selected publications
-
book
- Analytic and elementary number theory. Ed. 1. 1998
- Duality in Analytic Number Theory 1997
- Introduction to analytic number theory. Ed. 68. 1988
- Arithmetic Functions and Integer Products 1985
- Probabilistic number theory. II. Ed. 240. 1980
- Probabilistic number theory. I. Ed. 239. 1979
-
chapter
- Multiplicative Functions and the Sign of Maass Form Fourier Coefficients. 109-120. 2016
- AN ABSTRACT CENTRAL LIMIT THEOREM FOR EIGENFORMS. 131-142. 2012
- Elementary geometry of Hilbert spaces applied to abelian groups. 170-179. 2009
- The ramifications of a shift by 2. 69-77. 2007
- Product representations by rationals. 119-150. 2002
- The least prime primitive root and Linnik’s theorem. 393-418. 2002
- “Cast thy bread upon the waters$dots$” A personal view of the mathematician Paul ErdH os. 175-218. 2002
- On a multiplicative analogue of Goldbach’s conjecture. 771-793. 1999
- Shifted primes and Kubilius models. 297-312. 1997
- The distribution of the number of prime divisors of numbers of form $ab+1$. 313-321. 1997
- Fractional power large sieves. 323-332. 1996
- Applications of elementary functional analysis to the study of arithmetic functions. 35-43. 1990
- Multiplicative functions $vert gvert leq 1$ and their convolutions: an overview. 63-75. 1990
- Multiplicative functions on arithmetic progressions. III. The large moduli. 177-194. 1990
- Some remarks about multiplicative functions of modulus $leq 1$. 159-164. 1990
- Multiplicative functions on arithmetic progressions. 31-37. 1989
- The distribution of additive functions defined on short intervals. Exp. No. 29-8. 1988
- A new inequality in the theory of additive arithmetic functions. 53-58. 1983
- Subsequences of primes in residue classes to prime moduli. 157-164. 1983
- Recent results in the theory of arithmetic functions. 19-29. 1981
- On connections between the Turán-Kubilius inequality and the large sieve: some applications. 77-82. 1973
- The least prime in an arithmetic progression. 59-61. 1971
- A conjecture in prime number theory. 59-72. 1970
- Mean value theorems by the method of high moments. 31-34. 1970
-
conference proceeding
-
journal article
- From Ramanujan to Groups of Rationals. A personal History of Abstract Multiplicative Functions. Springer Proceedings in Mathematics and Statistics. 267-295. 2018
- Multiplicative function mean values: asymptotic estimates. Functiones et Approximatio Commentarii Mathematici. 2017
- HAEMONIC ANALYSIS ON THE POSITIVE RATIONALS. DETERMINATION OF THE GROUP GENERATED BY THE RATIOS (an plus b)/(An plus B). Mathematika: a journal of pure and applied mathematics. 919-943. 2017
- Harmonic Analysis on the Positive Rationals I:Basic Results.. 569-614. 2016
- Harmonic Analysis on the Positive rationals II: Multiplicative Functions and Maass Forms. 615-658. 2016
- Additive and multiplicative functions from Nottingham to Urbana-Champaign. International Journal of Number Theory. 1357-1366. 2015
- Central limit theorems for classical cusp forms. The Ramanujan Journal: an international journal devoted to areas of mathematics influenced by Ramanu. 81-98. 2015
- Corrigendum: central limit theorems for classical cusp forms. The Ramanujan Journal: an international journal devoted to areas of mathematics influenced by Ramanu. 99-102. 2015
- Jonas Kubilius and Probabilistic Number Theory Some Personal Reflections. Lithuanian Mathematical Journal. 2-24. 2015
- A central limit theorem for Ramanujan's tau function. The Ramanujan Journal: an international journal devoted to areas of mathematics influenced by Ramanu. 145-161. 2012
- Least zero of a cubic form. Mathematische Annalen. 745-778. 2012
- The distribution in residue classes of integers omitting unspecified prime divisors. Commentarii Mathematici Universitatis Sancti Pauli. 9-14. 2011
- Variations on a Paper of Erdős and Heilbronn. Canadian Mathematical Bulletin. 654-660. 2010
