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Leo Murata
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All published works
Action
Title
Year
Authors
+
On a density property of the residual order of $a \pmod{pq}$
2021
Leo Murata
+
PDF
Chat
Relations among arithmetical functions, automatic sequences, and sum of digits functions induced by certain Gray codes
2012
Yuichi Kamiya
Leo Murata
+
Probability and Number Theory — Kanazawa 2005
2007
Shigeki Akiyama
Kohji Matsumoto
Leo Murata
Hiroshi Sugita
+
PDF
Chat
On a distribution property of the residual order of a (mod p)- III
2006
Koji Chinen
Leo Murata
+
On a Distribution Property of the Residual Order of a (mod p)— IV
2006
Koji Chinen
Leo Murata
+
PDF
Chat
On a distribution property of the residual order of $a \pmod {p}$, (2)
2004
Koji Chinen
Leo Murata
+
On a distribution property of the residual order of $a$(mod $p$) (IV) (Analytic Number Theory and Surrounding Areas)
2004
Koji Chinen
Leo Murata
+
PDF
Chat
On the largest prime factor of a Mersenne number
2004
Leo Murata
Carl Pomerance
+
PDF
Chat
On a distribution property of the residual order of a(modp)—II
2003
Leo Murata
Koji Chinen
+
PDF
Chat
On a distribution property of the residual order of a(modp)
2003
Koji Chinen
Leo Murata
+
On a distribution property of the residual order of $a$(mod $p$) (III) (Diophantine Problems and Analytic Number Theory)
2003
Leo Murata
Koji Chinen
+
PDF
Chat
On a distribution property of the residual order of $a \pmod {p}$
2003
Koji Chinen
Leo Murata
+
On a distribution property of the residual order of a (mod p)
2002
Koji Chinen
Leo Murata
+
On a distribution property of the residual order of a (mod p), II
2002
Leo Murata
Koji Chinen
+
A Note on a Certain Average of L(1/2 +it, χ)
2002
Leo Murata
+
On the Average of the Least Primitive Root Modulo <i>p</i>
1997
P. D. T. A. Elliott
Leo Murata
+
On the Average of the Least Primitive Root Modulo $p$(Analytic Number Theory)
1996
Leo Murata
+
A problem analogous to Artin's conjecture for primitive roots and its applications
1991
Leo Murata
+
On the magnitude of the least prime primitive root
1991
Leo Murata
+
PDF
Chat
The distribution of primes satisfying the condition $a^{p-1} ≡ 1 (mod p^{2})$
1991
Leo Murata
+
On a characterization of some arithmetical multiplicative functions
1984
Jean-Loup Mauclaire
Leo Murata
+
On Average of Some Arithmetical q-Additive Functions(Distribution of values of arithmetic functions)
1984
Jean-Loup Mauclaire
Leo Murata
+
PDF
Chat
On $q$-additive functions, I
1983
Jean-Loup Mauclaire
Leo Murata
+
PDF
Chat
On $q$-additive functions, II
1983
J.-L. Mauclaire
Leo Murata
+
PDF
Chat
On an Average of $\omega(n)$ with Respect to Some Sets of Composite Integers
1981
Leo Murata
+
PDF
Chat
An average type result on the number of primes satisfying generalized Wieferich condition
1981
Leo Murata
+
PDF
Chat
On the regularity of arithmetic multiplicative functions, III
1981
Jean-Loup Mauclaire
Leo Murata
+
PDF
Chat
On the regularity of arithmetic multiplicative functions, II
1981
J.-L. Mauclaire
Leo Murata
+
On some fundamental relations among certain asymptotic densities
1981
Leo Murata
+
PDF
Chat
On the regularity of arithmetic multiplicative functions, I
1980
Jean-Loup Mauclaire
Leo Murata
+
PDF
Chat
On certain densities of sets of primes
1980
Leo Murata
+
PDF
Chat
On certain averages of $\omega \left( n \right)$
1980
Leo Murata
Common Coauthors
Coauthor
Papers Together
Koji Chinen
10
Jean-Loup Mauclaire
5
J.-L. Mauclaire
2
Kohji Matsumoto
1
Yuichi Kamiya
1
Shigeki Akiyama
1
Hiroshi Sugita
1
P. D. T. A. Elliott
1
Carl Pomerance
1
Commonly Cited References
Action
Title
Year
Authors
# of times referenced
+
On Artin's conjecture.
