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
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 &gt; 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