Steinerberger, Stefan Wasserstein distance, Fourier series and applications. (English) Zbl 07308735 Monatsh. Math. 194, No. 2, 305-338 (2021). MSC: 60B10 42A05 42A16 11L03 35B05 49Q20 11K38 60E05 PDF BibTeX XML Cite \textit{S. Steinerberger}, Monatsh. Math. 194, No. 2, 305--338 (2021; Zbl 07308735) Full Text: DOI
Dunn, Alexander; Kerr, Bryce; Shparlinski, Igor E.; Zaharescu, Alexandru Bilinear forms in Weyl sums for modular square roots and applications. (English) Zbl 07281396 Adv. Math. 375, Article ID 107369, 58 p. (2020). MSC: 11A15 11E25 11K38 11L07 11L20 11N32 PDF BibTeX XML Cite \textit{A. Dunn} et al., Adv. Math. 375, Article ID 107369, 58 p. (2020; Zbl 07281396) Full Text: DOI
Chattopadhyay, Jaitra; Roy, Bidisha; Sarkar, Subha; Thangadurai, R. Distribution of residues modulo \(p\) using the Dirichlet’s class number formula. (English) Zbl 1444.11008 Chakraborty, Kalyan (ed.) et al., Class groups of number fields and related topics. Collected papers presented at the first international conference, ICCGNFRT, Harish-Chandra Research Institute, Allahabad, India, September 4–7, 2017. Singapore: Springer. 97-107 (2020). MSC: 11A07 11A15 11N69 11R29 PDF BibTeX XML Cite \textit{J. Chattopadhyay} et al., in: Class groups of number fields and related topics. Collected papers presented at the first international conference, ICCGNFRT, Harish-Chandra Research Institute, Allahabad, India, September 4--7, 2017. Singapore: Springer. 97--107 (2020; Zbl 1444.11008) Full Text: DOI
Pan, Hao; Sun, Zhi-Wei Consecutive primes and Legendre symbols. (English) Zbl 1437.11009 Acta Arith. 190, No. 3, 209-220 (2019). MSC: 11A41 11N05 11A07 11A15 PDF BibTeX XML Cite \textit{H. Pan} and \textit{Z.-W. Sun}, Acta Arith. 190, No. 3, 209--220 (2019; Zbl 1437.11009) Full Text: DOI arXiv
Balister, Paul; Bollobás, Béla; Lee, Jonathan D.; Morris, Robert; Riordan, Oliver A note on Linnik’s theorem on quadratic non-residues. (English) Zbl 1447.11100 Arch. Math. 112, No. 4, 371-375 (2019). Reviewer: Stephan Baier (Haora) MSC: 11N36 11N69 11A15 PDF BibTeX XML Cite \textit{P. Balister} et al., Arch. Math. 112, No. 4, 371--375 (2019; Zbl 1447.11100) Full Text: DOI arXiv
Weissman, Martin H. An illustrated theory of numbers. (English) Zbl 1390.11002 Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-3493-9/hbk). xv, 323 p. (2017). Reviewer: Štefan Porubský (Praha) MSC: 11-01 11Axx 11Bxx 11D04 11E16 11N05 00A35 PDF BibTeX XML Cite \textit{M. H. Weissman}, An illustrated theory of numbers. Providence, RI: American Mathematical Society (AMS) (2017; Zbl 1390.11002)
Pollack, Paul Bounds for the first several prime character nonresidues. (English) Zbl 1427.11005 Proc. Am. Math. Soc. 145, No. 7, 2815-2826 (2017). Reviewer: Florian Luca (Johannesburg) MSC: 11A15 11L40 11N25 PDF BibTeX XML Cite \textit{P. Pollack}, Proc. Am. Math. Soc. 145, No. 7, 2815--2826 (2017; Zbl 1427.11005) Full Text: DOI arXiv
Balyas, Lyubov; Varbanets, Pavel Quadratic residues of the norm group in sectorial domains. (English) Zbl 1409.11058 Algebra Discrete Math. 22, No. 2, 153-170 (2016). MSC: 11L05 11A15 11L07 11N25 11S40 PDF BibTeX XML Cite \textit{L. Balyas} and \textit{P. Varbanets}, Algebra Discrete Math. 22, No. 2, 153--170 (2016; Zbl 1409.11058) Full Text: MNR Link
