Alladi, Krishnaswami

• 2435323
  Surveys in number theory.
  Edited by Krishnaswami Alladi. Developments in Mathematics, 17. Springer, New York, 2008. x+188 pp. ISBN: 978-0-387-78509-7
  11-06 (05-06)
  
• 2405596
  Alladi, Krishnaswami(1-FL); Berkovich, Alexander(1-FL)
  Series and polynomial representations for weighted Rogers-Ramanujan partitions and products modulo 6. (English summary) Probability and number theory---Kanazawa 2005, 21--39,
  Adv. Stud. Pure Math., 49, Math. Soc. Japan, Tokyo, 2007.
  11P83 (05A17 05A19 33D15)
  
• 2192767
  Alladi, Krishnaswami(1-FL); Andrews, George E.(1-PAS); Ono, Ken(1-WI); McIntosh, Richard J.(3-RGN)
  On the work of Basil Gordon. (English. English summary)
  J. Combin. Theory Ser. A 113 (2006), no. 1, 21--38.
  11-03 (01A60 05A17 11Pxx)
• 2179269 (2006i:05017)
  Alladi, Krishnaswami(1-FL); Berkovich, Alexander(1-FL)
  Göllnitz-Gordon partitions with weights and parity conditions. (English summary) Zeta functions, topology and quantum physics, 1--17,
  Dev. Math., 14, Springer, New York, 2005.
  05A17 (05A30 11P83 33D15)
  
• 2063196
  Alladi, K.(1-FL); Andrews, G. E.(1-PAS); Berkovich, A.(1-FL)
  A four parameter generalization of Göllnitz's (big) partition theorem. (English. English summary)
  Unusual applications of number theory, 1--7,
  DIMACS Ser. Discrete Math. Theoret. Comput. Sci., 64,
  Amer. Math. Soc., Providence, RI, 2004.
  11P81 (05A15 05A17 11P83 33D15)
• 2053846
  Alladi, Krishnaswami(1-FL); Berkovich, Alexander(1-FL)
  New polynomial analogues of Jacobi's triple product and Lebesgue's identities. (English. English summary)
  Adv. in Appl. Math. 32 (2004), no. 4, 801--824.
  33D45 (11B65 11P81)
• 1992013
  Alladi, Krishnaswami(1-FL); Andrews, George E.(1-PAS); Berkovich, Alexander(1-FL)
  A new four parameter $q$-series identity and its partition implications. (English. English summary)
  Invent. Math. 153 (2003), no. 2, 231--260.
  05A30 (05A17 11B65 11P83 33D15)
• 1974131
  Alladi, Krishnaswami(1-FL); Berkovich, Alexander(1-FL)
  A limiting form of the $q$-Dixon $\sb 4\phi\sb 3$ summation and related partition identities. (English. English summary)
  Number theoretic methods (Iizuka, 2001), 1--14,
  Dev. Math., 8,
  Kluwer Acad. Publ., Dordrecht, 2002.
  11P83 (33D15)
• 1909082
  Alladi, Krishnaswami(1-FL); Berkovich, Alexander(1-FL)
  A double bounded version of Schur's partition theorem. (English. English summary)
  Special issue: Paul Erdös and his mathematics.
  Combinatorica 22 (2002), no. 2, 151--168.
  11P83 (05A17 05A19 11P81)
• 1895193
  Alladi, Krishnaswami(1-FL); Berkovich, Alexander(1-FL)
  New weighted Rogers-Ramanujan partition theorems and their implications. (English. English summary)
  Trans. Amer. Math. Soc. 354 (2002), no. 7, 2557--2577 (electronic).
  11P83 (05A17 05A19)
• 1880077
  Alladi, Krishnaswami(1-FL); Berkovich, Alexander(1-FL)
  A double bounded key identity for Göllnitz's (big) partition theorem. (English. English summary)
  Symbolic computation, number theory, special functions, physics and combinatorics (Gainesville, FL, 1999), 13--32,
  Dev. Math., 4,
  Kluwer Acad. Publ., Dordrecht, 2001.
  11P81 (05A17 05A19 33D15)
• 1779605
  Alladi, K.(1-FL); Solomon, R.(1-OHS); Turull, A.(1-FL)
  Finite simple groups of bounded subgroup chain length. (English. English summary)
  J. Algebra 231 (2000), no. 1, 374--386.
  20E15 (11N05 20D05)
• 1768921
  Alladi, Krishnaswami(1-FL)
  Reformulations of a partition theorem of Göllnitz and $q$-series identities. (English. English summary)
  $q$-series from a contemporary perspective (South Hadley, MA, 1998), 31--44,
  Contemp. Math., 254,
  Amer. Math. Soc., Providence, RI, 2000.
