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1
Content available remote

On the hybrid mean value of Dedekind sums and Hurwitz zeta-function

100%
Acta Arithmetica
|
2000
|
tom 92
|
nr 2
141-152
2
Content available remote

On the difference between a D. H. Lehmer number and its inverse modulo q

100%
Acta Arithmetica
|
1994
|
tom 68
|
nr 3
255-263
3
Content available remote

On the distribution of inverses modulo p (II)

100%
Acta Arithmetica
|
2001
|
tom 100
|
nr 2
189-194
4
Content available remote

A sum analogous to Dedekind sums and its hybrid mean value formula

100%
5
Content available remote

A note on the Dirichlet characters of polynomials

64%
Acta Arithmetica
|
2004
|
tom 115
|
nr 3
225-229
6
Content available remote

On the Dirichlet characters of polynomials in several variables

64%
Acta Arithmetica
|
2006
|
tom 121
|
nr 2
117-124
7
Content available remote

On the 2kth power mean of the character sums over short intervals

64%
Acta Arithmetica
|
2006
|
tom 121
|
nr 2
149-160
8
Content available remote

A mean value related to the D. H. Lehmer problem and Kloosterman sums

64%
Acta Arithmetica
|
2010
|
tom 143
|
nr 3
291-298
9
Content available remote

On the mean value of L(m,χ )L(n,χ̅) at positive integers m,n ≥ 1

64%
10
Content available remote

Hybrid mean value for a generalization of a problem of D. H. Lehmer

64%
11
Content available remote

Some identities involving the Dirichlet L-function

64%
Acta Arithmetica
|
2007
|
tom 130
|
nr 2
157-166
12
Content available remote

On the Kummer conjecture

64%
Acta Arithmetica
|
2008
|
tom 131
|
nr 1
87-102
13
Content available remote

Fourth power mean of character sums

64%
14
Content available remote

Some applications of Bombieri's estimate for exponential sums

64%
Acta Arithmetica
|
2003
|
tom 107
|
nr 3
245-250
15
Content available remote

A note on the exponential Diophantine equation $(4m²+1)^x + (5m²-1)^y = (3m)^z$

52%
EN
Let m be a positive integer. Using an upper bound for the solutions of generalized Ramanujan-Nagell equations given by Y. Bugeaud and T. N. Shorey, we prove that if 3 ∤ m, then the equation $(4m²+1)^x + (5m²-1)^y = (3m)^z$ has only the positive integer solution (x,y,z) = (1,1,2).
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