Darbar, P.; Mukhopadhyay, A. A Bombieri-type theorem for convolution with application on number field. (English) Zbl 07399058 Acta Math. Hung. 163, No. 1, 37-61 (2021). MSC: 11N37 11A25 11R04 11R44 PDF BibTeX XML Cite \textit{P. Darbar} and \textit{A. Mukhopadhyay}, Acta Math. Hung. 163, No. 1, 37--61 (2021; Zbl 07399058) Full Text: DOI OpenURL
Vatwani, Akshaa; Wong, Peng-Jie On generalizations of the Titchmarsh divisor problem. (English) Zbl 1461.11129 Acta Arith. 193, No. 4, 321-337 (2020). MSC: 11N37 11N25 PDF BibTeX XML Cite \textit{A. Vatwani} and \textit{P.-J. Wong}, Acta Arith. 193, No. 4, 321--337 (2020; Zbl 1461.11129) Full Text: DOI OpenURL
Li, Junxian A binary quadratic Titchmarsh divisor problem. (English) Zbl 1475.11174 Acta Arith. 192, No. 4, 341-361 (2020). Reviewer: Mehdi Hassani (Zanjan) MSC: 11N37 11N36 11L07 11L20 PDF BibTeX XML Cite \textit{J. Li}, Acta Arith. 192, No. 4, 341--361 (2020; Zbl 1475.11174) Full Text: DOI arXiv OpenURL
Matomäki, Kaisa; Radziwiłł, Maksym; Tao, Terence Correlations of the von Mangoldt and higher divisor functions. II: Divisor correlations in short ranges. (English) Zbl 1416.11138 Math. Ann. 374, No. 1-2, 793-840 (2019). Reviewer: Mehdi Hassani (Zanjan) MSC: 11N37 11N36 PDF BibTeX XML Cite \textit{K. Matomäki} et al., Math. Ann. 374, No. 1--2, 793--840 (2019; Zbl 1416.11138) Full Text: DOI arXiv Link OpenURL
Matomäki, Kaisa; Radziwiłł, Maksym; Tao, Terence Correlations of the von Mangoldt and higher divisor functions. I. Long shift ranges. (English) Zbl 1426.11107 Proc. Lond. Math. Soc. (3) 118, No. 2, 284-350 (2019). Reviewer: Mehdi Hassani (Zanjan) MSC: 11N37 11N36 PDF BibTeX XML Cite \textit{K. Matomäki} et al., Proc. Lond. Math. Soc. (3) 118, No. 2, 284--350 (2019; Zbl 1426.11107) Full Text: DOI arXiv OpenURL
Xi, Ping A quadratic analogue of Titchmarsh divisor problem. (English) Zbl 1420.11125 J. Number Theory 184, 192-205 (2018). MSC: 11N37 11N13 11L07 PDF BibTeX XML Cite \textit{P. Xi}, J. Number Theory 184, 192--205 (2018; Zbl 1420.11125) Full Text: DOI OpenURL
Drappeau, Sary Sums of Kloosterman sums in arithmetic progressions, and the error term in the dispersion method. (English) Zbl 1392.11059 Proc. Lond. Math. Soc. (3) 114, No. 4, 684-732 (2017). Reviewer: Huaning Liu (Shaanxi) MSC: 11L07 11F30 11N75 11N13 PDF BibTeX XML Cite \textit{S. Drappeau}, Proc. Lond. Math. Soc. (3) 114, No. 4, 684--732 (2017; Zbl 1392.11059) Full Text: DOI arXiv OpenURL
Virdol, Cristian Cyclicity and Titchmarsh divisor problem for Drinfeld modules. (English) Zbl 1427.11056 Kyoto J. Math. 57, No. 3, 505-518 (2017). MSC: 11G09 11G15 PDF BibTeX XML Cite \textit{C. Virdol}, Kyoto J. Math. 57, No. 3, 505--518 (2017; Zbl 1427.11056) Full Text: DOI Euclid OpenURL
Virdol, Cristian On the Titchmarsh divisor problem for abelian varieties. (English) Zbl 1428.11113 Proc. Am. Math. Soc. 145, No. 9, 3681-3687 (2017). MSC: 11G10 11G15 PDF BibTeX XML Cite \textit{C. Virdol}, Proc. Am. Math. Soc. 145, No. 9, 3681--3687 (2017; Zbl 1428.11113) Full Text: DOI OpenURL
Andrade, J. C.; Bary-Soroker, L.; Rudnick, Z. Correction to ‘Shifted convolution and the Titchmarsh divisor problem over \(\mathbb F_q[t]\)’. (English) Zbl 1353.11100 Philos. Trans. R. Soc. Lond., A, Math. Phys. Eng. Sci. 374, No. 2060, Article ID 20150360, 1 p. (2016). MSC: 11N37 11A25 PDF BibTeX XML Cite \textit{J. C. Andrade} et al., Philos. Trans. R. Soc. Lond., A, Math. Phys. Eng. Sci. 374, No. 2060, Article ID 20150360, 1 p. (2016; Zbl 1353.11100) Full Text: DOI OpenURL