  11P83 (05A15 05A17 05A19)
• 1738804
  Alladi, Krishnaswami(1-FL)
  A fundamental but unexploited partition invariant. (English. English summary)
  Number theory and its applications (Kyoto, 1997), 19--23,
  Dev. Math., 2,
  Kluwer Acad. Publ., Dordrecht, 1999.
  11P81 (05A17)
• 1691312
  Alladi, Krishnaswami(1-FL)
  A fundamental invariant in the theory of partitions. (English. English summary)
  Topics in number theory (University Park, PA, 1997), 101--113,
  Math. Appl., 467,
  Kluwer Acad. Publ., Dordrecht, 1999.
  05A17 (05A15 11P83 33D15)
• 1681630
  Alladi, Krishnaswami(1-FL); Andrews, George E.(1-PAS)
  A quartic key identity for a partition theorem of Göllnitz. (English. English summary)
  J. Number Theory 75 (1999), no. 2, 220--236.
  11P81 (05A17 05A19 05A30 11P83 33D15)
• 1664494
  Alladi, Krishnaswami(1-FL)
  A variation on a theme of Sylvester---a smoother road to Göllnitz's (big) theorem. (English. English summary)
  Discrete Math. 196 (1999), no. 1-3, 1--11.
  11P81 (11P83)
• 1775697
  Analytic and elementary number theory.
  A tribute to mathematical legend Paul Erdös. Reprint of Ramanujan J. 2 (1998), no. 1-2. Edited by K. Alladi, P. D. T. A. Elliott, A. Granville and G. Tenenbaum. Developments in Mathematics, 1.
  Kluwer Academic Publishers, Boston, MA, 1998. 298 pp. ISBN 0-7923-8273-0
  11-06 (00B30)
• 1715770
  Alladi, Krishnaswami(1-FL)
  A fundamental but unexploited partition invariant.
  Number theory and its applications (Japanese) (Kyoto, 1997).
  S\=urikaisekikenky\=usho K\=oky\=uroku No. 1060, (1998), 47--51.
  11P83 (05A17 05A19 33D15)
• 1642869
  Alladi, Krishnaswami(1-FL)
  Partition identities involving gaps and weights. II. (English. English summary)
  Paul Erdös (1913--1996).
  Ramanujan J. 2 (1998), no. 1-2, 21--37.
  11P83 (05A15 05A17 05A19 11P81)
• 1617309
  Alladi, Krishnaswami(1-FL)
  On a partition theorem of Göllnitz and quartic transformations. (English. English summary)
  With an appendix by Basil Gordon.
  J. Number Theory 69 (1998), no. 2, 153--180.
  11P83 (05A17 05A30 33D10 33D20)
• 1478494
  Alladi, Krishnaswami(1-FL); Andrews, George E.(1-PAS)
  A new key identity for Göllnitz' (big) partition theorem. (English. English summary)
  Number theory (Tiruchirapalli, 1996), 229--241,
  Contemp. Math., 210,
  Amer. Math. Soc., Providence, RI, 1998.
  11P81 (05A17)
• 1610836
  International Symposium on Number Theory.
  Held at Anna University, Madras, January 1--2, 1996. Edited by Krishnaswami Alladi. Ramanujan J. 1 (1997), no. 4.
  Kluwer Academic Publishers, Hingham, MA, 1997. pp. i--ii and 331--448.
  11-06
• 1448677
  Alladi, Krishnaswami(1-FL)
  Refinements of Rogers-Ramanujan type identities. (English. English summary)
  Special functions, $q$-series and related topics (Toronto, ON, 1995), 1--35,
  Fields Inst. Commun., 14,
  Amer. Math. Soc., Providence, RI, 1997.
  11P83 (05A15)
• 1422593
  Alladi, Krishnaswami(1-FL)
  A combinatorial correspondence related to Göllnitz' (big) partition theorem and applications. (English. English summary)
  Trans. Amer. Math. Soc. 349 (1997), no. 7, 2721--2735.
  11P83 (11B65)
• 1401759
  Alladi, Krishnaswami(1-FL)
  Partition identities involving gaps and weights. (English. English summary)
  Trans. Amer. Math. Soc. 349 (1997), no. 12, 5001--5019.
  05A17
• 1418747
  Alladi, Krishnaswami(1-FL)
  The quintuple product identity and shifted partition functions. (English. English summary)
  J. Comput. Appl. Math. 68 (1996), no. 1-2, 3--13.
  33D20 (11P81 11P83 30B10)
• 1399329
  Alladi, Krishnaswami(1-FL)
  Weighted partition identities and applications. (English. English summary)
  Analytic number theory, Vol. 1 (Allerton Park, IL, 1995), 1--15,
  Progr. Math., 138,
  Birkhäuser Boston, Boston, MA, 1996.
