Adolf Hildebrand

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All published works

Action	Title	Year	Authors
+ PDF Chat	On cyclic and nontransitive probabilities	2021	Pavle Vuksanovic Adolf Hildebrand
+	The Number of Optimal Strategies in the Penney-Ante Game	2021	Reed B. Phillips Adolf Hildebrand
+ PDF Chat	The Surprising Accuracy of Benford’s Law in Mathematics	2020	Zhaodong Cai Matthew D. Faust Adolf Hildebrand Junxian Li Yuan Zhang
+ PDF Chat	Leading Digits of Mersenne Numbers	2019	Zhaodong Cai Matthew D. Faust Adolf Hildebrand Junxian Li Yuan Zhang
+ PDF Chat	A local Benford Law for a class of arithmetic sequences	2018	Zhaodong Cai Adolf Hildebrand Junxian Li
+	Almost Beatty Partitions	2018	Adolf Hildebrand Junxian Li Xiaomin Li Yun Xie
+	Complexity of Leading Digit Sequences	2018	Xinwei He Adolf Hildebrand Yuchen Li Yunyi Zhang
+	Unexpected Regularities in the Behavior of Some Number-Theoretic Power Series	2018	Adolf Hildebrand
+	Almost Beatty Partitions	2018	Adolf Hildebrand Xiaomin Li Junxian Li Yun Xie
+	Complexity of Leading Digit Sequences	2018	Xinwei He Adolf Hildebrand Yuchen Li Yunyi Zhang
+	Leading Digits of Mersenne Numbers	2017	Zhaodong Cai Matthew D. Faust Adolf Hildebrand Junxian Li Yuan Zhang
+	Analytic Number Theory: Proceedings of a Conference In Honor of Heini Halberstam Volume 1	2011	Bruce C. Berndt Harold G. Diamond Adolf Hildebrand
+ PDF	Longest Increasing Subsequences in Pattern-Restricted Permutations	2003	Emeric Deutsch Adolf Hildebrand Herbert S. Wilf
+	Longest increasing subsequences in pattern-restricted permutations	2003	Emeric Deutsch Adolf Hildebrand Herbert S. Wilf
+	Longest increasing subsequences in pattern-restricted permutations	2003	Emeric Deutsch Adolf Hildebrand Herbert S. Wilf
+	Analytic Number Theory	1997	Yoichi Motohashi Yoichi Motohashi Enrico Bombieri Enrico Bombieri Enrico Bombieri Jörg Brüdern Jan‐Hendrik Evertse John Friedlander Andrew Granville Adolf Hildebrand
+	EXTREMAL PROBLEMS IN SIEVE THEORY(Analytic Number Theory)	1996	Adolf Hildebrand
+	Analytic Number Theory	1996	Bruce C. Berndt Harold G. Diamond Adolf Hildebrand
+	Analytic number theory : proceedings of a conference in honor of Heini Halberstam	1996	H. Halberstam Bruce C. Berndt Harold G. Diamond Adolf Hildebrand
+	On some tauberian theorems related to the prime number theorem	1994	Adolf Hildebrand Gérald Tenenbaum
+	On a class of differential-difference equations arising in number theory	1993	Adolf Hildebrand Gérald Tenenbaum
+ PDF	Integers without large prime factors	1993	Adolf Hildebrand Gérald Tenenbaum
+ PDF	A Note on the Convergence of Sums of Independent Random Variables	1992	Adolf Hildebrand
+ PDF	Oscillation theorems for primes in arithmetic progressions and for sifting functions	1991	John Friedlander Andrew Granville Adolf Hildebrand Helmut Maier
+ PDF	Oscillation Theorems for Primes in Arithmetic Progressions and for Sifting Functions	1991	John Friedlander Andrew Granville Adolf Hildebrand Helmut Maier
+	Characterizations of the Logarithm as an Additive Arithmetic Function	1990	Adolf Hildebrand
+	The Asymptotic Behavior of the Solutions of a Class of Differential-Difference Equations	1990	Adolf Hildebrand
+ PDF	Multiplicative Functions on Arithmetic Progressions	1990	Adolf Hildebrand
+ PDF	Multiplicative functions on arithmetic progressions	1990	Adolf Hildebrand
+	Additive and Multiplicative Functions on Shifted Primes	1989	Adolf Hildebrand
+	On Integer Sets Containing Strings of Consecutive Integers	1989	Adolf Hildebrand
+	Irregularities in the distribution of primes in short intervals.	1989	Helmut Maier Adolf Hildebrand
+	Some new applications of the large sieve	1989	Adolf Hildebrand
+	An Erdos-Wintner Theorem for Differences of Additive Functions	1988	Adolf Hildebrand
+ PDF	On the Constant in the Pólya-Vinogradov Inequality	1988	Adolf Hildebrand
