J. H. H. Chalk and K. S. Williams: The distribution of solutions of congruences. -- Mathematika 12 (1965), 176--192. 14  Home/Search   Document Not in Database   Summary   Related Articles   Check

.... 1) where j i j 1 (i = 1; 2; 3) Thus the polynomial x s has a zero in B if p is large and jBj (1 ) d Gamma 1) s 2) 2 i.e. if b (1 ) d Gamma 1)p (s 2) 2s) ln(p) 5:2) These investigations are due to Mordell ( 24] 26] and to Chalk and Williams ( 7] and [9]) There are, of course, a lot of more recent results (see, e.g. 14] for quadratic congruences) 6 An improvement Often Theorem 1 and its modifications are used in order to answer a question of the following form: a) What is the number of important elements in a certain box B On the other ....

J. H. H. Chalk and K. S. Williams: The distribution of solutions of congruences. -- Mathematika 12 (1965), 176--192. 14

.... 3) Thus the polynomial x d 1 : x d s has a zero in B if p is large and jBj (1 ) d Gamma 1) s p (s 2) 2 (ln(p) s ; i.e. if b (1 ) 1=s (d Gamma 1)p (s 2) 2s) ln(p) 5:2) These investigations are due to Mordell ( 24] 26] and to Chalk and Williams ( 7] and [9]) There are, of course, a lot of more recent results (see, e.g. 14] for quadratic congruences) 6 An improvement Often Theorem 1 and its modifications are used in order to answer a question of the following form: a) What is the number of important elements in a certain box B On the other ....

J. H. H. Chalk and K. S. Williams: The distribution of solutions of congruences. -- Mathematika 12 (1965), 176--192.

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