  11P83 (05A17 05A19 11P81)
• 1345170
  Alladi, Krishnaswami(1-FL)
  The method of weighted words and applications to partitions. (English. English summary)
  Number theory (Paris, 1992--1993), 1--36,
  London Math. Soc. Lecture Note Ser., 215,
  Cambridge Univ. Press, Cambridge, 1995.
  11P83 (05A15 11B65 33D80)
• 1334229
  Alladi, Krishnaswami(1-FL); Andrews, George(1-PAS); Gordon, Basil(1-UCLA)
  Refinements and generalizations of Capparelli's conjecture on partitions.
  J. Algebra 174 (1995), no. 2, 636--658.
  11P81 (05A17)
• 1316576
  Alladi, Krishnaswami(1-FL); Andrews, George E.(1-PAS); Gordon, Basil(1-UCLA)
  Generalizations and refinements of a partition theorem of Göllnitz.
  J. Reine Angew. Math. 460 (1995), 165--188.
  11P81 (05A17 33D15)
• 1297520
  Alladi, Krishnaswami(1-FL); Gordon, Basil(1-UCLA)
  Schur's partition theorem, companions, refinements and generalizations. (English. English summary)
  Trans. Amer. Math. Soc. 347 (1995), no. 5, 1591--1608.
  11P83 (05A17 05A19 11P81)
• 1284910
  Alladi, Krishnaswami(1-FL)
  Some new observations on the Göllnitz-Gordon and Rogers-Ramanujan identities. (English. English summary)
  Trans. Amer. Math. Soc. 347 (1995), no. 3, 897--914.
  11P82 (05A30 11B65 11P81 33D10)
• 1284056
  Alladi, Krishnaswami(1-FL); Gordon, Basil(1-UCLA)
  Vanishing coefficients in the expansion of products of Rogers-Ramanujan type. (English. English summary)
  The Rademacher legacy to mathematics (University Park, PA, 1992), 129--139,
  Contemp. Math., 166,
  Amer. Math. Soc., Providence, RI, 1994.
  33D10 (11F33 33E99)
• 1268339
  Alladi, Krishnaswami(1-FL)
  On the modified convergence of some continued fractions of Rogers-Ramanujan type. (English. English summary)
  J. Combin. Theory Ser. A 65 (1994), no. 2, 214--245.
  11B65 (11A55 11P81)
• 1223685
  Alladi, Krishnaswami(1-FL); Gordon, Basil(1-UCLA)
  Partition identities and a continued fraction of Ramanujan. (English. English summary)
  J. Combin. Theory Ser. A 63 (1993), no. 2, 275--300.
  11P81 (11A55)
• 1216769
  Alladi, Krishnaswami(1-FL); Gordon, Basil(1-UCLA)
  Generalizations of Schur's partition theorem. (English. English summary)
  Manuscripta Math. 79 (1993), no. 2, 113--126.
  11P83
• 1019325
  Alladi, Krishnaswami(1-FL)
  The distribution of additive functions in special sets of integers.
  Number theory, Madras 1987, 21--63,
  Lecture Notes in Math., 1395,
  Springer, Berlin, 1989.
  11N60 (11K65)
• 1019323
  Number theory, Madras 1987.
  Proceedings of the International Ramanujan Centenary Conference held at Anna University, Madras, December 21, 1987. Edited by K. Alladi. Lecture Notes in Mathematics, 1395.
  Springer-Verlag, Berlin, 1989. viii+234 pp. ISBN 3-540-51595-X
  11-06
• 987571
  Alladi, K.(1-FL); Erdös, P.(H-AOS); Vaaler, J. D.(1-TX)
  Multiplicative functions and small divisors. II.
  J. Number Theory 31 (1989), no. 2, 183--190.
  11N37
• 990503
  Alladi, Krishnaswami(1-FL)
  Probabilistic number theory and Brun's sieve.
  Séminaire de Théorie des Nombres, Paris 1986--87, 1--26,
  Progr. Math., 75,
  Birkhäuser Boston, Boston, MA, 1988.
  11N60 (11K65)
• 971075
  Alladi, Krishnaswami(6-MATSCI)
  Multiplicative functions and Brun's sieve.
  Acta Arith. 51 (1988), no. 3, 201--219.
  11N35
• 1018367
  Alladi, K.(6-MATSCI); Erdös, P.(H-AOS); Vaaler, J. D.(1-TX)
  Multiplicative functions and small divisors.