1967
C. Hooley
7
+
�ber die Dichte der Primzahlenp, f�r die eine vorgegebene ganzrationale Zahla?0 von gerader bzw. ungerader Ordnung mod.p ist
1966
Helmut Hasse
6
+
A conjecture of Krishnamurthy on decimal periods and some allied problems
1981
R. W. K. Odoni
6
+
�ber die Dichte der Primzahlenp, f�r die eine vorgegebene ganzrationale Zahl $$a = | 0$$ von durch eine vorgegebene Primzahl $$l = | 2$$ teilbarer bzw. unteilbarer Ordnung mod.p ist
1965
Helmut Hasse
6
+
A problem analogous to Artin's conjecture for primitive roots and its applications
1991
Leo Murata
5
+
PDF
Chat
On a distribution property of the residual order of a(modp)
2003
Koji Chinen
Leo Murata
5
+
PDF
Chat
On Artin's conjecture and Euclid's algorithm in global fields
1977
H. W. Lenstra
4
+
PDF
Chat
On a distribution property of the residual order of a(modp)—II
2003
Leo Murata
Koji Chinen
4
+
On Artin's conjecture.
1967
C. Hooley
3
+
PDF
Chat
On the regularity of arithmetic multiplicative functions, I
1980
Jean-Loup Mauclaire
Leo Murata
3
+
PDF
Chat
A generalisation of Artin's conjecture for primitive roots
1976
Keith R. Matthews
2
+
On a problem of P. Erdös
1970
И. Катаи
2
+
ARTIN'S CONJECTURE FOR PRIMITIVE ROOTS
1986
D. R. Heath‐Brown
2
+
On the Distribution of Additive Number-Theoretic Functions (III)
1956
H. Halberstam
2
+
PDF
Chat
On a distribution property of the residual order of $a \pmod {p}$
2003
Koji Chinen
Leo Murata
2
+
On the Distribution Function of Additive Functions
1946
P. Erdős
2
+
PDF
Chat
Uniform distribution of primes having a prescribed primitive root
1999
Pieter Moree
2
+
Note on the Congruence a p-1 ≡1 (mod p 2 )
1964
Hans Riesel
1
+
The Least Quadratic Non Residue
1952
N. C. Ankeny
1
+
On Artin's Conjecture
1972
Richard Warlimont
1
+
PDF
Chat
Lectures on Fermat's Last Theorem
1981
Lawrence C. Washington
Paulo Ribenboim
1
+
Mean values of character sums
1986
D. A. Burgess
1
+
PDF
Chat
An average type result on the number of primes satisfying generalized Wieferich condition
1981
Leo Murata
1
+
PDF
Chat
On the first case of Fermat’s last theorem
1941
D. H. Lehmer
Emma Lehmer
1
+
On the magnitude of the least prime primitive root
1991
Leo Murata
1
+
PDF
Chat
On $q$-additive functions, I
1983
Jean-Loup Mauclaire
Leo Murata
1
+
A Note on Gray Code and Odd-Even Merge
1980
Philippe Flajolet
Lyle Ramshaw
1
+
Mellin transforms and asymptotics: digital sums
1994
Philippe Flajolet
Peter J. Grabner
Peter Kirschenhofer
Helmut Prodinger
Robert F. Tichy
1
+
Hybrid bounds for DirichletL-functions
1978
D. R. Heath‐Brown
1
+
On The Number of Positive Integers ≤ x and Free of Prime Factors > y
1951
N.G. de Bruijn
1
+
On the large sieve
1965
Enrico Bombieri
1
+
On the number of primes <i>p</i> for which <i>p+a</i> has a large prime factor
1969
Morris Goldfeld
1
+
Mean values of character sums II
1987
D. A. Burgess
1
+
A note on character sums
1979
Roger Cook
1
+
PDF
Chat
The Cubic Moment of Central Values of Automorphic L-Functions
2000
J. Brian Conrey
Henryk Iwaniec
1
+
PDF
Chat
Quelques applications du théorème de densité de Chebotarev
1981
Jean-Pierre Serre
1
+
Über die Verteilung der quadratischen Reste und Nichtreste
1918
Pólya
1
+
Introduction to Number Theory
2001
Trygve Nagell
1
+
The Greatest Prime Factor of <i>x</i> <sup>2</sup>
1935
S. Chowla
1
+
PDF
Chat
Algebraic number theory
1999
Kazuya Katô
Nobushige Kurokawa
Takeshi Saito
1
+
ON THE LEAST PRIMITIVE ROOT OF A PRIME
2005
Yuan Wang
1
+
Additive Zahlentheorie
1956
Hans‐Heinrich Ostmann
1
+
Mean values of character sums III
1995
D. A. Burgess
1
+
A note on character sums
1994
John Friedlander
H. Iwaniec
1
+
PDF
Chat
On the regularity of arithmetic multiplicative functions, III
1981
Jean-Loup Mauclaire
Leo Murata
1
+
PDF
Chat
On the density of some sets of primes, I
1978
K. Wiertelak
1
+
Algebraic number-fields
1974
André Weil
1
+
PDF
Chat
On the density of some sets of primes, IV
1984
K. Wiertelak
1
+
Introduction to Analytic Number Theory
1976
Tom M. Apostol
1
+
13 Lectures on Fermat’s Last Theorem
1979
Paulo Ribenboim
1