J. Pintz

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All published works

Action	Title	Year	Authors
+ PDF Chat	On the Density Hypothesis for the Selberg class	2024	J. Pintz
+ PDF Chat	New zero-density estimates for the Beurling $\zeta$ function	2024	Szilárd Gy. Révész J. Pintz
+	A Note on the Zeros of the Dedekind Zeta Functions	2024	J. Pintz
+ PDF	On a general density theorem	2024	J. Pintz
+ PDF	A Density Theorem for Dedekind Zeta Functions	2023	J. Pintz
+ PDF	Remark on a General Zero Density Theorem	2023	J. Pintz
+ PDF	A remark on density theorems for Riemann’s zeta-function	2023	J. Pintz
+ PDF	A new explicit formula in the additive theory of primes with applications I. The explicit formula for the Goldbach problem and the Generalized Twin Prime Problem	2023	J. Pintz
+ PDF	Density theorems for Riemann’s zeta-function near the line ${\rm Re}\,s = 1$	2023	J. Pintz
+	On a Conjecture of Descartes	2023	J. Pintz
+	A remark on density theorems for Riemann's zeta-function	2023	J. Pintz
+ PDF	On the Mean Value of Arithmetic Error Terms	2022	J. Pintz
+ PDF	On the density theorem of Halász and Turán	2022	J. Pintz
+	Rényi 100, Quantitative and qualitative (in)dependence	2021	Miklós Arató Gy. Katona György Michaletzky Tamás F. Móri J. Pintz Tamás Rudas Gábor J. Székely Gábor Tusnády
+ PDF	On Linnik’s approximation to Goldbach’s problem. II	2020	J. Pintz Imre Z. Ruzsa
+	Small gaps between almost primes, the parity problem, and some conjectures of Erdős on consecutive integers II	2020	D. A. Goldston S. W. Graham Apoorva Panidapu J. Pintz Jordan Schettler C. Y. Yıldırım
+	Large values of the remainder term of the prime number theorem	2020	J. Pintz
+	Approximations to the Goldbach and twin prime problem and gaps between consecutive primes	2019	J. Pintz
+ PDF	Some new density theorems for Dirichlet $L$-functions	2019	J. Pintz
+ PDF	On a Conjecture of Erdős, Pólya and Turán on Consecutive Gaps Between Primes	2018	J. Pintz
+	Some new density theorems for Dirichlet L-functions	2018	J. Pintz
+	A new explicit formula in the additive theory of primes with applications I. The explicit formula for the Goldbach and Generalized Twin Prime Problems	2018	J. Pintz
+	A new explicit formula in the additive theory of primes with applications II. The exceptional set in Goldbach's problem	2018	J. Pintz
+ PDF	A note on the distribution of normalized prime gaps	2018	J. Pintz
+	Irregularities in the Distribution of Prime Numbers	2018	J. Pintz Michael Th. Rassias
+	Some new density theorems for Dirichlet L-functions	2018	J. Pintz
+	Patterns of Primes in Arithmetic Progressions	2017	J. Pintz
+	Distribution of zeta zeros and the oscillation of the error term of the prime number theorem	2017	J. Pintz
+	Polignac Numbers, Conjectures of Erdős on Gaps Between Primes, Arithmetic Progressions in Primes, and the Bounded Gap Conjecture	2016	J. Pintz
+ PDF Chat	An approximation to the twin prime conjecture and the parity phenomenon	2015	J. Pintz
+	A note on the distribution of normalized prime gaps	2015	J. Pintz
+	On a conjecture of Erd\H{O}s, P\'olya and Tur\'an on consecutive gaps between primes	2015	J. Pintz
