A new class of infinite products, and Euler's totient

a new algorithm and software of individual life insurance and annuity computation

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Least Totient in a Residue Class

For a given residue class a (mod m) with gcd(a,m) = 1, upper bounds are obtained on the smallest value of n with φ(n) ≡ a (mod m). Here, as usual φ(n) denotes the Euler function. These bounds complement a result of W. Narkiewicz on the asymptotic uniformity of distribution of values of the Euler function in reduced residue classes modulo m. Some discussion and results are also given for classes...

A note on the least totient of a residue class

Let q denote a large prime number, a be any integer. Let N(q, a) denote the smallest positive integer n for which φ(n) ≡ a (mod q). The number N(q, a) exists. Indeed, if a+1 ≡ 0 (mod q) then one can take n = q. Otherwise, one can take n to be a prime from the arithmetical progression a + 1 (mod q). The problem of upper bound estimates for N(q, a) has been a subject of study of the work of Fried...

a fundamental study of "histiriographic metafiction", and "literary genres", as introduced in "new historical philosophy", and tracing them in the works of julian barnes.

abstract a fundamental study of “historio-graphic metafiction” and “literary genres”, as introduced in “new historical philosophy”, and tracing them in the works of julian barnes having studied the two novels, the porcupine and arthur & george, by julian barnes, the researcher has applied linda hutcheon’s historio-graphic metafictional theories to them. the thesis is divided into five cha...

A New Class of Banach Sequence Spaces