Rabinowitsch revisited
Rad prevrátených hodnôt všetkých prvočísel a niektoré výsledky o konvergencii čiastočných radov harmonického radu
Ramanujan expansions of multiplicative functions
Ramanujan sums via generalized Möbius functions and applications.
Ramanujan-Entwicklungen stark multiplikativer Funktionen.
Ramanujan-Fourier series and the conjecture D of Hardy and Littlewood
We give a heuristic proof of a conjecture of Hardy and Littlewood concerning the density of prime pairs to which twin primes and Sophie Germain primes are special cases. The method uses the Ramanujan-Fourier series for a modified von Mangoldt function and the Wiener-Khintchine theorem for arithmetical functions. The failing of the heuristic proof is due to the lack of justification of interchange of certain limits. Experimental evidence using computer calculations is provided for the plausibility...
Random Liouville functions and normal sets
Random Sums Related To Prime Divisors Of An Integer
Real zeros of holomorphic Hecke cusp forms and sieving short intervals
We study so-called real zeros of holomorphic Hecke cusp forms, that is, zeros on three geodesic segments on which the cusp form (or a multiple of it) takes real values. Ghosh and Sarnak, who were the first to study this problem, showed the existence of many such zeros if many short intervals contain numbers whose prime factors all belong to a certain subset of the primes.We prove new results concerning this sieving problem which leads to improved lower bounds for the number of real zeros.
Reducibility of lacunary polynomials, V
Reducibility of lacunary polynomials, XI
Reductions of an elliptic curve with almost prime orders
Remarks on generalized Ramanujan sums and even functions.
Remarks on maximum and minimum exponents in factoring
Remarks on some new applications of the dispersion method
Remarks on the differences between consecutive primes.
Remarks on the paper "Sur certaines hypothèses concernant les nombres premiers"
Remarks on the theorem of Elliott and Daboussi, and applications
Remarques sur les fonctions multiplicatives
Remarques sur un théorème de G. Halász et A. Sárközy