+	On the Ratio of Consecutive Gaps Between Primes	2015	J. Pintz
+	On a conjecture of ErdŐs, Pólya and Turán on consecutive gaps between primes	2015	J. Pintz
+	A note on the distribution of normalized prime gaps	2015	J. Pintz
+	Patterns of primes in arithmetic progressions	2015	J. Pintz
+ PDF	New equidistribution estimates of Zhang type	2014	Wouter Castryck Étienne Fouvry Gergely Harcos Emmanuel Kowalski Philippe Michel Paul D. Nelson E. Paldi J. Pintz Andrew V. Sutherland Terence Tao
+	On the distribution of gaps between consecutive primes	2014	J. Pintz
+	On the distribution of gaps between consecutive primes	2014	J. Pintz
+	On the ratio of consecutive gaps between primes	2014	J. Pintz
+ PDF	On the optimal weight function in the Goldston–Pintz–Yıldırım method for finding small gaps between consecutive primes	2013	Bálint Farkas J. Pintz Szilárd Gy. Révész
+	Some new results on gaps between consecutive primes	2013	J. Pintz
+	Number Theory, Analysis, and Combinatorics	2013	J. Pintz András Bíró Kálmán Győry Gergely Harcos Miklós Simonovits J. Szabados
+	Az analízis alkalmazása a számelméletben = Application of analysis in number theory	2013	J. Pintz Antal Balog András Bíró Gergely Harcos Szilárd Gy. Révész Imre Z. Ruzsa Andràs Sárközy Árpád Tóth
+	A note on bounded gaps between primes	2013	J. Pintz
+ PDF	Primes in tuples IV: Density of small gaps between consecutive primes	2013	D. A. Goldston J. Pintz C. Y. Yıldırım
+	Paul Erdős and the Difference of Primes	2013	J. Pintz
+	Polignac Numbers, Conjectures of Erdös on Gaps between Primes, Arithmetic Progressions in Primes, and the Bounded Gap Conjecture	2013	J. Pintz
+	On the optimal weight function in the Goldston-Pintz-Yildirim method for finding small gaps between consecutive primes	2013	Bálint Farkas J. Pintz Szilárd Gy. Révész
+ PDF	Corrigendum: Small gaps between products of two primes	2012	D. A. Goldston S. W. Graham J. Pintz C. Y. Yıldırım
+	On the difference of primes	2012	J. Pintz
+ PDF Chat	Are there arbitrarily long arithmetic progressions in the sequence of twin primes? II	2012	J. Pintz
+ PDF	The Bounded Gap Conjecture and bounds between consecutive Goldbach numbers	2012	J. Pintz
+	Positive proportion of small gaps between consecutive primes	2011	D. A. Goldston J. Pintz C. Y. Yıldırım
+	Positive Proportion of Small Gaps Between Consecutive Primes	2011	D. A. Goldston J. Pintz C. Y. Yildirim
+	Primes in Tuples IV: Density of small gaps between consecutive primes	2011	D. A. Goldston J. Pintz C. Y. Yıldırım
+ PDF Chat	Small Gaps Between Almost Primes, the Parity Problem, and Some Conjectures of Erdos on Consecutive Integers	2010	D. A. Goldston S. W. Graham J. Pintz C. Y. Yıldırım
+	Patterns of primes	2010	J. Pintz
+	An approximation to the twin prime conjecture and the parity phenomenon	2010	J. Pintz
+	Are there arbitrarily long arithmetic progressions in the sequence of twin primes? II	2010	J. Pintz
+	On the singular series in the prime k-tuple conjecture	2010	J. Pintz
+	On small gaps between primes and almost prime powers	2010	J. Pintz
+ PDF	Primes in tuples II	2010	D. A. Goldston J. Pintz C. Y. Yıldırım
+ PDF Chat	Are There Arbitrarily Long Arithmetic Progressions In The Sequence of Twin Primes?	2010	J. Pintz