Shivarajkumar Beyond Schur’s conjecture. (English) Zbl 1377.11034 Am. Math. Mon. 123, No. 1, 66-70 (2016). MSC: 11B75 11A15 11N69 PDF BibTeX XML Cite \textit{Shivarajkumar}, Am. Math. Mon. 123, No. 1, 66--70 (2016; Zbl 1377.11034) Full Text: DOI
Justus, Benjamin The distribution of quadratic residues and non-residues in the Goldwasser-Micali type of cryptosystem. II. (English) Zbl 1343.94068 J. Math. Cryptol. 9, No. 2, 115-137 (2015). MSC: 94A60 11A15 11N69 PDF BibTeX XML Cite \textit{B. Justus}, J. Math. Cryptol. 9, No. 2, 115--137 (2015; Zbl 1343.94068) Full Text: DOI
Tao, Terence The Elliott-Halberstam conjecture implies the Vinogradov least quadratic nonresidue conjecture. (English) Zbl 1319.11067 Algebra Number Theory 9, No. 4, 1005-1034 (2015). Reviewer: D. R. Heath-Brown (Oxford) MSC: 11N69 11N13 11A15 11L40 11L20 PDF BibTeX XML Cite \textit{T. Tao}, Algebra Number Theory 9, No. 4, 1005--1034 (2015; Zbl 1319.11067) Full Text: DOI arXiv
Justus, Benjamin The distribution of quadratic residues and nonresidues in arithmetic progressions. (English) Zbl 1321.11106 Lith. Math. J. 54, No. 2, 142-149 (2014). Reviewer: Pieter Moree (Bonn) MSC: 11N64 11A15 11L40 PDF BibTeX XML Cite \textit{B. Justus}, Lith. Math. J. 54, No. 2, 142--149 (2014; Zbl 1321.11106) Full Text: DOI
Justus, Benjamin The distribution of quadratic residues and non-residues in the Goldwasser-Micali type of cryptosystem. (English) Zbl 1343.94067 J. Math. Cryptol. 8, No. 2, 115-140 (2014). MSC: 94A60 11A15 PDF BibTeX XML Cite \textit{B. Justus}, J. Math. Cryptol. 8, No. 2, 115--140 (2014; Zbl 1343.94067) Full Text: DOI
Xi, Ping Quadratic residues and non-residues for infinitely many Piatetski-Shapiro primes. (English) Zbl 1300.11010 Acta Math. Sin., Engl. Ser. 29, No. 3, 515-522 (2013). Reviewer: Franz Lemmermeyer (Jagstzell) MSC: 11A15 11N05 11N69 PDF BibTeX XML Cite \textit{P. Xi}, Acta Math. Sin., Engl. Ser. 29, No. 3, 515--522 (2013; Zbl 1300.11010) Full Text: DOI arXiv
Pollack, Paul The average least quadratic nonresidue modulo \(m\) and other variations on a theme of Erdős. (English) Zbl 1300.11008 J. Number Theory 132, No. 6, 1185-1202 (2012). Reviewer: Pieter Moree (Bonn) MSC: 11A15 11N25 11N36 PDF BibTeX XML Cite \textit{P. Pollack}, J. Number Theory 132, No. 6, 1185--1202 (2012; Zbl 1300.11008) Full Text: DOI
Luca, F.; Thangadurai, R. Distribution of residues modulo \(p\). II. (English) Zbl 1282.11134 Manickam, M. (ed.) et al., Number theory. Proceedings of the international conference on number theory and applications, Chennai, India, December 2006. In honour of Prof. T. C. Vasudevan on his sixtieth birthday. Mysore: Ramanujan Mathematical Society (ISBN 978-93-80416-07-6/hbk). Ramanujan Mathematical Society Lecture Notes Series 15, 51-62 (2011). Reviewer: Pieter Moree (Bonn) MSC: 11N69 11A15 11B25 PDF BibTeX XML Cite \textit{F. Luca} and \textit{R. Thangadurai}, Ramanujan Math. Soc. Lect. Notes Ser. 15, 51--62 (2011; Zbl 1282.11134)
Schinzel, A. Primitive roots and quadratic non-residues. (English) Zbl 1257.11085 Acta Arith. 149, No. 2, 161-170 (2011). Reviewer: Władysław Narkiewicz (Wrocław) MSC: 11N25 11A07 PDF BibTeX XML Cite \textit{A. Schinzel}, Acta Arith. 149, No. 2, 161--170 (2011; Zbl 1257.11085) Full Text: DOI