- The value distribution of additive arithmetic functions on a line. Journal fuer die Reine und Angewandte Mathematik: Crelle's journal. 57-108. 2010
- Monotone additive functions on shifted primes. The Ramanujan Journal: an international journal devoted to areas of mathematics influenced by Ramanu. 87-102. 2008
- Primes in progressions to moduli with a large power factor. The Ramanujan Journal: an international journal devoted to areas of mathematics influenced by Ramanu. 241-251. 2007
- Primes and powers of a fixed integer, II. Journal fuer die Reine und Angewandte Mathematik: Crelle's journal. 2004
- ON PRIMES AND POWERS OF A FIXED INTEGER. Journal of London Mathematical Society. 365-379. 2003
- More primes and polynomials. The Ramanujan Journal: an international journal devoted to areas of mathematics influenced by Ramanu. 299-320. 2003
- Primes, products and polynomials. Inventiones Mathematicae. 453-487. 2002
- Multiplicative Functions on Arithmetic Progressions. VII: Large Moduli. Journal of London Mathematical Society. 14-28. 2002
- Primes in short arithmetic progressions with rapidly increasing differences. Transactions of the American Mathematical Society. 2705-2724. 2001
- Ramifications of probabilistic number theory. 33-50. 2001
- The multiplicative group of rationals generated by the shifted primes, II. Journal fuer die Reine und Angewandte Mathematik: Crelle's journal. 2000
- Product Bases for the Rationals. Canadian Mathematical Bulletin. 441-444. 1999
- Products of shifted primes: Multiplicative analogues of Goldbach's problem. Acta Arithmetica. 31-50. 1999
- The least primitive root mod 2; p; 2. Mathematika: a journal of pure and applied mathematics. 371-379. 1998
- On products of shifted primes. The Ramanujan Journal: an international journal devoted to areas of mathematics influenced by Ramanu. 219-223. 1998
- Products of shifted primes. Multiplicative analogues of Goldbach’s problems. II. The Ramanujan Journal: an international journal devoted to areas of mathematics influenced by Ramanu. 201-217. 1998
- On the Average of the Least Primitive Root Modulo p. Journal of London Mathematical Society. 435-454. 1997
- The multiplicative group of rationals generated by the shifted primes, I.. Journal fuer die Reine und Angewandte Mathematik: Crelle's journal. 169-216. 1995
- On the correlation of multiplicative and the sum of additive arithmetic functions. Memoirs of the American Mathematical Society. 0-0. 1994
- The concentration function of additive functions on shifted primes. Acta Mathematica. 1-35. 1994
- The multiplicative group of rationals generated by the shifted primes. 1-9. 1994
- From a Large Sieve to the Orthogonality of Operators. Journal of London Mathematical Society. 427-440. 1993
- Multiplicative Functions on Arithmetic Progressions. VI. More Middle Moduli. Journal of Number Theory. 178-208. 1993
- Additive functions on shifted primes. Bulletin of the American Mathematical Society. 273-278. 1992
- On maximal versions of the large sieve. II. 379-383. 1992
- On the correlation of multiplicative functions. 1-11. 1992
- On maximal versions of the large sieve. 149-164. 1991
- Multiplicative Functions on Arithmetic Progressions: V. Composite Moduli. Journal of London Mathematical Society. 408-424. 1990
- Multiplicative Functions on Arithmetic Progressions: IV. The Middle Moduli. Journal of London Mathematical Society. 201-216. 1990
- The value distribution of differences of additive arithmetic functions. Journal of Number Theory. 339-370. 1989
- Extrapolating the mean-values of multiplicative functions. Indagationes Mathematicae. 409-420. 1989
- A localized Erdős-Wintner theorem. Pacific Journal of Mathematics. 287-297. 1988
- Multiplicative functions on arithmetic progressions, II.. Mathematika: a journal of pure and applied mathematics. 38-50. 1988
- The distribution of the number of prime divisors of sums a + b. Journal of Number Theory. 94-99. 1988
- Additive arithmetic functions on intervals. Cambridge Philosophical Society: Mathematical Proceedings. 163-179. 1988