Virdol, Cristian Titchmarsh divisor problem for abelian varieties of types I, II, III, and IV. (English) Zbl 1419.11092 Trans. Am. Math. Soc. 368, No. 11, 8011-8028 (2016). MSC: 11G10 11G15 PDF BibTeX XML Cite \textit{C. Virdol}, Trans. Am. Math. Soc. 368, No. 11, 8011--8028 (2016; Zbl 1419.11092) Full Text: DOI Link OpenURL
Andrade, J. C.; Bary-Soroker, L.; Rudnick, Z. Shifted convolution and the Titchmarsh divisor problem over \(\mathbb F_q[t]\). (English) Zbl 1393.11061 Philos. Trans. A, R. Soc. Lond. 373, No. 2040, Article ID 20140308, 18 p. (2015); correction ibid. 374, No. 2060, Article ID 20150360, 1 p. (2016). MSC: 11N37 11A25 PDF BibTeX XML Cite \textit{J. C. Andrade} et al., Philos. Trans. A, R. Soc. Lond. 373, No. 2040, Article ID 20140308, 18 p. (2015; Zbl 1393.11061) Full Text: DOI arXiv OpenURL
Pitt, Nigel J. E. On an analogue of Titchmarsh’s divisor problem for holomorphic cusp forms. (English) Zbl 1366.11070 J. Am. Math. Soc. 26, No. 3, 735-776 (2013). MSC: 11F11 11F30 11F72 11N37 PDF BibTeX XML Cite \textit{N. J. E. Pitt}, J. Am. Math. Soc. 26, No. 3, 735--776 (2013; Zbl 1366.11070) Full Text: DOI OpenURL
Fiorilli, Daniel On a theorem of Bombieri, Friedlander, and Iwaniec. (English) Zbl 1315.11078 Can. J. Math. 64, No. 5, 1019-1035 (2012). Reviewer: D. R. Heath-Brown (Oxford) MSC: 11N13 11N37 PDF BibTeX XML Cite \textit{D. Fiorilli}, Can. J. Math. 64, No. 5, 1019--1035 (2012; Zbl 1315.11078) Full Text: DOI arXiv OpenURL
Felix, Adam Tyler Generalizing the Titchmarsh divisor problem. (English) Zbl 1277.11092 Int. J. Number Theory 8, No. 3, 613-629 (2012). Reviewer: Eira J. Scourfield (Egham) MSC: 11N13 11N37 11N36 PDF BibTeX XML Cite \textit{A. T. Felix}, Int. J. Number Theory 8, No. 3, 613--629 (2012; Zbl 1277.11092) Full Text: DOI OpenURL
Akbary, Amir; Ghioca, Dragos A geometric variant of Titchmarsh divisor problem. (English) Zbl 1282.11068 Int. J. Number Theory 8, No. 1, 53-69 (2012). MSC: 11G35 11G10 11R45 PDF BibTeX XML Cite \textit{A. Akbary} and \textit{D. Ghioca}, Int. J. Number Theory 8, No. 1, 53--69 (2012; Zbl 1282.11068) Full Text: DOI OpenURL
Hsu, Chih-Nung Applications of the large sieve inequality for \(\mathbb{F}_q[T]\). (English) Zbl 0919.11057 Finite Fields Appl. 4, No. 3, 275-281 (1998). Reviewer: G.Greaves (Cardiff) MSC: 11N36 11T55 11T06 PDF BibTeX XML Cite \textit{C.-N. Hsu}, Finite Fields Appl. 4, No. 3, 275--281 (1998; Zbl 0919.11057) Full Text: DOI OpenURL
Smati, A.; Wu, Jie On the exponential divisor function. (English) Zbl 0898.11034 Publ. Inst. Math., Nouv. Sér. 61(75), 21-32 (1997). Reviewer: Aleksandar Ivić (Beograd) MSC: 11N37 11N64 PDF BibTeX XML Cite \textit{A. Smati} and \textit{J. Wu}, Publ. Inst. Math., Nouv. Sér. 61(75), 21--32 (1997; Zbl 0898.11034) Full Text: EuDML OpenURL
Timofeev, N. M.; Khripunova, M. B. The Titchmarsh problem with integers having a given number of prime divisors. (English. Russian original) Zbl 0886.11055 Math. Notes 59, No. 4, 421-434 (1996); translation from Mat. Zametki 59, No. 4, 586-603 (1996). Reviewer: E.Krätzel (Wien) MSC: 11N37 11N25 PDF BibTeX XML Cite \textit{N. M. Timofeev} and \textit{M. B. Khripunova}, Math. Notes 59, No. 4, 421--434 (1996; Zbl 0886.11055); translation from Mat. Zametki 59, No. 4, 586--603 (1996) Full Text: DOI OpenURL