+	Patterns of primes	2010	J. Pintz
+	Are there arbitrarily long arithmetic progressions in the sequence of twin primes?	2010	J. Pintz
+	Are there arbitrarily long arithmetic progressions in the sequence of twin primes? II	2010	J. Pintz
+	An approximation to the twin prime conjecture and the parity phenomenon	2010	J. Pintz
+ PDF	Primes in tuples I	2009	D. A. Goldston J. Pintz C. Y. Yıldırım
+ PDF	Small gaps between primes or almost primes	2009	D. A. Goldston S. W. Graham J. Pintz C. Y. Yıldırım
+ PDF	Landau’s problems on primes	2009	J. Pintz
+ PDF	Oscillation of Mertens’ product formula	2009	Harold G. Diamond J. Pintz
+ PDF Chat	Small gaps between products of two primes	2008	D. A. Goldston S. W. Graham J. Pintz C. Y. Yıldırım
+ PDF Chat	A smoothed GPY sieve	2008	Yoichi Motohashi J. Pintz
+	Small gaps between almost primes, the parity problem, and some conjectures of Erdos on consecutive integers	2008	D. A. Goldston S. W. Graham J. Pintz C. Y. Yıldırım
+	Primes in Tuples II	2007	D. A. Goldston J. Pintz C. Y. Yıldırım
+ PDF	Cramér vs. Cramér. On Cramér's probabilistic model for primes	2007	J. Pintz
+ PDF	On the sum of two primes and <i>k</i> powers of two	2007	Alessandro Languasco J. Pintz Alessandro Zaccagnini
+	Primes in Tuples II	2007	D. A. Goldston J. Pintz C. Y. Yıldırım
+	Additív és multiplikatív számelmélet = Additive and multiplicative number theory	2007	Imre Z. Ruzsa Antal Balog Norbert Hegyvári J. Pintz Csaba Sándor
+	A note on Romanov's constant	2006	J. Pintz
+ PDF	Small gaps between primes exist	2006	D. A. Goldston Yoichi Motohashi J. Pintz C. Y. Yıldırım
+ PDF	Primes in tuples III: On the difference {$p_{n + \nu}- p_n$}	2006	D. A. Goldston J. Pintz C. Y. Yildirim
+	The Path to Recent Progress on Small Gaps Between Primes	2005	D. A. Goldston J. Pintz C. Y. Yıldırım
+	Small gaps between primes or almost primes	2005	D. A. Goldston S. W. Graham J. Pintz C.Y. Yilidirm
+	Small Gaps between Primes Exist	2005	D. A. Goldston Yoichi Motohashi J. Pintz C. Y. Yıldırım
+	Primes in Tuples I	2005	D. A. Goldston J. Pintz C. Y. Yıldırım
+ PDF	On Linnik's approximation to Goldbach's problem, I	2003	J. Pintz Imre Z. Ruzsa
+ PDF	The Difference Between Consecutive Primes, II	2001	Roger C. Baker G. Harman J. Pintz
+	On the running time of the Adleman--Pomerance--Rumely primality test	2000	J. Pelikán J. Pintz Endre Szemerédi
+	Very Large Gaps between Consecutive Primes	1997	J. Pintz
+	Hardy-Littlewood Numbers in Short Intervals	1995	Alberto Perelli J. Pintz
+	Difference sets without κ-th powers	1994	Antal Balog J. Pelikán J. Pintz Endre Szemerédi
+	A note on the exceptional set for Goldbach's problem in short intervals	1993	Jerzy Kaczorowski Alberto Perelli J. Pintz
+	On the Exceptional Set for Goldbach's Problem in Short Intervals	1993	Alberto Perelli J. Pintz
+	Squares in arithmetic progressions	1992	Enrico Bombieri Andrew Granville J. Pintz
+	On the exceptional set for the $2k$-twin primes problem	1992	Alberto Perelli J. Pintz
+	On an assertion of Riemann concerning the distribution of prime numbers	1991	J. Pintz