Arnol’d, V. I. Are quadratic residues random? (English) Zbl 1227.11090 Regul. Chaotic Dyn. 15, No. 4-5, 425-430 (2010). Reviewer: Florin Nicolae (Berlin) MSC: 11K38 11N69 11A15 PDF BibTeX XML Cite \textit{V. I. Arnol'd}, Regul. Chaotic Dyn. 15, No. 4--5, 425--430 (2010; Zbl 1227.11090) Full Text: DOI
Lau, Yuk-Kam; Wu, Jie On the least quadratic non-residue. (English) Zbl 1172.11030 Int. J. Number Theory 4, No. 3, 423-435 (2008). Reviewer: Sidney W. Graham (Mount Pleasant) MSC: 11N69 11A15 11N36 11L40 PDF BibTeX XML Cite \textit{Y.-K. Lau} and \textit{J. Wu}, Int. J. Number Theory 4, No. 3, 423--435 (2008; Zbl 1172.11030) Full Text: DOI
Gun, Sanoli; Luca, Florian; Rath, Purusottam; Sahu, B.; Thangadurai, Ravindranathan Distribution of residues modulo \(p\). (English) Zbl 1133.11056 Acta Arith. 129, No. 4, 325-333 (2007). Reviewer: Pieter Moree (Bonn) (MR2346107) MSC: 11N69 11A07 PDF BibTeX XML Cite \textit{S. Gun} et al., Acta Arith. 129, No. 4, 325--333 (2007; Zbl 1133.11056) Full Text: DOI
Wright, Steve Patterns of quadratic residues and nonresidues for infinitely many primes. (English) Zbl 1111.11003 J. Number Theory 123, No. 1, 120-132 (2007). Reviewer: Franz Lemmermeyer (Bilkent) MSC: 11A15 11A07 11N69 PDF BibTeX XML Cite \textit{S. Wright}, J. Number Theory 123, No. 1, 120--132 (2007; Zbl 1111.11003) Full Text: DOI
Hummel, Patrick On consecutive quadratic non-residues: a conjecture of Issai Schur. (English) Zbl 1049.11006 J. Number Theory 103, No. 2, 257-266 (2003). Reviewer: Tauno Metsänkylä (Turku) MSC: 11A15 11N25 11N69 PDF BibTeX XML Cite \textit{P. Hummel}, J. Number Theory 103, No. 2, 257--266 (2003; Zbl 1049.11006) Full Text: DOI arXiv
Pustyl’nikov, L. D. Infinite-dimensional generalized continued fractions, distribution of quadratic residues and non-residues, and ergodic theory. (English) Zbl 1089.11043 Infin. Dimens. Anal. Quantum Probab. Relat. Top. 5, No. 4, 555-570 (2002). Reviewer: Harald Rindler (Wien) MSC: 11K50 11N69 37A45 PDF BibTeX XML Cite \textit{L. D. Pustyl'nikov}, Infin. Dimens. Anal. Quantum Probab. Relat. Top. 5, No. 4, 555--570 (2002; Zbl 1089.11043) Full Text: DOI
Car, Mireille Quadratic residues in \({\mathbb F}_q[T]\). (Résidus quadratiques dans \({\mathbb F}_q[T]\).) (French) Zbl 1034.11065 Acta Arith. 104, No. 2, 137-153 (2002). Reviewer: Sidney W. Graham (Mount Pleasant) MSC: 11T06 11N69 11T55 PDF BibTeX XML Cite \textit{M. Car}, Acta Arith. 104, No. 2, 137--153 (2002; Zbl 1034.11065) Full Text: DOI
Zhimbo, E. K.; Chubarikov, V. N. On the asymptotic distribution of values of arithmetic functions. (English. Russian original) Zbl 1052.11058 Dokl. Math. 63, No. 2, 165-166 (2001); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 377, No. 2, 156-157 (2001). Reviewer: Olaf Ninnemann (Berlin) MSC: 11L05 11N69 PDF BibTeX XML Cite \textit{E. K. Zhimbo} and \textit{V. N. Chubarikov}, Dokl. Math. 63, No. 2, 156--157 (2001; Zbl 1052.11058); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 377, No. 2, 156--157 (2001)
Preobrazhenskiĭ, S. N. The least quadratic nonresidue in an arithmetic sequence. (English. Russian original) Zbl 1045.11002 Mosc. Univ. Math. Bull. 56, No. 1, 44-46 (2001); translation from Vestn. Mosk. Univ., Ser. I 2001, No. 1, 54-56 (2001). Reviewer: V. V. Shegai (Tashken) MSC: 11A15 11N69 PDF BibTeX XML Cite \textit{S. N. Preobrazhenskiĭ}, Mosc. Univ. Math. Bull. 56, No. 1, 54--56 (2001; Zbl 1045.11002); translation from Vestn. Mosk. Univ., Ser. I 2001, No. 1, 54--56 (2001)