- Multiplicative functions on arithmetic progressions. Mathematika: a journal of pure and applied mathematics. 199-206. 1987
- The Norms of Compositions of Arithmetic Operators. Bulletin of the London Mathematical Society. 522-530. 1987
- Localised value-distribution of additive arithmetic functions.. Journal fuer die Reine und Angewandte Mathematik: Crelle's journal. 64-75. 1987
- A local Turán-Kubilius inequality. Acta Arithmetica. 127-139. 1987
- Additive Arithmetic Functions on Arithmetic Progressions. Proceedings of the London Mathematical Society. 15-37. 1987
- Functional analysis and additive arithmetic functions. Bulletin of the American Mathematical Society. 179-223. 1987
- Persistence of Form and the Value Group of Reducible Cubics. Transactions of the American Mathematical Society. 133-133. 1987
- On the multiplicative group generated by a dense sequence of integers. Monatshefte fuer Mathematik. 3-6. 1986
- Linear Recurrences in Modules. Bulletin of the London Mathematical Society. 1-4. 1986
- The Value Distribution of Reducible Cubics. Canadian Mathematical Bulletin. 328-336. 1985
- An arithmetic operator and the functions on which it is part-bounded. Letters in Mathematical Physics. 107-110. 1985
- On the absolute value of Ramanujan's ?-function. Mathematische Annalen. 507-511. 1984
- On representing integers as products of thep + 1. Monatshefte fuer Mathematik. 85-97. 1984
- Cauchy's functional equation in the mean. Advances in Mathematics. 253-257. 1984
- On additive arithmetic functions f(n) for which f(an + b) − f(cn + d) is bounded. Journal of Number Theory. 285-310. 1983
- On the distribution of the roots of certain congruences and a problem for additive arithmetic functions. Journal of Number Theory. 267-282. 1983
- On representing integers as products of integers of a prescribed type. Journal- Australian Mathematical Society Series a. 143-161. 1983
- The simultaneous representation of integers by products of certain rational functions. Journal- Australian Mathematical Society Series a. 405-420. 1983
- The exponential function characterized by an approximate functional equation. Illinois Journal of Mathematics. 503-518. 1982
- A remark on the Dirichlet values of a completely reducible polynomial (mod q). Journal of Number Theory. 12-17. 1981
- Multiplicative functions and Ramanujan’s $τ $-function. Journal- Australian Mathematical Society Series a. 461-468. 1981
- On Sums of an Additive Arithmetic Function with Shifted Arguments. Journal of London Mathematical Society. 25-38. 1980
- High-Power Analogues of the Turán-Kubilius Inequality, and an Application to Number Theory. Canadian Journal of Mathematics. 893-907. 1980
- Mean value theorems for multiplicative functions bounded in mean $α $-power, $α >1$. Journal- Australian Mathematical Society Series a. 177-205. 1980
- On the differences of additive functions, II. Acta Arithmetica. 249-256. 1980
- The tails of infinitely divisible laws and a problem in number theory. Journal of Number Theory. 542-551. 1979
- Sums and differences of additive arithmetic functions in mean square.. Journal fuer die Reine und Angewandte Mathematik: Crelle's journal. 21-54. 1979
- Additive arithmetic functions bounded by monotone functions on thin sets. 97-111. 1979
- On certain asymptotic functional equations. Aequationes Mathematicae. 44-52. 1978
- On the differences of additive arithmetic functions. Mathematika: a journal of pure and applied mathematics. 153-165. 1977
- The Turán-Kubilius inequality. Proceedings of the American Mathematical Society. 8-10. 1977
- General asymptotic distributions for additive arithmetic functions. Cambridge Philosophical Society: Mathematical Proceedings. 43-54. 1976
- On a conjecture of Narkiewicz about functions with non-decreasing normal order. Colloquium Mathematicum. 289-294. 1976
- On a problem of Hardy and Ramanujan. Mathematika: a journal of pure and applied mathematics. 10-17. 1976