+	Construction of a Thin Set with small Fourier Coefficients	1990	Miklós Ajtai Henryk Iwaniec János Komlós J. Pintz Endre Szemerédi
+	The exceptional set for the sum of a prime and a square	1989	R. Brünner Alberto Perelli J. Pintz
+ PDF	Infinite Sets of Primes with Fast Primality Tests and Quick Generation of Large Primes	1989	J. Pintz William Steiger Endre Szemerédi
+	The distribution ofr-free numbers	1989	S. W. Graham J. Pintz
+ PDF	Infinite sets of primes with fast primality tests and quick generation of large primes	1989	J. Pintz William Steiger Endre Szemerédi
+	On Sets of Natural Numbers Whose Difference Set Contains No Squares	1988	J. Pintz William Steiger Endre Szemerédi
+ PDF	Elementary methods in the theory of L-functions. IX. Density theorems	1988	J. Pintz
+	Two infinite sets of primes with fast primality tests	1988	J. Pintz William Steiger Endre Szemerédi
+	Oscillatory properties of arithmetical functions. II	1987	Jerzy Kaczorowski J. Pintz
+	Some consequences of the general Riemann hypothesis in the comparative theory of primes	1986	J. Pintz Saverio Salerno
+	Oscillatory properties of arithmetical functions. I	1986	Jerzy Kaczorowski J. Pintz
+	Partitions of planar sets into small triangles	1985	Andrew Odlyzko J. Pintz Kenneth B. Stolarsky
+	Accumulation theorems for primes in arithmetic progressions	1985	J. Pintz Saverio Salerno
+	Bemerkungen zu Einer Arbeit von Ingham über die Verteilung der Primzahlen	1985	Wolfgang Dette J. Meier J. Pintz
+	Bombieri's theorem in short intervals. II	1985	Alberto Perelli J. Pintz Saverio Salerno
+ PDF	On the mean value of the remainder term of the prime number formula	1985	J. Pintz
+ PDF	The distribution of square-free numbers	1985	Roger C. Baker J. Pintz
+	Irregularities in the distribution of primes in arithmetic progressions II	1984	J. Pintz Saverio Salerno
+	A note on the distribution of primes in short intervals	1984	J. Pintz
+	Primes in short intervals	1984	Henryk Iwaniec J. Pintz
+ PDF	Oscillatory properties of $M(x) = \sum_{n≤x} μ(n)$, III	1984	J. Pintz
+	On the comparative theory of primes	1984	J. Pintz Saverio Salerno
+	On the remainder term of the prime number formula and the zeros of Riemann’s zeta-function	1984	J. Pintz
+	On the Distribution of Square-Free Numbers	1983	J. Pintz
+	Numbers with a Large Prime Factor IV	1983	Antal Balog G. Harman J. Pintz
+	Oscillatory properties of the remainder term of the prime number formula	1983	J. Pintz
+	NUMBERS WITH A LARGE PRIME FACTOR III	1983	Antal Balog G. Harman J. Pintz
+	Extremal uncrowded hypergraphs	1982	Miklós Ajtai János Komlós J. Pintz Joel Spencer Endre Szemerédi
+	A Lower Bound for Heilbronn'S Problem	1982	János Komlós J. Pintz Endre Szemerédi
+ PDF	Oscillatory properties of $M(x) = \sum_{n≤x} μ(n)$, I	1982	J. Pintz
+	On Heilbronn's Triangle Problem	1981	János Komlós J. Pintz Endre Szemerédi
+	On Paul Turán's work in Number Theory	1981	J. Pintz
+	On Legendre's Prime Number Formula	1980	J. Pintz
+	Quadratic residues and the distribution of prime numbers	1980	H. Bentz J. Pintz
+ PDF	On the remainder term of the prime number formula II; On a theorem of Ingham	1980	J. Pintz
+ PDF	On the remainder term of the prime number formula I. On a problem of Littlewood	1980	J. Pintz