Zhang, Wenpeng On the primitive roots and the quadratic residues modulo \(p\). (English) Zbl 0928.11001 Stud. Sci. Math. Hung. 35, No. 1-2, 139-145 (1999). MSC: 11A07 11N69 PDF BibTeX XML Cite \textit{W. Zhang}, Stud. Sci. Math. Hung. 35, No. 1--2, 139--145 (1999; Zbl 0928.11001)
Wu, Shengli On quadratic residue and primitive root problems of P. Gallagher’s type. (Chinese. English summary) Zbl 0917.11050 J. Northwest Univ., Nat. Sci. 28, No. 2, 105-108 (1998). Reviewer: Xuan Tizuo (Beijing) MSC: 11N69 11A07 PDF BibTeX XML Cite \textit{S. Wu}, J. Northwest Univ., Nat. Sci. Ed. 28, No. 2, 105--108 (1998; Zbl 0917.11050)
Kumanduri, R.; Romero, Cristina Number theory with computer applications. (English) Zbl 0902.11001 Upper Saddle River, NJ: Prentice Hall. xiii, 543 p. (1998). Reviewer: P.Shiu (Loughborough) MSC: 11-01 11Y05 11Y11 94A60 11A07 11A15 11A51 11A55 PDF BibTeX XML Cite \textit{R. Kumanduri} and \textit{C. Romero}, Number theory with computer applications. Upper Saddle River, NJ: Prentice Hall (1998; Zbl 0902.11001)
Pustyl’nikov, L. D. Infinite-dimensional generalized continued fractions, quadratic residues and nonresidues, and ergodic theory. (English. Russian original) Zbl 0924.11062 Russ. Math. Surv. 52, No. 2, 420-421 (1997); translation from Usp. Mat. Nauk 52, No. 2, 183-184 (1997). Reviewer: Karma Dajani (Utrecht) MSC: 11K50 11N69 PDF BibTeX XML Cite \textit{L. D. Pustyl'nikov}, Russ. Math. Surv. 52, No. 2, 420--421 (1997; Zbl 0924.11062); translation from Usp. Mat. Nauk 52, No. 2, 183--184 (1997) Full Text: DOI
Wu, Shengli On quadratic residues and related problem. (Chinese. English summary) Zbl 0906.11044 J. Baoji Coll. Arts Sci., Nat. Sci. 17, No. 3, 17-19, 27 (1997). Reviewer: Lu Minggao (Shanghai) MSC: 11L05 11N69 PDF BibTeX XML Cite \textit{S. Wu}, J. Baoji Coll. Arts Sci., Nat. Sci. 17, No. 3, 17--19, 27 (1997; Zbl 0906.11044)
Caragiu, Mihai; Mullen, Gary L. The distribution of power residues in finite fields. (English) Zbl 0912.11054 Southeast Asian Bull. Math. 21, No. 2, 149-157 (1997). Reviewer: Pieter Moree (Leiden) MSC: 11T30 11A15 11T23 PDF BibTeX XML Cite \textit{M. Caragiu} and \textit{G. L. Mullen}, Southeast Asian Bull. Math. 21, No. 2, 149--157 (1997; Zbl 0912.11054)
Puchta, Jan-Christoph; Wolke, Dieter On the distribution of prime quadratic residue and nonresidues \(\text{mod }p\). (Über die Verteilung der primen quadratischen Reste und Nicht-Reste \(\text{mod }p\).) (German) Zbl 0904.11028 Monatsh. Math. 124, No. 4, 337-342 (1997). Reviewer: J.Kaczorowski (Poznań) MSC: 11N13 11M20 11N69 11A15 11M06 11N37 PDF BibTeX XML Cite \textit{J.-C. Puchta} and \textit{D. Wolke}, Monatsh. Math. 124, No. 4, 337--342 (1997; Zbl 0904.11028) Full Text: DOI EuDML
Hall, R. R. Proof of a conjecture of Heath-Brown concerning quadratic residues. (English) Zbl 0876.11045 Proc. Edinb. Math. Soc., II. Ser. 39, No. 3, 581-588 (1996). Reviewer: A.Hildebrand (Urbana) MSC: 11N37 11N69 PDF BibTeX XML Cite \textit{R. R. Hall}, Proc. Edinb. Math. Soc., II. Ser. 39, No. 3, 581--588 (1996; Zbl 0876.11045) Full Text: DOI
Bundschuh, Peter Introduction to number theory. 3., vollst. überarb. Aufl. (Einführung in die Zahlentheorie.) (German) Zbl 0861.11001 Springer-Lehrbuch. Berlin: Springer. xiv, 336 p. (1996). Reviewer: E.Krätzel (Wien) MSC: 11-01 11Axx 11N05 11M06 11J81 11Dxx PDF BibTeX XML Cite \textit{P. Bundschuh}, Einführung in die Zahlentheorie. Berlin: Springer (1996; Zbl 0861.11001)