Timofeev, N. M.; Khripunova, M. B. Distribution of numbers with a given number of prime divisors in progressions. (English. Russian original) Zbl 0839.11038 Math. Notes 55, No. 2, 204-212 (1994); translation from Mat. Zametki 55, No. 2, 144-156 (1994). Reviewer: A.Balog (Budapest) MSC: 11N25 11N69 PDF BibTeX XML Cite \textit{N. M. Timofeev} and \textit{M. B. Khripunova}, Math. Notes 55, No. 2, 1 (1994; Zbl 0839.11038); translation from Mat. Zametki 55, No. 2, 144--156 (1994) Full Text: DOI OpenURL
Fouvry, E.; Tenenbaum, G. Diviseurs de Titchmarsh des entiers sans grand facteur premier. (Titchmarsh divisors of integers without large prime factors). (French) Zbl 0708.11043 Analytic number theory, Proc. Jap.-Fr. Symp., Tokyo/Jap. 1988, Lect. Notes Math. 1434, 86-102 (1990). Reviewer: S.W.Graham MSC: 11N25 PDF BibTeX XML OpenURL
Bombieri, E.; Friedlander, J. B.; Iwaniec, H. Primes in arithmetic progressions to large moduli. (English) Zbl 0588.10042 Acta Math. 156, 203-251 (1986). Reviewer: D. R. Heath-Brown (Oxford) MSC: 11N13 11N05 11N37 11L40 PDF BibTeX XML Cite \textit{E. Bombieri} et al., Acta Math. 156, 203--251 (1986; Zbl 0588.10042) Full Text: DOI EuDML OpenURL
Ryzhova, N. P. Order estimates in the generalized Titchmarsh problem. (Russian) Zbl 0673.10036 Additive problems of number theory, Interuniv. Collect. sci. Works, Kujbyshev 1985, 51-55 (1985). Reviewer: J.Kaczorowski MSC: 11N37 PDF BibTeX XML OpenURL
Piyadina, Zh. V. Halberstam’s conjecture and additive problems connected with it. (Russian) Zbl 0673.10034 Additive problems of number theory, Interuniv. Collect. sci. Works, Kuĭbyshev 1985, 10-17 (1985). Reviewer: Jerzy Kaczorowski (Poznań) MSC: 11N13 11N37 PDF BibTeX XML OpenURL
Fouvry, Etienne Sur le problème des diviseurs de Titchmarsh. (French) Zbl 0547.10039 J. Reine Angew. Math. 357, 51-76 (1985). MSC: 11N37 PDF BibTeX XML Cite \textit{E. Fouvry}, J. Reine Angew. Math. 357, 51--76 (1985; Zbl 0547.10039) Full Text: DOI Crelle EuDML OpenURL
Deshouillers, J.-M.; Iwaniec, H. Kloosterman sums and Fourier coefficients of cusp forms. (English) Zbl 0502.10021 Invent. Math. 70, 219-288 (1982). Reviewer: R. W. Bruggeman (Utrecht) MSC: 11L05 11F30 11F11 11N35 11N37 11M06 PDF BibTeX XML Cite \textit{J. M. Deshouillers} and \textit{H. Iwaniec}, Invent. Math. 70, 219--288 (1982; Zbl 0502.10021) Full Text: DOI EuDML OpenURL
Bredikhin, B. M. A heuristic principle in the additive theory of primes. (Russian) Zbl 0448.10048 Issledovaniya Po Additivnoj Teorii Chisel, Nauchn. Tr., Kujbyshev 215, 5-18 (1978). MSC: 11P32 PDF BibTeX XML OpenURL
Halberstam, H. Footnote to the Titchmarsh-Linnik divisor problem. (English) Zbl 0152.03202 Proc. Am. Math. Soc. 18, 187-188 (1967). Reviewer: Tom M. Apostol MSC: 11N37 PDF BibTeX XML Cite \textit{H. Halberstam}, Proc. Am. Math. Soc. 18, 187--188 (1967; Zbl 0152.03202) Full Text: DOI OpenURL
Barban, M. B. Analogues of the divisor problem of Titchmarsh. (Über Analoga des Teilerproblems von Titchmarsh.) (Russian. English summary) Zbl 0135.10404 Vestn. Leningr. Univ. 18, No. 19, Ser. Mat. Mekh. Astron. No. 4, 5-13 (1963). Reviewer: Karl Prachar MSC: 11N37 11N36 11L05 PDF BibTeX XML Cite \textit{M. B. Barban}, Vestn. Leningr. Univ., Mat. Mekh. Astron. 18, No. 4, 5--13 (1963; Zbl 0135.10404) OpenURL