+ PDF	Elementary methods in the theory of L-functions, VII. Upperbound for L(1,χ)	1977	J. Pintz
+ PDF	Elementary methods in the theory of L-functions, VI. On the least prime quadratic residue (mod p)	1977	J. Pintz
+ PDF	Corrigendum to the paper "Elementary methods in the theory of L-functions, VII. Upper bound for L(1,χ)"	1977	J. Pintz
+ PDF	Elementary methods in the theory of L-functions, V. The theorems of Landau and Page	1977	J. Pintz
+ PDF	Elementary methods in the theory of L-functions, VIII. Real zeros of real L-functions	1977	J. Pintz
+	Bemerkungen zur Arbeit von S. Knapowski und P. Turán	1976	J. Pintz
+ PDF	Elementary methods in the theory of L-functions, I. Hecke's theorem	1976	J. Pintz
+ PDF	Elementary methods in the theory of L-functions, II. On the greatest real zero of a real L-function	1976	J. Pintz
+ PDF	Elementary methods in the theory of L-functions, IV. The Heilbronn phenomenon	1976	J. Pintz
+ PDF	Elementary methods in the theory of L-functions, III. The Deuring phenomenon	1976	J. Pintz
+ PDF	On Siegel's theorem	1974	J. Pintz

Common Coauthors

Coauthor	Papers Together
D. A. Goldston	20
C. Y. Yıldırım	17
Endre Szemerédi	10
S. W. Graham	8
Alberto Perelli	6
Antal Balog	5
Saverio Salerno	5
Imre Z. Ruzsa	4
William Steiger	4
Szilárd Gy. Révész	4
János Komlós	4
Gergely Harcos	3
Jerzy Kaczorowski	3
Yoichi Motohashi	3
G. Harman	3
Miklós Ajtai	2
András Bíró	2
Henryk Iwaniec	2
Bálint Farkas	2
J. Pelikán	2
C. Y. Yildirim	2
Roger C. Baker	2
Enrico Bombieri	1
Gábor J. Székely	1
J. Szabados	1
György Michaletzky	1
Terence Tao	1
Emmanuel Kowalski	1
Apoorva Panidapu	1
Csaba Sándor	1
Alessandro Languasco	1
Gy. Katona	1
Harold G. Diamond	1
H. Bentz	1
Kenneth B. Stolarsky	1
Kálmán Győry	1
Miklós Simonovits	1
J. Meier	1
Étienne Fouvry	1
J. Spencer	1
Tamás F. Móri	1
Miklós Arató	1
Andrew V. Sutherland	1
Alessandro Zaccagnini	1
Árpád Tóth	1
C.Y. Yilidirm	1
Paul D. Nelson	1
Xiao-Feng Xie	1
Andrew Granville	1
Tamás Rudas	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+	On the distribution of primes in short intervals	1976	P. X. Gallagher	18
+ PDF	Topics in Multiplicative Number Theory	1971	Hugh L. Montgomery	16
+	Sieves in Number Theory	2001	G. N. Greaves	16
+ PDF	Some problems of ‘Partitio numerorum’; III: On the expression of a number as a sum of primes	1923	G. H. Hardy J. E. Littlewood	15
+ PDF	Primes in tuples I	2009	D. A. Goldston J. Pintz C. Y. Yıldırım	14
+	Higher correlations of divisor sums related to primes III: small gaps between primes	2007	D. A. Goldston C. Y. Yıldırım	13
+	Multiplicative Number Theory	1980	H. Davenport	12
+ PDF	Small differences between prime numbers	1966	Enrico Bombieri H. Davenport	11
+ PDF	Small gaps between primes exist	2006	D. A. Goldston Yoichi Motohashi J. Pintz C. Y. Yıldırım	11
+ PDF	The difference of consecutive primes	1940	P. Erdős	10
+	Almost‐prime <i>k</i> ‐tuples	1997	D. R. Heath‐Brown	10
+ PDF	Small gaps between primes or almost primes	2009	D. A. Goldston S. W. Graham J. Pintz C. Y. Yıldırım	9
+	Topics in Multiplicative Number Theory	1971	Hugh L. Montgomery	9
+ PDF	Primes in tuples II	2010	D. A. Goldston J. Pintz C. Y. Yıldırım	9