Plaksin, V. A. On the distribution of quadratic residues and nonresidues. (Russian) Zbl 0865.11064 Tr. Petrozavodsk. Gos. Univ., Ser. Mat. 2, 68-70 (1995). Reviewer: G.Kolesnik (Los Angeles) MSC: 11N69 11A15 PDF BibTeX XML Cite \textit{V. A. Plaksin}, Tr. Petrozavodsk. Gos. Univ., Ser. Mat. 2, 68--70 (1995; Zbl 0865.11064)
Winterhof, Arne Cyclic transformations and power vectors over finite fields. (Zyklische Transformationen und Potenzvektoren über endlichen Körpern.) (German) Zbl 0869.11098 Braunschweig: Tech. Univ. Braunschweig, FB Math. 55 S. (1995). Reviewer: D.Jungnickel (Augsburg) MSC: 11T22 12E20 15A04 PDF BibTeX XML Cite \textit{A. Winterhof}, Zyklische Transformationen und Potenzvektoren über endlichen Körpern. Braunschweig: Tech. Univ. Braunschweig, FB Math. (1995; Zbl 0869.11098)
Berend, Daniel; Peres, Yuval Asymptotically dense dilations of sets on the circle. (English) Zbl 0728.11037 J. Lond. Math. Soc., II. Ser. 47, No. 1, 1-17 (1993). Reviewer: Daniel Berend (Beer-Sheva) MSC: 11K06 11K38 11J13 PDF BibTeX XML Full Text: DOI
Zheng, Zhiyong On the least pair of quadratic non-residues \(\pmod p\). (English) Zbl 0773.11004 Adv. Math., Beijing 21, No. 4, 493-494 (1992). Reviewer: Jürgen Hinz (Marburg) MSC: 11A15 11N69 11L40 PDF BibTeX XML Cite \textit{Z. Zheng}, Adv. Math., Beijing 21, No. 4, 493--494 (1992; Zbl 0773.11004)
Bundschuh, Peter Einführung in die Zahlentheorie. 2. Aufl. (German) Zbl 0746.11001 Springer-Lehrbuch. Berlin etc.: Springer-Verlag. xiv, 334 p. (1992). Reviewer: E.Krätzel (Jena) MSC: 11-01 PDF BibTeX XML Cite \textit{P. Bundschuh}, Einführung in die Zahlentheorie. 2. Aufl. Berlin etc.: Springer-Verlag (1992; Zbl 0746.11001)
Popov, O. V. Quadratic residues and nonresidues in a square-free numbers sequence. (English. Russian original) Zbl 0697.10038 Mosc. Univ. Math. Bull. 44, No. 5, 77-79 (1989); translation from Vestn. Mosk. Univ., Ser. I 1989, No. 5, 81-83 (1989). MSC: 11N69 11L40 11A15 PDF BibTeX XML Cite \textit{O. V. Popov}, Mosc. Univ. Math. Bull. 44, No. 5, 77--79 (1989; Zbl 0697.10038); translation from Vestn. Mosk. Univ., Ser. I 1989, No. 5, 81--83 (1989)
Popov, O. V. On quadratic residues and nonresidues in the sequence of square-free numbers. (Russian) Zbl 0684.10046 Vestn. Mosk. Univ., Ser. I 1989, No. 5, 81-83 (1989). Reviewer: W.Narkiewicz MSC: 11N69 11L40 11A15 PDF BibTeX XML Cite \textit{O. V. Popov}, Vestn. Mosk. Univ., Ser. I 1989, No. 5, 81--83 (1989; Zbl 0684.10046)
Karatsuba, A. A. The distribution of pairs of quadratic residues and nonresidues of a special form. (English. Russian original) Zbl 0679.10031 Math. USSR, Izv. 31, No. 2, 307-323 (1988); translation from Izv. Akad. Nauk SSSR, Ser. Mat. 51, No. 5, 994-1009 (1987). MSC: 11L40 11N69 11A15 PDF BibTeX XML Cite \textit{A. A. Karatsuba}, Math. USSR, Izv. 31, No. 2, 307--323 (1988; Zbl 0679.10031); translation from Izv. Akad. Nauk SSSR, Ser. Mat. 51, No. 5, 994--1009 (1987) Full Text: DOI
Bundschuh, Peter Introduction to number theory. (Einführung in die Zahlentheorie.) (German) Zbl 0646.10001 Hochschultext. Berlin etc.: Springer-Verlag. xiv, 332 p. DM 78.00 (1988). Reviewer: E.Krätzel MSC: 11-01 PDF BibTeX XML Cite \textit{P. Bundschuh}, Einführung in die Zahlentheorie. Berlin etc.: Springer-Verlag (1988; Zbl 0646.10001)