- On two conjectures of Kátai. Acta Arithmetica. 341-365. 1976
- A Mean-Value Theorem for Multiplicative Functions. Proceedings of the London Mathematical Society. 418-438. 1975
- On the Limiting Distribution of Additive Arithmetic Functions: Logarithmic Renormalization. Proceedings of the London Mathematical Society. 364-384. 1975
- The law of large numbers for additive arithmetic functions. Cambridge Philosophical Society: Mathematical Proceedings. 33-71. 1975
- On the position of a theorem of Kubilius in probabilistic number theory. Mathematische Annalen. 201-209. 1974
- A conjecture of Kátai. Acta Arithmetica. 11-20. 1974
- On the limiting distribution of $f(p+1)$ for non-negative additive functions. Acta Arithmetica. 258-264. 1974
- On the limiting distribution of additive arithmetic functions. Acta Mathematica. 53-75. 1974
- Sur les fonctions arithmétiques additives. 1573-1575. 1974
- On the distribution of the values of quadraticL-series in the half-plane ?>1/2. Inventiones Mathematicae. 319-338. 1973
- On additive functions whose limiting distributions possess a finite mean and variance. Pacific Journal of Mathematics. 47-55. 1973
- A class of additive arithmetic functions with asymptotically normal distribution. Mathematika: a journal of pure and applied mathematics. 144-154. 1973
- On distribution functions ($rm mod 1$): Quantitative Fourier inversion. Journal of Number Theory. 509-522. 1972
- On the distribution of $rm argL(s,,χ )$ in the half-plane $σ >1øver 2$. Acta Arithmetica. 155-169. 1972
- The Riemann zeta function and coin tossing. Journal fuer die Reine und Angewandte Mathematik: Crelle's journal. 100-109. 1972
- On the limiting distribution of additive functions (mod 1). Pacific Journal of Mathematics. 49-59. 1971
- The Least Prime K; -th-Power Residue. Journal of London Mathematical Society. 205-210. 1971
- On inequalities of large sieve type. Acta Arithmetica. 405-422. 1971
- On the distribution of the values of Dirichlet $L$-series in the half-plane $σ >1øver 2$. 222-234. 1971
- The distribution of the values of additive arithmetical functions. Acta Mathematica. 143-164. 1971
- On the Mean Value of f; (p; ). Proceedings of the London Mathematical Society. 28-96. 1970
- Some applications of a theorem of Raikov to number theory. Journal of Number Theory. 22-55. 1970
- The Turan-Kubilius inequality, and a limitation theorem for the large sieve. American Journal of Mathematics. 293-300. 1970
- The distribution of power residues and certain related results. Acta Arithmetica. 141-159. 1970
- The distribution of the quadratic class number. Lietuvos Matematikos Rinkinys. 189-197. 1970
- A Restricted Mean Value Theorem. Journal of London Mathematical Society. 447-460. 1969
- A conjecture of Erdös concerning character sums. 164-171. 1969
- On the size of $L(1,,χ )$. Journal fuer die Reine und Angewandte Mathematik: Crelle's journal. 26-36. 1969
- The distribution of primitive roots. Canadian Journal of Mathematics. 822-841. 1969
- Corrigendum: “A problem of Erdös concerning power residue sums”. Acta Arithmetica. 437-437. 1968
- On certain additive functions (II). Acta Arithmetica. 51-64. 1968
- Some matching theorems. 215-219 (1969). 1968
- Some notes on k-th power residues. Acta Arithmetica. 153-162. 1968
- The average of the least primitive root. Mathematika: a journal of pure and applied mathematics. 39-50. 1968
- On the number of circles determined byn points. Acta Mathematica Hungarica. 181-188. 1967
- A note on a recent paper of U. V. Linnik and A. I. Vinogradov. Acta Arithmetica. 103-105. 1967
- A problem of Erdös concerning power residue sums.. Acta Arithmetica. 131-149. 1967
- On certain additive functions. Acta Arithmetica. 365-384. 1967
- Mappings of finite sets. Mathematika: a journal of pure and applied mathematics. 23-25. 1966
- Some applications of Bombieri’s theorem. Mathematika: a journal of pure and applied mathematics. 196-203. 1966
- ON SEQUENCES OF INTEGERS. Quarterly Journal of Mathematics. 35-45. 1965