  Analytic number theory and Diophantine problems (Stillwater, OK, 1984), 1--13,
  Progr. Math., 70,
  Birkhäuser Boston, Boston, MA, 1987.
  11N37
• 913766
  Alladi, Krishnaswami(6-MATSCI)
  An Erdös-Kac theorem for integers without large prime factors.
  Acta Arith. 49 (1987), no. 1, 81--105.
  11N60 (11N25)
• 970326
• 970325
• 970324
• 970323
• 804239
  Alladi, Krishnaswami(6-MATSCI)
  A new application of the sieve to probabilistic number theory.
  Topics in analytic number theory (Austin, Tex., 1982), 1--27,
  Univ. Texas Press, Austin, TX, 1985.
  11N35 (11K65)
• 797776
  Alladi, Krishnaswami(6-MATSCI)
  A study of the moments of additive functions using Laplace transforms and sieve methods.
  Number theory (Ootacamund, 1984), 1--37,
  Lecture Notes in Math., 1122,
  Springer, Berlin, 1985.
  11N60 (11K65 11N35)
• 797775
  Number theory.
  Proceedings of the fourth Matscience conference held at Ootacamund, January 5--10, 1984. Edited by K. Alladi. Lecture Notes in Mathematics, 1122.
  Springer-Verlag, Berlin, 1985. vi+217 pp. ISBN 3-540-15222-9
  11-06
• 789168
  Alladi, Krishnaswami
  Moments of additive functions and the sequence of shifted primes.
  Pacific J. Math. 118 (1985), no. 2, 261--275.
  11K65 (11N60)
• 750660
  Alladi, Krishnaswami(1-IASP)
  Moments of additive functions and sieve methods.
  Number theory (New York, 1982), 1--25,
  Lecture Notes in Math., 1052,
  Springer, Berlin, 1984.
  11M56 (11K65)
• 665437
  Alladi, Krishnaswami
  Additive functions and special sets of integers.
  Number theory (Mysore, 1981), pp. 1--49,
  Lecture Notes in Math., 938,
  Springer, Berlin-New York, 1982.
  10K20
• 667466
  Alladi, Krishnaswami
  The Turán-Kubilius inequality for integers without large prime factors.
  J. Reine Angew. Math. 335 (1982), 180--196.
  10H22 (10K20)
• 665447
  Alladi, Krishnaswami; Ramachandra, K.; Ram Murthy, M.; Sivaramakrishnan, R.
  Problem session.
  Number theory (Mysore, 1981), pp. 170--177,
  Lecture Notes in Math., 938,
  Springer, Berlin-New York, 1982.
  10-02
• 657120
  Alladi, Krishnaswami
  The distribution of $\nu (n)$ in the sieve of Eratosthenes.
  Quart. J. Math. Oxford Ser. (2) 33 (1982), no. 130, 129--148.
  10H25 (10K20)
• 656482
• 644903
• 665436
  Number theory.
  Proceedings of the Third Matscience Conference held in Mysore, June 3--6, 1981. Edited by Krishnaswami Alladi. Lecture Notes in Mathematics, 938.
  Springer-Verlag, Berlin-New York, 1982. ix+177 pp. ISBN 3-540-11568-4
  10-06
• 627396
  Alladi, Krishnaswami
  On the probability that $n$ and $\Omega (n)$ are relatively prime.
  Fibonacci Quart. 19 (1981), no. 3, 228--233.
  10H25
• 615918
  Alladi, Krishnaswami
  The Moebius function and numbers with restricted prime factors.
  Proceedings of the Conference on Number Theory (Mysore, 1979), pp. 1--46,
  Matscience Rep., 101,
  Aarhus Univ., Aarhus, 1980.
  10H25
• 579389
  Alladi, K.; Robinson, M. L.
  Legendre polynomials and irrationality.
  J. Reine Angew. Math. 318 (1980), 137--155.
  10F35
• 603805
  Alladi, Krishnaswami
  Legendre polynomials and irrational numbers.
  Matscience Report, 100.
  Aarhus University, Institute of Mathematics, Department of Theoretical Statistics, Aarhus, 1979. 84 pp.
  10F35 (10-01 33A65)
• 564919
  Alladi, K.; Robinson, M. L.
  On certain irrational values of the logarithm.
  Number theory, Carbondale 1979 (Proc. Southern Illinois Conf., Southern Illinois Univ., Carbondale, Ill., 1979), pp. 1--9,
  Lecture Notes in Math., 751,
  Springer, Berlin, 1979.
  10F35
• 551689
  Alladi, K.; Erdös, P.
  On the asymptotic behavior of large prime factors of integers.