Aigner, Alexander Über Primzahlen, nach denen (fast) all Fermatschen Zahlen quadratische Nichtreste sind. (On prime numbers, for which (almost) all Fermat numbers are quadratic non-residues). (German) Zbl 0584.10003 Monatsh. Math. 101, 85-93 (1986). MSC: 11A15 11B39 11A41 11N69 11A07 PDF BibTeX XML Cite \textit{A. Aigner}, Monatsh. Math. 101, 85--93 (1986; Zbl 0584.10003) Full Text: DOI EuDML
Negmatova, G. D. Distribution of power residues in ”sparse” sequences. (Russian) Zbl 0574.10008 Dokl. Akad. Nauk Tadzh. SSR 28, 193-197 (1985). Reviewer: A.Ivić MSC: 11A15 11N69 PDF BibTeX XML Cite \textit{G. D. Negmatova}, Dokl. Akad. Nauk Tadzh. SSR 28, 193--197 (1985; Zbl 0574.10008)
Hudson, Richard H. Averaging effects on irregularities in the distribution of primes in arithmetic progressions. (English) Zbl 0566.10036 Math. Comput. 44, 561-571 (1985). Reviewer: W.E.Briggs MSC: 11N05 11N13 11-04 11M06 PDF BibTeX XML Cite \textit{R. H. Hudson}, Math. Comput. 44, 561--571 (1985; Zbl 0566.10036) Full Text: DOI
Monzingo, M. G. On the distribution of consecutive triples of quadratic residues and quadratic nonresidues and related topics. (English) Zbl 0564.10002 Fibonacci Q. 23, 133-138 (1985). Reviewer: R.J.Stroeker MSC: 11A15 11N69 11A07 PDF BibTeX XML Cite \textit{M. G. Monzingo}, Fibonacci Q. 23, 133--138 (1985; Zbl 0564.10002)
Karatsuba, A. A. Quadratic residues and nonresidues in sparse sequences. (English. Russian original) Zbl 0588.10039 Sov. Math., Dokl. 30, 767-768 (1984); translation from Dokl. Akad. Nauk SSSR 279, 1044-1046 (1984). Reviewer: M.Jutila MSC: 11L40 11A15 PDF BibTeX XML Cite \textit{A. A. Karatsuba}, Sov. Math., Dokl. 30, 767--768 (1984; Zbl 0588.10039); translation from Dokl. Akad. Nauk SSSR 279, 1044--1046 (1984)
Buell, Duncan A.; Hudson, Richard H. On runs of consecutive quadratic residues and quadratic nonresidues. (English) Zbl 0537.10027 BIT 24, 243-247 (1984). MSC: 11N69 11A15 PDF BibTeX XML Cite \textit{D. A. Buell} and \textit{R. H. Hudson}, BIT 24, 243--247 (1984; Zbl 0537.10027) Full Text: DOI
Ribenboim, P. “1093”. (English) Zbl 0516.10001 Math. Intell. 5, No. 2, 28-34 (1983). Reviewer: Charles Small (Kingston/Ontario) MSC: 11-01 11A07 11A41 11-03 11B68 11R11 11R29 01A55 01A60 PDF BibTeX XML Cite \textit{P. Ribenboim}, Math. Intell. 5, No. 2, 28--34 (1983; Zbl 0516.10001) Full Text: DOI
Sarges, Heidrun; Schaal, Werner Least quadratic non-residues in algebraic number fields. (English) Zbl 0505.12002 J. Number Theory 15, 275-281 (1982). MSC: 11R04 11N69 11N35 PDF BibTeX XML Cite \textit{H. Sarges} and \textit{W. Schaal}, J. Number Theory 15, 275--281 (1982; Zbl 0505.12002) Full Text: DOI
Pellegrino, Giuseppe Sulle sostituzioni lineari, sui campi finiti di ordine dispari, che conservano oppure scambiano il carattere quadratico degli elementi trasformati. (Italian) Zbl 0502.12019 Boll. Unione Mat. Ital., VI. Ser., B 1, 211-223 (1982). MSC: 11T55 11N69 PDF BibTeX XML Cite \textit{G. Pellegrino}, Boll. Unione Mat. Ital., VI. Ser., B 1, 211--223 (1982; Zbl 0502.12019)