+ PDF	Gaps Between Prime Numbers	1988	Adolf Hildebrand Helmut Maier
+	Large values of character sums	1988	Adolf Hildebrand
+	Still another proof of Parseval's equation for almost-even arithmetical functions	1988	Adolf Hildebrand Wolfgang Schwarz Jürgen Spilker
+	On the number of prime factors of an integer	1988	Adolf Hildebrand Gérald Tenenbaum
+	Multiplicative functions at consecutive integers. II	1988	Adolf Hildebrand
+ PDF	An Erdős-Wintner theorem for differences of additive functions	1988	Adolf Hildebrand
+ PDF	Gaps between prime numbers	1988	Adolf Hildebrand Helmut Maier
+ PDF	The divisor function at consecutive integers	1987	Adolf Hildebrand
+ PDF	Multiplicative Functions in Short Intervals	1987	Adolf Hildebrand
+ PDF	On the limit distribution of discrete random variables	1987	Adolf Hildebrand
+	Additive Functions at Consecutive Integers	1987	Adolf Hildebrand
+ PDF	The asymptotic behavior of a family of sequences	1987	Paul Erdös Adolf Hildebrand Andrew Odlyzko Paul Pudaite Bruce Reznick
+ PDF	Quantitative mean value theorems for nonnegative multiplicative functions II	1987	Adolf Hildebrand
+ PDF	On the least pair of consecutive quadratic nonresidues.	1987	Adolf Hildebrand
+	On the number of prime factors of integers without large prime divisors	1987	Adolf Hildebrand
+	On the Local Behavior of Ψ(x, y)	1986	Adolf Hildebrand
+	Multiplicative functions at consecutive integers	1986	Adolf Hildebrand
+ PDF	On Integers Free of Large Prime Factors	1986	Adolf Hildebrand Gérald Tenenbaum
+	On consecutivek'th power residues	1986	Adolf Hildebrand
+	The prime number theorem via the large sieve	1986	Adolf Hildebrand
+	On the number of positive integers ≦ x and free of prime factors > y	1986	Adolf Hildebrand
+	On Wirsing's mean value Theorem for Multiplicative Functions	1986	Adolf Hildebrand
+ PDF	On the local behavior of Ψ(𝑥,𝑦)	1986	Adolf Hildebrand
+ PDF	On integers free of large prime factors	1986	Adolf Hildebrand Gérald Tenenbaum
+	ON THE LOCAL BEHAVIOR OF 9(x,y)	1986	Adolf Hildebrand
+ PDF	On a Conjecture of Balog	1985	Adolf Hildebrand
+	INTEGERS FREE OF LARGE PRIME DIVISORS IN SHORT INTERVALS	1985	Adolf Hildebrand
+ PDF	On a conjecture of Balog	1985	Adolf Hildebrand
+	Integers free of large prime factors and the Riemann hypothesis	1984	Adolf Hildebrand
+	Quantitative Mean Value Theorems for Non-Negative Multiplicative Functions I	1984	Adolf Hildebrand
+	On a problem of Erdös and Alladi	1984	Adolf Hildebrand
+ PDF	Über die punktweise Konvergenz von Ramanujan-Entwicklungen zahlentheoretischer Funktionen	1984	Adolf Hildebrand
+	An asymptotic formula for the variance of an additive function	1983	Adolf Hildebrand
+	A characterization of the logarithm as an additive arithmetic function	1982	Adolf Hildebrand

Common Coauthors

Coauthor	Papers Together
Gérald Tenenbaum	6
Junxian Li	6
Helmut Maier	5
Zhaodong Cai	4
Emeric Deutsch	3
Andrew Granville	3
Matthew D. Faust	3
Harold G. Diamond	3
Bruce C. Berndt	3
John Friedlander	3
Herbert S. Wilf	3
Xinwei He	2
Xiaomin Li	2
Yun Xie	2
Yunyi Zhang	2
Yuchen Li	2
Yuan Zhang	2
M. N. Huxley	1
Wolfgang Schwarz	1
Yuan Zhang	1
Kai-Yam Lam	1
Makoto Nagata	1
Peter Sarnak	1
Jürgen Spilker	1
Ming-Chit Liu	1
Aleksandar Ivić	1
Carlo Viola	1
Jan‐Hendrik Evertse	1
Noriko Hirata-Kohno	1
T. N. Shorey	1
Yoichi Motohashi	1
H. Halberstam	1
Pavle Vuksanovic	1
M. Ram Murty	1
Andrew Odlyzko	1
V. Kumar Murty	1
Enrico Bombieri	1
Jörg Brüdern	1
Paul Pudaite	1
Bruce Reznick	1
Trevor D. Wooley	1
Paul Erdös	1
Reed B. Phillips	1
Matti Jutila	1
Hiroshi Mikawa	1
Eiji Yoshida	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+	On The Number of Positive Integers ≤ x and Free of Prime Factors > y	1951	N.G. de Bruijn	9
+	Probabilistic Number Theory I	1979	P. D. T. A. Elliott	7
+	Numbers with small prime factors, and the least 𝑘th power non-residue	1971	Karl K. Norton	6
+	Arithmetic Functions and Integer Products	1985	P. D. T. A. Elliott	6