+	The Theory of the Riemann Zeta-Function	1987	E. C. Titchmarsh D. R. Heath‐Brown	9
+	Small differences between consecutive primes II	1977	M. N. Huxley	8
+	Higher correlations of divisor sums related to primes III: k-correlations	2002	D. A. Goldston C. Y. Yıldırım	8
+ PDF	Integers represented as a sum of primes and powers of two	2002	D. R. Heath‐Brown J.-C. Puchta	8
+	On the distribution of roots of Riemann zeta and allied functions, I	1969	Gábor Halász P. Túrán	8
+ PDF	An application of the Fouvry-Iwaniec theorem	1984	M. N. Huxley	8
+ PDF	Sur la distribution des nombres premiers	1901	Helge Koch	8
+	The difference between consecutive prime numbers. II	1940	R. A. Rankin	7
+	The Distribution of Values of the Divisor Function <i>d(n)</i>	1952	Paul Erdös L. Mirsky	7
+ PDF Chat	Small gaps between products of two primes	2008	D. A. Goldston S. W. Graham J. Pintz C. Y. Yıldırım	7
+ PDF	Small gaps between primes	2014	James Maynard	7
+ PDF	On the differences of primes in arithmetical progressions	1969	M. N. Huxley	7
+	On the remainder-term of the prime-number formula, I	1950	P. Túrán	7
+	The divisor function at consecutive integers	1984	D. R. Heath‐Brown	7
+	ON THE REPRESENTATION OF A LARGER EVEN INTEGER AS THE SUM OF A PRIME AND THE PRODUCT OF AT MOST TWO PRIMES	1973	Chen Jing-Run	7
+ PDF	On Linnik's constant.	1977	Matti Jutila	7
+	Very Large Gaps between Consecutive Primes	1997	J. Pintz	7
+ PDF	The Distribution of Prime Numbers	1933	A. E. Ingham	6
+ PDF	Small gaps between prime numbers: The work of Goldston-Pintz-Yildirim	2006	K. Soundararajan	6
+ PDF	An induction principle for the generalization of Bombieri's prime number theorem	1976	Yoichi Motohashi	6
+	The number of powers of 2 in a representation of large even integers II	1998	Jianya Liu Mingchit Liu Tianze Wang	6
+ PDF	The primes contain arbitrarily long arithmetic progressions	2008	Benjamin Green Terence Tao	6
+	Some Problems of “Partitio Numerorum”(V): A Further Contribution to the Study of Goldbach's Problem	1924	G. H. Hardy J. E. Littlewood	6
+	Unexpected Irregularities in the Distribution of Prime Numbers	1995	Andrew Granville	6
+	Some Problems On The Distribution Of Prime Numbers	2011	P. Erdős	6
+ PDF	The exceptional set of Goldbach's problem	1975	H. Montgomery R. C. Vaughan	6
+	On Goldbach's Problem : Proof that Almost all Even Positive Integers are Sums of Two Primes	1938	T. Estermann	6
+ PDF	On Linnik's approximation to Goldbach's problem, I	2003	J. Pintz Imre Z. Ruzsa	6
+	On Linnik’s almost Goldbach theorem	1999	Tianze Wang	6
+	On the Exceptional Set for Goldbach's Problem in Short Intervals	1993	Alberto Perelli J. Pintz	6
+ PDF	On the order of magnitude of the difference between consecutive prime numbers	1936	Harald Cramér	5
+ PDF	Bounded gaps between primes	2014	Zhang Yitang	5
+ PDF	On the almost Goldbach problem of Linnik	1999	Jianya Liu Ming-Chit Liu Tianze Wang	5
+ PDF	The Difference Between Consecutive Primes, II	2001	Roger C. Baker G. Harman J. Pintz	5
+ PDF	Variants of the Selberg sieve, and bounded intervals containing many primes	2014	DHJ Polymath	5
+	On the difference between consecutive primes	1971	M. N. Huxley	5