Walum, Herbert On the distribution of quadratic residues modulo a prime. (English) Zbl 0493.10006 J. Number Theory 15, 248-251 (1982). MSC: 11A15 11A25 PDF BibTeX XML Cite \textit{H. Walum}, J. Number Theory 15, 248--251 (1982; Zbl 0493.10006) Full Text: DOI
Monzingo, M. G. On the distribution of quadratic residues. (English) Zbl 0518.10004 The Fibonacci sequence, Collect. Manuscr., 18th anniv. Vol., The Fibonacci Assoc., 94-97 (1980). Reviewer: Péter Kiss (Eger) MSC: 11A15 PDF BibTeX XML
Bentz, H.-J.; Pintz, J. Quadratic residues and the distribution of prime numbers. (English) Zbl 0431.10027 Monatsh. Math. 90, 91-100 (1980). MSC: 11N13 11N05 PDF BibTeX XML Cite \textit{H. J. Bentz} and \textit{J. Pintz}, Monatsh. Math. 90, 91--100 (1980; Zbl 0431.10027) Full Text: DOI EuDML
Hudson, Richard H.; Williams, Kenneth S. On the least quadratic non-residue of a prime \(p\equiv 3(\mod 4)\). (English) Zbl 0425.10004 J. Reine Angew. Math. 318, 106-109 (1980). MSC: 11A15 11N69 PDF BibTeX XML Cite \textit{R. H. Hudson} and \textit{K. S. Williams}, J. Reine Angew. Math. 318, 106--109 (1980; Zbl 0425.10004) Full Text: DOI Crelle EuDML
Proskurin, N. V. A theorem on the distribution of quadratic residues having applications in the ergodic method of Yu. V. Linnik. (English) Zbl 0403.10020 J. Sov. Math. 11, 337-346 (1979). MSC: 11N69 11P05 11N05 PDF BibTeX XML Cite \textit{N. V. Proskurin}, J. Sov. Math. 11, 337--346 (1979; Zbl 0403.10020) Full Text: DOI
Hexel, Erhard; Sachs, Horst Counting residues modulo a prime in Pascal’s triangle. (English) Zbl 0499.10005 Indian J. Math. 20, 91-105 (1978). Reviewer: Dieter Wolke (Freiburg i. Br.) MSC: 11B65 11A15 05A10 11N69 PDF BibTeX XML Cite \textit{E. Hexel} and \textit{H. Sachs}, Indian J. Math. 20, 91--105 (1978; Zbl 0499.10005)
Erdős, Paul; Sárkőzy, András On differences and sums of integers. I. (English) Zbl 0404.10029 J. Number Theory 10, 430-450 (1978). Reviewer: M.M.Dodson MSC: 11B83 11B13 11P99 11D85 11L03 PDF BibTeX XML Cite \textit{P. Erdős} and \textit{A. Sárkőzy}, J. Number Theory 10, 430--450 (1978; Zbl 0404.10029) Full Text: DOI
Rieger, Georg Johann Number theory. (Zahlentheorie.) (German) Zbl 0328.10001 Studia Mathematica/Mathematische Lehrbücher. Band XXIX. Göttingen: Vandenhoeck & Ruprecht. 219 S. DM 39.00 (1976). Reviewer: Herbert Pieper (Berlin) MSC: 11-01 11Axx 11Mxx 11Jxx 11Pxx 11N05 11N13 11M06 11N35 11P05 PDF BibTeX XML
Aigner, Alexander Number theory. (Zahlentheorie.) (German) Zbl 0289.10001 De Gruyter Lehrbuch. Berlin-New York: Walter de Gruyter. 216 S. geb. DM 34.00 (1975). Reviewer: Kazimierz Szymiczek (Katowice) MSC: 11-01 11Axx 11D09 11R11 PDF BibTeX XML
Ecklund, E. F. jun. Distribution of power residues and non-residues in the Eisenstein integers. (English) Zbl 0339.12001 Proc. 1972 Number Theory Conf., Univ. Colorado, Boulder 1972, 71-74 (1972). MSC: 11R04 11N69 11R11 11A15 PDF BibTeX XML
Riesel, Hans Ein Buch über Primzahlen. (En bok om primtal.) (Swedish) Zbl 0286.10004 Lund, Sweden: Studentlitteratur. 174 p. Sw. crs. 42.00 (1968). Reviewer: Olaf Ninnemann (Berlin) MSC: 11A41 11A51 11-01 11Y05 11Y11 11A15 11Y70 PDF BibTeX XML
Burde, Klaus On the distribution of quadratic residues. (Zur Verteilung quadratischer Reste.) (German) Zbl 0157.08902 Math. Z. 105, 150-152 (1968). Reviewer: Klaus Burde MSC: 11N69 11A15 PDF BibTeX XML Cite \textit{K. Burde}, Math. Z. 105, 150--152 (1968; Zbl 0157.08902) Full Text: DOI EuDML
