman, Jyothsnaa
3 Thuswaldner, Jörg Maximilian
3 Tulyaganov, S. T.
3 Williams, Hugh Cowie
3 Wolke, Dieter
3 Žvinytė, Laura
2 Bachman, Gennady
2 Balazard, Michel
2 Banks, William David
2 Benli, Kübra
2 Bergelson, Vitaly
2 Bingham, Nicholas Hugh
2 Cranston, Michael Craig
2 Deléglise, Marc
2 Deshouillers, Jean-Marc
2 Felix, Adam Tyler
2 Fomenko, Oleg Mstislavovich
2 Friedlander, John Benjamin
2 Fukshansky, Lenny
2 Galambos, Janos
2 Germán, László
2 Goldston, Daniel Alan
2 Grabner, Peter J.
2 Halupczok, Karin
2 Harper, Adam J.
2 Hinz, Jürgen G.
2 Huang, Bingrong
2 Hudson, Richard H.
2 Kandhil, Neelam
2 Khripunova, Marina B.
2 Kim, Sungjin
2 Kish, Jonathan
2 Kolupayeva, Alesia
2 Korevaar, Jacob
2 Koskinen, Johan H.
2 Koukoulopoulos, Dimitris
...and 361 more Authors
all top 5

Cited in 142 Serials

76 Lithuanian Mathematical Journal
65 Journal of Number Theory
22 The Ramanujan Journal
14 Mathematical Proceedings of the Cambridge Philosophical Society
13 Mathematische Zeitschrift
13 International Journal of Number Theory
12 Proceedings of the American Mathematical Society
12 Acta Mathematica Hungarica
11 Mathematical Notes
10 Transactions of the American Mathematical Society
9 Archiv der Mathematik
9 Monatshefte für Mathematik
8 Mathematics of Computation
8 Mathematika
7 Acta Arithmetica
7 Advances in Mathematics
7 Mathematische Annalen
7 Journal de Théorie des Nombres de Bordeaux
6 Bulletin of the London Mathematical Society
6 Compositio Mathematica
6 Functiones et Approximatio. Commentarii Mathematici
6 Bulletin of the American Mathematical Society. New Series
5 Discrete Mathematics
5 Periodica Mathematica Hungarica
5 Psychometrika
5 Duke Mathematical Journal
5 Proceedings of the Japan Academy. Series A
5 Aequationes Mathematicae
5 Research in the Mathematical Sciences
5 Research in Number Theory
4 Acta Mathematica
4 Annales de l’Institut Fourier
4 Bulletin de la Société Mathématique de France
4 Inventiones Mathematicae
4 Discrete & Computational Geometry
4 Geometric and Functional Analysis. GAFA
4 Indagationes Mathematicae. New Series
4 Experimental Mathematics
4 Algebra & Number Theory
3 Israel Journal of Mathematics
3 Journal of Mathematical Analysis and Applications
3 The Journal of Mathematical Sociology
3 Journal für die Reine und Angewandte Mathematik
3 Journal of Soviet Mathematics
3 Acta Applicandae Mathematicae
3 Annals of Mathematics. Second Series
3 Mathematical Modelling and Analysis
3 Journal of the Australian Mathematical Society
3 Bulletin of the American Mathematical Society
3 Forum of Mathematics, Sigma
3 Annales Mathématiques du Québec
2 Bulletin of the Australian Mathematical Society
2 Information Processing Letters
2 Physica A
2 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg
2 Glasgow Mathematical Journal
2 Manuscripta Mathematica
2 Michigan Mathematical Journal
2 Proceedings of the London Mathematical Society. Third Series
2 Theoretical Computer Science
2 Statistics & Probability Letters
2 Revista Matemática Iberoamericana
2 Journal of the American Mathematical Society
2 Journal of the Ramanujan Mathematical Society
2 Chebyshevskiĭ Sbornik
2 Proceedings of the Steklov Institute of Mathematics
2 Frontiers of Mathematics in China
2 Acta Mathematica Universitatis Ostraviensis
2 Science China. Mathematics
2 Discrete Analysis
1 The Canadian Journal of Statistics
1 Computers & Mathematics with Applications
1 Communications on Pure and Applied Mathematics
1 Indian Journal of Pure & Applied Mathematics
1 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV)
1 Journal of Statistical Physics
1 Rocky Mountain Journal of Mathematics
1 Ukrainian Mathematical Journal
1 Canadian Mathematical Bulletin
1 Colloquium Mathematicum
1 Geometriae Dedicata
1 Journal of Approximation Theory
1 Journal of Functional Analysis
1 Journal of Mathematical Psychology
1 Journal of the Mathematical Society of Japan
1 Nagoya Mathematical Journal
1 Osaka Journal of Mathematics
1 Rendiconti del Seminario Matemàtico e Fisico di Milano
1 Topology and its Applications
1 European Journal of Combinatorics
1 Ergodic Theory and Dynamical Systems
1 Probability Theory and Related Fields
1 Algorithmica
1 Journal of Theoretical Probability
1 Applied Mathematics Letters
1 SIAM Journal on Discrete Mathematics
1 Séminaire de Théorie des Nombres de Bordeaux. Deuxième Série
1 Random Structures & Algorithms
1 Annales de l’Institut Henri Poincaré. Nouvelle Série. Section B. Calcul des Probabilités et Statistique
1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
...and 42 more Serials

Citations by Year

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