  Pacific J. Math. 82 (1979), no. 2, 295--315.
  10H15
• 522715
  Alladi, K.; Erdös, P.; Hoggatt, V. E., Jr.
  On additive partitions of integers.
  Discrete Math. 22 (1978), no. 3, 201--211.
  10A45 (05A05 05C15)
• 557005
  Hoggatt, V. E., Jr.; Alladi, Krishnaswami
  Compositions and recurrence relations. II.
  Fibonacci Quart. 15 (1977), no. 3, 239--245.
  10A35
• 480313
  Hoggatt, V. E., Jr.; Alladi, Krishnaswami
  Limiting ratios of convolved recursive sequences.
  Fibonacci Quart. 15 (1977), no. 3, 211--214.
  10A35
• 476666
  Alladi, Krishnaswami
  Duality between prime factors and an application to the prime number theorem for arithmetic progressions.
  J. Number Theory 9 (1977), no. 4, 436--451.
  10H15
• 472663
  Alladi, Krishnaswami
  Analogues to the Hardy-Ramanujan theorems.
  Proceedings of the Conference on Matrix Algebra, Computational Methods and Number Theory (Mysore, 1976), Paper No. 3, 19 pp. Matscience Report No. 87,
  Inst. Math. Sci., Madras, 1977.
  10A25
• 453674
  Alladi, Krishnaswami; Grinstead, Charles
  On the decomposition of $n!$ into prime powers.
  J. Number Theory 9 (1977), no. 4, 452--458.
  10H25
• 447086
  Alladi, K.; Erdös, P.
  On an additive arithmetic function.
  Pacific J. Math. 71 (1977), no. 2, 275--294.
  10A20 (10A45)
• 441840
  Alladi, Krishnaswami; Shannon, A. G.
  On a property of consecutive Farey-Fibonacci fractions.
  Fibonacci Quart. 15 (1977), no. 2, 153--155.
  10A35
• 439721
  Alladi, Krishnaswami
  On arithmetic functions and divisors of higher order.
  J. Austral. Math. Soc. Ser. A 23 (1977), no. 1, 9--27.
  10A20
• 427218
  Alladi, Krishnaswami; Hoggatt, V. E., Jr.
  On Tribonacci numbers and related functions.
  Fibonacci Quart. 15 (1977), no. 1, 42--45.
  10A35
• 427081
  Alladi, Krishnaswami
  On polynomials generated by triangular arrays.
  Fibonacci Quart. 14 (1976), no. 5, 461--465.
  05A10 (10A35)
• 407730
  Hoggatt, Verner E., Jr.; Alladi, Krishnaswami
  In-winding spirals.
  Fibonacci Quart. 14 (1976), no. 2, 144--146.
  52A45
• 485656
  Alladi, Krishnaswami
  New concepts in arithmetic functions.
  MATSCIENCE Report No. 83.
  The Institute of Mathematical Sciences, Madras, 1975. iii+68 pp. (not consecutively paged).
  10A20
• 409337
  Alladi, Krishnaswami; Hoggatt, V. E., Jr.
  Compositions with ones and twos.
  Fibonacci Quart. 13 (1975), no. 3, 233--239.
  10A30
• 401627
  Alladi, Krishnaswami
  A rapid method to form Farey Fibonacci fractions.
  Fibonacci Quart. 13 (1975), 31--32.
  10A35
• 401626
  Alladi, Krishnaswami
  A Farey sequence of Fibonacci numbers.
  Fibonacci Quart. 13 (1975), 1--10.
  10A35
• 382156
  Alladi, Krishnaswami
  Sets generated by arithmetic sequences.
  Proc. Indian Acad. Sci. Sect. A 81 (1975), no. 6, 245--251.
  10A45
• 376548
  Alladi, Krishnaswami
  Approximation of irrationals with Farey Fibonacci fractions.
  Fibonacci Quart. 13 (1975), no. 3, 255--259.
  10F35
• 364075
  Hoggatt, Verner E., Jr.; Alladi, Krishnaswami
  Generalized Fibonacci tiling.
  Fibonacci Quart. 13 (1975), 137--145.
  10A35
• 409369
  Alladi, Krishnaswami
  Diophantine approximation.
  Lectures delivered at Matscience. Matscience report 80.
  Institute of Mathematical Sciences, Madras, 1974. 56 pp. (not consecutively paged).
  10FXX
• 432518
  Alladi, Krishnaswami
  Contributions to number theory.
  Revised and enlarged edition. Matscience Report, No. 74-A.
  The Institute of Mathematical Sciences, Madras, 1973. ii+100 pp. (not consecutively paged).
  10AXX