Grosswald, Emil Topics from the theory of numbers. (English) Zbl 0158.29501 New York: The Macmillan Company; London: Collier-Macmillan Ltd. 1966, xv, 299 p. 68 s. (1966). Reviewer: Tom M. Apostol MSC: 11-01 11Axx 11M06 11N05 11N13 11Dxx 11D41 11R11 11R27 11P81 PDF BibTeX XML
Burgess, D. A. The distribution of quadratic residues and non-residues. (English) Zbl 0081.27101 Mathematika 4, 106-112 (1957). Reviewer: Jack P. Tull (Columbus, OH) MSC: 11N69 11A15 11L40 PDF BibTeX XML Cite \textit{D. A. Burgess}, Mathematika 4, 106--112 (1957; Zbl 0081.27101) Full Text: DOI
Cohn, Harvey Some applied number theory. (English) Zbl 0073.03403 J. Soc. Ind. Appl. Math. 4, 152-167 (1956). Reviewer: M. Kneser MSC: 11A15 11K06 11L05 11F27 70F15 PDF BibTeX XML Cite \textit{H. Cohn}, J. Soc. Ind. Appl. Math. 4, 152--167 (1956; Zbl 0073.03403) Full Text: DOI
Davenport, Harold; Erdős, Pál The distribution of quadratic and higher residues. (English) Zbl 0050.04302 Publ. Math. 2, 252-265 (1953). Reviewer: H. D. Kloosterman MSC: 11N69 11A15 PDF BibTeX XML Cite \textit{H. Davenport} and \textit{P. Erdős}, Publ. Math. 2, 252--265 (1953; Zbl 0050.04302)
Hölder, O. Bemerkungen zu einer Dirichletschen Frage. (German) Zbl 0012.29103 Ber. Verh. Sächs. Akad. Leipzig 87, 81-84 (1935). Reviewer: Lubelski (Waszawa) MSC: 11A15 11N69 PDF BibTeX XML
Salié, Hans On the distribution of quadratic residues. (Über die Verteilung der quadratischen Reste.) (German) Zbl 0007.39701 Math. Z. 37, 594-602 (1933). Reviewer: Harold M. Davenport (Cambridge) MSC: 11A15 11L05 PDF BibTeX XML Cite \textit{H. Salié}, Math. Z. 37, 594--602 (1933; Zbl 0007.39701) Full Text: DOI EuDML
Davenport, Harold On the distribution of quadratic residues (mod \(p\)). (English) Zbl 0001.12301 J. Lond. Math. Soc. 6, 49-54 (1931). Reviewer: N. G. W. H. Beeger MSC: 11A15 PDF BibTeX XML Cite \textit{H. Davenport}, J. Lond. Math. Soc. 6, 49--54 (1931; Zbl 0001.12301) Full Text: DOI
Davenport, H. On the distribution of quadratic residues (mod \(p\)). (English) JFM 57.0213.03 J. Lond. Math. Soc. 6, 49-54 (1931). Reviewer: Behrend, F. Dr. (Zürich) MSC: 11A15 PDF BibTeX XML Cite \textit{H. Davenport}, J. Lond. Math. Soc. 6, 49--54 (1931; JFM 57.0213.03) Full Text: DOI
Karpinski, L. C. On the distribution of quadratic residues. (Über die Verteilung der quadratischen Reste.) (German) JFM 35.0211.01 J. für Math. 127, 1-19 (1904). Reviewer: Landau, Prof. (Berlin) MSC: 11A15 PDF BibTeX XML Cite \textit{L. C. Karpinski}, J. Reine Angew. Math. 127, 1--19 (1904; JFM 35.0211.01) Full Text: DOI Crelle EuDML
Reich, K. On the theory of quadratic residues. (Zur Theorie der quadratischen Reste.) (German) JFM 24.0176.03 Hoppe Arch. (2) XI, 176-192 (1893). Reviewer: Simon, P., Dr. (Bonn) MSC: 11A15 11N25 PDF BibTeX XML Cite \textit{K. Reich}, Hoppe Arch. (2) 11, 176--192 (1893; JFM 24.0176.03)
Götting On the distribution of residues and non residues of a prime \(p\) of the form \(4n+3\) in the interval \([1,(p 1)/2]\). (Ueber die Vertheilung der Reste und Nichtreste einer Primzahl von der Form \(4n+3\) innerhalb des Intervalles 1 bis \(\frac{p-1}{2}.\).) (German) JFM 02.0087.03 Borchardt J. LXX, 363-364 (1869). Reviewer: Netto, Dr. (Berlin) MSC: 11A15 PDF BibTeX XML Cite \textit{Götting}, J. Reine Angew. Math. 70, 363--364 (1869; JFM 02.0087.03) Full Text: DOI Crelle