+	On the frequency of numbers containing prime factors of a certain relative magnitude	1930	Kern W. Dickman	6
+	On the difference between consecutive primes	1971	M. N. Huxley	5
+	The divisor function at consecutive integers	1984	D. R. Heath‐Brown	5
+	Uniform distribution of sequences	1974	L. Kuipers Harald Niederreiter	5
+	Das asymptotische Verhalten von Summen über multiplikative Funktionen. II	1967	Eduard Wirsing	5
+	The First Digit Problem	1976	Ralph A. Raimi	4
+ PDF	The Significant-Digit Phenomenon	1995	Theodore P. Hill	4
+ PDF	The Distribution of Leading Digits and Uniform Distribution Mod 1	1977	Persi Diaconis	4
+	A property of the counting function of integers with no large prime factors	1986	Douglas Hensley	4
+	On the number of positive integers ≦ x and free of prime factors > y	1986	Adolf Hildebrand	4
+	The Difference between Consecutive Prime Numbers	1938	R. A. Rankin	4
+	The Turán-Kubilius inequality for integers without large prime factors.	1982	Krishnaswami Alladi	4
+	On the Distribution Function of Additive Functions	1946	P. Erdős	3
+	Multiplicative Number Theory	1980	H. Davenport	3
+	On numbers with small prime divisors	1969	Veikko Ennola	3
+ PDF	Primes in arithmetic progressions to large moduli	1986	Enrico Bombieri John Friedlander Henryk Iwaniec	3
+	The asymptotic behaviour of a function occuring in the theory of primes	1951	de Ng Dick Bruijn	3
+	The number of positive integers ≤x and free of prime factors >y	1985	Douglas Hensley	3
+	Multiplicative functions at consecutive integers	1986	Adolf Hildebrand	3
+ PDF	On Integers Free of Large Prime Factors	1986	Adolf Hildebrand Gérald Tenenbaum	3
+	On a problem of Oppenheim concerning “factorisatio numerorum”	1983	E. Rodney Canfield Paul Erdös Carl Pomerance	3
+	Benford's Law	2012	Mark J. Nigrini	3
+ PDF	Primes in short intervals.	1985	Helmut Maier	3
+ PDF	On integers free of large prime factors	1986	Adolf Hildebrand Gérald Tenenbaum	3
+	On a problem of P. Erdös	1970	И. Катаи	3
+ PDF	Sur les fonctions arithmétiques multiplicatives	1961	Hubert Delange	3
+ PDF	Multiplicative Functions in Short Intervals	1987	Adolf Hildebrand	2
+	Note on the Frequency of Use of the Different Digits in Natural Numbers	1881	Simon Newcomb	2
+	Limitations to the Equi-Distribution of Primes I	1989	John Friedlander Andrew Granville	2
+ PDF	Halving an estimate obtained from Selberg's upper bound method	1974	R. R. Hall	2
+	Fast growing sequences of numbers and the first digit phenomenon	2014	Bruno Massé Dominique Schneider	2
+	The average height of binary trees and other simple trees	1982	Philippe Flajolet Andrew Odlyzko	2
+ PDF	Some problems of analytic number theory	1976	K. Ramachandra	2
+ PDF	On the height of trees	1967	A. Rényi G Szekeres	2
+ PDF	An Area-to-Inv Bijection Between Dyck Paths and 312-avoiding Permutations	2001	Jason Bandlow Kendra Killpatrick	2
+ PDF	A basic theory of Benford’s Law	2011	Arno Berger Theodore P. Hill	2
+ PDF	Benford’s law for coefficients of modular forms and partition functions	2010	Theresa C. Anderson Larry Rolen Ruth Stoehr	2
+	The Difference between Consecutive Prime Numbers, III	1947	R. A. Rankin	2
+	Le grand crible dans la théorie analytique des nombres	1974	Enrico Bombieri	2
+	The William Lowell Putnam Mathematical Competition	1986	Leonard F. Klosinski Gerald L. Alexanderson Loren C. Larson	2
+	On a result of R. R. Hall	1979	H. Halberstam H.-E. Richert	2
+	Permutations with Restricted Patterns and Dyck Paths	2001	Christian Krattenthaler	2
+	Multiplicative functions at consecutive integers. II	1988	Adolf Hildebrand	2
+ PDF	Probabilistic Methods in the Theory of Numbers	1964	Jonas Kubilius	2
+ PDF	On the distribution of the length of the longest increasing subsequence of random permutations	1999	Jinho Baik Percy Deift Kurt Johansson	2
+	On Wirsing's mean value Theorem for Multiplicative Functions	1986	Adolf Hildebrand	2